UAS 22-23 FAD1022 Basic Physic II
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UNIVERSITI MALAYA
UNIVERSITI MALAYA
PROGRAM ASASI SAINS HAYAT / FIZIKAL
FOUNDATION IN LIFE / PHYSICAL SCIENCES PROGRAMME
PUSAT ASASI SAINS
CENTRE FOR FOUNDATION STUDIES IN SCIENCE
SESI AKADEMIK 2022/2023 : SEMESTER 2
ACADEMIC SESSION 2022/2023 : SEMESTER 2
FAD1022 : FIZIK ASAS 2
BASIC PHYSICS 2
JUN 2023 MASA : 3 JAM
JUNE 2023 TIME : 3 HOURS
ARAHAN KEPADA CALON:
INSTRUCTIONS TO CANDIDATES:
Kertas ini mengandungi TIGA bahagian iaitu BAHAGIAN A, BAHAGIAN B dan BAHAGIAN C. Calon dikehendaki menjawab SEMUA soalan di BAHAGIAN A, TIGA (3) soalan daripada BAHAGIAN B dan EMPAT (4) soalan daripada BAHAGIAN C.
This paper consists of THREE sections, namely SECTION A, SECTION B and SECTION C. Candidates are required to answer ALL questions in SECTION A, THREE (3) questions from SECTION B and FOUR (4) questions from SECTION C.
CONSTANT
Permittivity of free space, $\varepsilon_0$ = $8.85 \times 10^{-12}$ F m$^{-1}$
Permeability free space, $\mu_0$ = $1.27 \times 10^{-6}$ H m$^{-1}$ / $4\pi \times 10^{-7}$ H m$^{-1}$
Mass of electron, $m_e$ = $9.81 \times 10^{-31}$ kg $9.11 \times 10^{-31}$ kg
Electron charge, $e$ = $1.6 \times 10^{-19}$ C
Planck's constant, $h$ = $6.63 \times 10^{-34}$ J s
Coulomb's constant, $k$ = $9 \times 10^{9}$ N m$^{-2}$ C
(Kertas ini mengandungi 15 soalan di BAHAGIAN A, 5 soalan di BAHAGIAN B dan 6 soalan di BAHAGIAN C pada 19 halaman bercetak)
(This question paper consists of 15 questions in SECTION A, 5 questions in SECTION B and 6 questions in SECTION C in 19 printed pages)
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BAHAGIAN A
SECTION A
Jawab SEMUA soalan di Bahagian A
Answer ALL questions in Section A
A1. Medan elektrik seragam, E dengan magnitud $3.5 \times 10^{3}$ N C$^{-1}$ melalui cakera berjejari 0.2 m. Permukaan cakera dicondongkan pada sudut 40° dari serenjang ke E. Kirakan fluks elektrik melalui cakera. [3 markah]
A uniform electric field, E with magnitude $3.5 \times 10^{3}$ N C$^{-1}$ passes through a disk of radius 0.2 m. The area is tilted at angle 40° from perpendicular to E. Calculate the electric flux through the disk. [3 marks]
A2. Kirakan tenaga yang tersimpan dalam kapasitor bernilai 25 $\mu$F apabila dicaskan kepada 3 mC. [3 markah]
Calculate the energy stored in a capacitor of 25 $\mu$F when it is charged to 3 mC. [3 marks]
A3. Satu bateri mempunyai d.g.e 1.5 V. Apabila disambungkan kepada satu litar, voltan terminalnya bernilai 1.3 V manakala arus adalah 1.2 A. Kirakan rintangan dalam bagi bateri tersebut. . [3 markah]
A battery has emf of 1.5 V. When it is connected to a circuit, the terminal voltage is measured to be 1.3 V whilst current is 1.2 A. Compute the battery's internal resistance. [3 marks]
A4. Satu induktor mempunyai reaktans 150 $\Omega$ dalam satu litar a.u. 60 Hz. Kirakan induktans bagi induktor itu. [3 markah]
An inductor has a reactance of 150 $\Omega$ in a 60 Hz a.c. circuit. Calculate the inductance of the inductor. [3 marks]
A5. Reaktans suatu induktor dan kapasitor adalah sama pada 800 Hz. Kirakan nisbah reaktans kapasitif kepada reaktans induktif pada 80 Hz. [3 markah]
The reactance of an inductor and a capacitor are equal at 800 Hz. Calculate the ratio of the capacitive reactance to the inductive reactance at 80 Hz. [3 marks]
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A6. (a)
Dua elektron berada di dalam kawasan tanpa medan magnet. Elektron A berada dalam keadaan pegun, manakala elektron B bergerak ke arah paksi +x dengan laju malar. Kemudian, medan magnet dikenakan ke arah paksi +z. Tentukan arah gerakan, jika ada, bagi setiap elektron selepas medan magnet dikenakan. [2 markah]
Two electrons are located within a magnetic field-free region. Electron A is stationary, while electron B moves constantly towards the +x-axis. A magnetic field is then applied towards the +z-axis. Determine the direction of motion, if any, of each electron when the magnetic field is applied. [2 marks]
(b)
Satu gelung konduktif dengan jejari, $r$ membawa arus malar, $I$ diletakkan di dalam medan magnet seragam, $B$. Jika $B$ berserenjang dengan satah gelung, huraikan dengan ringkas tork magnet yang bertindak ke atas gelung. [1 markah]
A conductive loop with radius, $r$ carries a constant current, $I$ is placed in a uniform magnetic field, $B$. If $B$ is perpendicular to the plane of the loop, describe briefly the magnetic torque acting on the loop. [1 mark]
A7. Satu elektron bergerak merentasi satu pemilih halaju, Rajah A7. Kirakan laju, $v$ bagi elektron jika ianya tidak mengalami pesongan disebabkan oleh medan elektrik, $5.2 \times 10^5$ V m$^{-1}$ dan medan magnet, $2.8 \times 10^{-3}$ T. [3 markah]
An electron moves across a velocity selector, Figure A7. Calculate the speed, $v$ of the electron if the electron experiences no deflection due to the electric field of $5.2 \times 10^5$ V m$^{-1}$ and the magnetic field of $2.8 \times 10^{-3}$ T. [3 marks]
[Diagram: Two horizontal parallel plates with the top plate marked positive (+) and the bottom plate marked negative (−). A downward arrow between the plates is labeled E. To the left, an electron represented as a circle containing a minus sign (⊖) is labeled $q$ and has a rightward arrow labeled $v$. To the right between the plates, a circle containing the symbol ⊗ is labeled $B$ (magnetic field directed into the page). Caption: Rajah A7 / Figure A7]
A8. Sebuah kapal terbang dengan lebar sayap 40 m terbang mendatar dan menghala ke utara pada kelajuan 400 m s$^{-1}$ di kawasan di mana medan magnet bumi 60 μT diarahkan 50° di bawah mengufuk. Kirakan magnitud emf teraruh di hujung sayap. [3 markah]
An airplane with a wingspan of 40 m flies horizontally and due north at a speed of 400 m s$^{-1}$ in a region where the magnetic field of the earth is 60 μT directed 50° below the horizontal. Calculate the magnitude of the induced emf at the wingspan. [3 marks]
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A9. Sebuah magnet bar dipegang di atas pusat gelung dawai mendatar, Rajah A8. Kemudian magnet bar ditarik menjauhi gelung,
(a) Lukis rajah dan labelkan arah
(i) medan magnet aruhan [1 markah]
(ii) arus aruhan melalui perintang [1 markah]
(b) Tentukan polariti positif samaada di A atau B [1 markah]
A bar magnet is held above the centre of a horizontal wire loop, Figure A8. Then the magnet is pulled away from the loop
(a) Redraw the figure and label the direction of the induced
(i) magnetic field [1 mark]
(ii) current through the resistor. [1 mark]
(b) Determine the positive polarity either at A or B [1 mark]
[Diagram: A vertical bar magnet with N at the top and S at the bottom is held above a horizontal circular wire loop. The loop has point A on the left side and point B on the right side, with a resistor labeled R between them at the bottom of the loop. An N label appears inside the loop and an S label appears below the loop. Caption: Rajah A8 / Figure A8]
A10. Huraikan secara ringkas mengapa transformer perlu menggunakan AC dan bukannya DC. [3 markah]
Explain briefly why transformers must use AC instead of DC. [3 marks]
A11. Sebuah ideal transformer mempunyai 30 kali ganda bilangan lilitan pada sekunder yang mampu menghasilkan voltan 150 kV. Jika lilitan pada primer adalah 1000, kirakan nilai voltan yang melaluinya. [3 markah]
An ideal transformer has 30 times number of turns on secondary that could produce 150 kV. If the number of turns in primary is 1000, calculate voltage across it. [3 marks]
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A12. Satu bekalan kuasa arus terus disambung secara siri kepada satu diod dan satu perintang. Walaubagaimanapun, tiada arus dikesan di dalam rangkaian tersebut. Berdasarkan pemahaman anda tentang diod, tentukan DUA kemungkinan sebab berlakunya situasi tersebut. Cadangkan SATU kaedah untuk menangani isu ini. [3 markah]
A direct current power supply is connected in series to a diode and a resistor. However, there is no current detected in the network. Based on your understanding of diode, determine TWO possible reasons for the situation. Suggest ONE method to counter the issue. [3 marks]
A13. Satu diod germanium terpincang hadapan dan satu perintang $500\ \Omega$ disambung secara siri kepada bekalan kuasa arus terus $10\ \text{V}$. Kirakan arus melalui diod tersebut. [3 markah]
A forward-biased germanium diode and a $500\ \Omega$ resistor are connected in series to a $10\ \text{V}$ direct current power supply. Calculate current through the diode. [3 marks]
A14. Menggunakan persamaan kesan fotoelektrik,
(a) Tentukan keadaan yang menyebabkan fotoelektron dibebaskan dari permukaan logam? [1 markah]
(b) Terangkan secara ringkas mengapa tenaga kinetik maksimum $K_{\text{max}}$ tidak bergantung pada keamatan sinar tuju. [2 markah]
Using photoelectric effect equation,
(a) Indicate a condition that causes the photoelectron to be ejected from the surface of metal. [1 mark]
(b) Briefly explain why maximum kinetic energy $K_{\text{max}}$ does not depend on the intensity of incident radiation. [2 marks]
A15. Tentukan panjang gelombang de Broglie bagi elektron yang bergerak pada kelajuan $3.3 \times 10^{-6}\ \text{m s}^{-1}$. [3 markah]
Determine the de Broglie's wavelength of an electron travelling at a speed of $3.3 \times 10^{-6}\ \text{m s}^{-1}$. [3 marks]
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BAHAGIAN B SECTION B
Jawab TIGA soalan dari Bahagian B Answer THREE questions in Sectio B
B1. (a) Dua cas negatif disusun seperti di Rajah B1(a). Kirakan
(i) magnitud dan arah paduan medan elektrik pada titik A [5 markah]
(ii) magnitud daya jika cas ujian $+4.0\ \text{nC}$ diletakkan pada titik A. [1 markah]
Two negative charges are arranged as in Figure B1(a). Calculate the
(i) magnitude and direction of resultant electric field at point A [5 marks]
(ii) magnitude of force if test charge $+4.0\ \text{nC}$ is placed at point A. [1 mark]
[Diagram: A right triangle with point A at the upper-left vertex. A horizontal line segment connects A to $q_1$ with length labelled $0.5\ \text{m}$. A vertical line segment connects $q_1$ down to $q_2$ with length labelled $0.5\ \text{m}$. A diagonal line segment connects A directly to $q_2$. The charge at the upper right is labelled $q_1 = -6.0\ \text{nC}$. The charge at the lower right is labelled $q_2 = -5.0\ \text{nC}$.]
Rajah B1(a) / Figure B1(a)
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(b) Dua titik cas $+15$ nC dan $-15$ nC disusun seperti dalam Rajah B1(b). Kirakan (i) keupayaan elektrik di titik X. [4 markah] (ii) tenaga keupayaan elektrik jika cas $-8$ nC diletakkan di titik X. [2 markah]
Two point charges of $+15$ nC and $-15$ nC are arranged as in Figure B1(b). Calculate the (i) electric potential at X. [4 marks] (ii) electric potential energy if a charge $-8$ nC is placed at X. [2 marks]
[Triangle diagram with vertex X at the top. The left base vertex is labeled $+15$ nC and the right base vertex is labeled $-15$ nC. The left side from $+15$ nC to X is labeled 12 cm. The right side from $-15$ nC to X is labeled 10 cm. The base between $+15$ nC and $-15$ nC is labeled 10 cm.]
Rajah B1(b) / Figure B1(b)
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B2. (a) Sebuah kapasitor plat selari mempunyai plat berdimensi $2.5\text{ cm} \times 3.0\text{ cm}$ dipisahkan oleh kertas setebal $1.2\text{ mm}$. Pemalar dielektrik kertas, $\varepsilon_r$ ialah $3.7$ dan kekuatan dielektrik kertas ialah $16 \times 10^6\text{ V m}^{-1}$. (i) Kirakan kapasitan. [3 markah] (ii) Kirakan beza keupayaan maksimum, $V_{\text{maks}}$ yang boleh digunakan pada kapasitor. [2 markah] (iii) Nyatakan apakah yang akan berlaku kepada bahan penebat jika keupayaan maksimum melebihi $V_{\text{maks}}$. [1 markah]
A parallel-plate capacitor with dimensions of $2.5\text{ cm} \times 3.0\text{ cm}$ is separated by paper with $1.2\text{ mm}$ thickness. The dielectric constant of the paper, $\varepsilon_r$ is $3.7$ and the dielectric strength of paper is $16 \times 10^6\text{ V m}^{-1}$. (i) Calculate its capacitance. [3 marks] (ii) Calculate the maximum potential difference, $V_{\max}$ that can be applied to the capacitor. [2 marks] (iii) State what will happen to the insulating material if the potential difference exceeds the $V_{\max}$. [1 mark]
(b) Empat kapasitor bagi kapasitans $5,\mu\text{F}$, $2,\mu\text{F}$, $4,\mu\text{F}$ dan $3,\mu\text{F}$ disambungkan dalam litar seperti ditunjukkan dalam Rajah B2(b) di bawah. Kirakan (i) kapasitans setara. [3 markah] (ii) cas yang disimpan dalam kapasitor $5,\mu\text{F}$. [3 markah]
Four capacitors of capacitances $5,\mu\text{F}$, $2,\mu\text{F}$, $4,\mu\text{F}$ and $3,\mu\text{F}$ are connected in a circuit as shown in Figure B2(b) below. Calculate the (i) equivalent capacitance. [3 marks] (ii) charge stored in the $5,\mu\text{F}$ capacitor. [3 marks]
[Circuit diagram. A 12 V battery at the bottom. The top branch contains a $5,\mu\text{F}$ capacitor in series with a parallel combination of a $2,\mu\text{F}$ capacitor and a $4,\mu\text{F}$ capacitor. A $3,\mu\text{F}$ capacitor is connected in parallel across the entire top branch, directly across the 12 V source.]
Rajah B2(b) / Figure B2(b)
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B3. (a) Dengan menggunakan Hukum Voltan Kirchhoff, tentukan nilai $R_2$ dalam Rajah B3(a). [6 markah]
By using Kirchhoff's Voltage Law, determine the value of $R_2$ in Figure B3(a). [6 marks]
[Circuit diagram: A DC voltage source $\mathcal{E} = 6.0\ \text{V}$ connected in series with resistor $R_1 = 2.0\ \Omega$ and resistor $R_2$. The output voltage $\Delta V_{\text{out}} = 2.0\ \text{V}$ is indicated across $R_2$.]
Rajah B3(a) / Figure B3(a)
(b) Tentukan nilai arus $I_3$ dalam Rajah B3(b) dengan menggunakan Hukum-hukum Kirchhoff. [6 markah]
Determine magnitude of current $I_3$ in Figure B3(b) by using Kirchhoff's Laws. [6 marks]
[Circuit diagram: Three parallel branches connected at Node a. Left branch: a $12.0\ \text{V}$ battery in series with a $0.05\ \Omega$ resistor; current $I_1$ flows toward Node a. Middle branch: a $10.0\ \text{V}$ battery in series with a $1.5\ \Omega$ resistor; current $I_2$ flows downward away from Node a. Right branch: a $1.00\ \Omega$ resistor; current $I_3$ flows away from Node a.]
Rajah B3(b) / Figure B3(b)
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B4
(a) Tentukan arus pmkd jika bekalan kuasa $240\ \text{V}$, $60\ \text{Hz}$ a.u. disambungkan secara berasingan kepada (i) $23\ \Omega$ resistor. [2 markah] (ii) $550\ \mu\text{F}$ kapasitor. [2 markah] (iii) $60\ \text{mH}$ induktor. [2 markah]
Determine the rms current if $240\ \text{V}$, $60\ \text{Hz}$ a.c. power supply is connected separately to a (i) $23\ \Omega$ resistor. [2 marks] (ii) $550\ \mu\text{F}$ capacitor. [2 marks] (iii) $60\ \text{mH}$ inductor. [2 marks]
(b) Rajah B4(b) (i) dan (ii) menunjukkan rajah phasor mewakili dua isyarat pada $\text{t} = 0$. Lakarkan gelombang sinusoidal dan nyatakan isyarat yang manakah mendahului bagi setiap rajah phasor. [6 markah]
Figure B4(b) (i) and (ii) shows the phasor diagram represents two signals at $\text{t} = 0$. Sketch sinusoidal wave and state which signal leads for each phasor diagram. [6 marks]
[Two phasor diagrams labeled (i) and (ii). Diagram (i): A circle with phasor V pointing vertically upward and phasor I pointing horizontally to the right; the phase angle between them is labeled $\phi = \frac{\pi}{2}$. Diagram (ii): A circle with phasor V pointing horizontally to the right and phasor I pointing upward and to the right at an angle; the phase angle between them is labeled $\phi = \frac{\pi}{4}$.]
(i) (ii)
Rajah B4(b) / Figure B4(b)
10/19
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(b) Dua landasan pengalir berjarak $\ell = 1.20$ m daripada satu sama lain diletakkan dalam medan magnet seragam B, 2.50 T, yang berserenjang terhadap satah landasan, Rajah C2(b). Diberi rintangan, $R = 6\ \Omega$.
(i) Kirakan laju yang diperlukan untuk menghasilkan arus 0.50 A dalam perintang. [4 markah]
(ii) Kenalpasti titik potensi tertinggi, C or D. [1 markah]
(iii) Jika arah v adalah bertentangan, tentukan arus yang mengalir melalui perintang, kiri ke kanan atau kanan ke kiri. [1 markah]
Two conducting rails at a distance $\ell = 1.20$ m from each other are placed in a uniform magnetic field, $B$ of $2.50$ T, which is perpendicular to the rail plane, Figure C2(b). Given a resistance, $R = 6\ \Omega$.
(i) Calculate the speed required to generate a current of $0.50$ A in the resistor. [4 marks]
(ii) Identify the point with the highest potential, C or D. [1 mark]
(iii) If the direction of $v$ is in the opposite direction, determine the direction of the induced current, left to right or right to left. .[1 mark]
[Diagram: Two vertical parallel conducting rails separated by distance $\ell$. A horizontal conducting bar labeled CD connects the rails, with C at the left end and D at the right end. The bar moves downward with velocity $v$. A resistor R is connected across the top of the rails. The magnetic field B is directed into the page, indicated by $\times$ symbols throughout the rail plane.]
Rajah C2(b) / Figure C2(b)
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C3. (a) Satu gelung segi empat tepat berkeluasan $0.10\ \text{m}^2$ berputar pada 60 putaran/s dengan paksi putarannya berserenjang dengan medan magnet 0.20 T. Rajah C3. Jika terdapat 1000 lilitan pada gelung, kirakan voltan maksimum teraruh dalam gelung. [3 markah]
A rectangular loop of area $0.10\ \text{m}^2$ is rotating at 60 rev/s with its axis of rotation perpendicular to a 0.20T magnetic field, Figure C3. If there are 1000 turns on the loop, calculate the maximum voltage induced in the loop. [3 marks]
[Diagram: A rectangular wire loop rotating between the poles of a magnet, with N pole on the left and S pole on the right. The loop is shown at an inclined angle to the horizontal. A curved arrow indicating rotation is labeled $\omega$. Velocity vectors labeled $v$ point outward from the top and bottom edges of the loop.]
Rajah C3 / Figure C3
(b) Satah bagi gegelung segi empat tepat, 5.0 cm x 8.0 cm, berserenjang dengan arah medan magnet B. Jika gegelung itu mempunyai 75 lilitan dan jumlah rintangan $8.0\ \Omega$, berapakah kadar perubahan magnitude B yang diperlukan untuk mengaruh arus 0.10 A dalam lilitan gegelung? [3 markah]
The plane of a rectangular coil, 5.0 cm by 8.0 cm, is perpendicular to the direction of a magnetic field B. If the coil has 75 turns and a total resistance of $8.0\ \Omega$, at what rate must the magnitude of B change to induce a current of 0.10 A in the windings of the coil? [3 marks]
(c) Satu transformer ideal mempunyai nisbah lilitan pertama kepada lilitan kedua sebanyak 3:25. Jika 600 V dibekalkan pada gegelung pertama dan perintang $14.0\ \Omega$ disambungkan pada gegelung kedua, kirakan
(i) voltan pada gegelung kedua. [3 markah]
(ii) arus pada gegelung pertama. [3 markah]
An ideal transformer has a ratio of the primary turns to the secondary turns is 3:25. If 600 V is connected to the primary coil and $14.0\ \Omega$ resistor is connected to the secondary coil, calculate the
(i) voltage in secondary coil. [3marks]
(ii) current in primary coil [3marks]
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C4.
(a) Satu gegelung induktor dengan 50 lilitan disambungkan dalam satu litar. Sebanyak 70 mWb fluk magnet terhasil apabila arus 4.0 A melalui induktor.
(i) Kirakan nilai induktans yang terhasil. [3 markah]
(ii) Jika nilai arus berkurang kepada sifar dalam masa 9.5 ms, kirakan nilai d.g.e teraruh yang terhasil. [3 markah]
An inductor coil has 50 turns is connected in a circuit. 70 mWb of magnetic flux is obtained when 4.0 A current passes through the inductor.
(i) Calculate value of the inductance. [3 marks]
(ii) If the value of current decrease to zero in 9.5 ms, calculate the value of induced emf produced. [3 marks]
(b) Kirakan tenaga tersimpan di dalam lingkaran swa induktans untuk solenoid yang mempunyai 800 bilangan lilitan, berjejari 1.0 cm dan panjang 4.5 cm apabila arus 10.0 A melaluinya. [6 markah]
Calculate the energy stored in a coil of self-inductance for solenoid that have 800 turns, 1.0 cm radius and 4.5 cm of length when a current of 10.0 A flows in it. [6 marks]
[Blank space for working]
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C5
a) Bagi rangkaian Rajah C5, tentukan
i. $I_B$ [4 markah]
ii. $I_C$ [3 markah]
For the network of Figure C5, determine
i. $I_B$ [4 marks]
ii. $I_C$ [3 marks]
b) Tentukan
i. $V_{CE}$ [2 markah]
ii. kesan kepada $V_{CE}$ sekiranya $\beta$ bertambah? [3 markah]
Determine
i. $V_{CE}$ [2 marks]
ii. the effect to $V_{CE}$ if $\beta$ increases [3 marks]
[Circuit diagram labeled "Rajah C5 / Figure C5": NPN transistor common-emitter amplifier with voltage-divider bias topology]
- Top rail labeled +10 V
- Collector connected through a 1 k$\Omega$ resistor to +10 V
- Base connected through a 240 k$\Omega$ resistor to +10 V
- Input signal $v_i$ coupled through a capacitor to the base
- Output signal $v_o$ coupled through a capacitor from the collector
- Emitter connected through a 500 $\Omega$ resistor to ground (ground symbol shown)
- Transistor labeled $\beta = 50$
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Verbatim transcription via Kimi K2.6 vision subagents.