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LevelAP Physics C: Electricity & Magnetism
SubjectAP Physics C: Electricity & Magnetism
Year2025 BS
Exam sessionModel questions
Full marks90
Time allowed90 minutes
Questions10, all with step-by-step solutions
A

Multiple Choice

Select the best answer.

10 questions·1 mark each
1Multiple choice1 mark

Spherical shell radius RR, charge +Q+Q. EE at r<Rr<R?

  • a
    00
  • b
    kQ/R2kQ/R^2
  • c
    kQ/r2kQ/r^2
  • d
    kQr/R3kQr/R^3
Correct answer: a
00

Gauss: no enclosed charge inside shell, E=0E=0.

The correct answer is (a) 0.

electrostaticselectric-field
2Multiple choice1 mark

Cube in uniform field E=E0x^\vec{E}=E_0\hat{x}. Total flux?

  • a
    00
  • b
    E0a2E_0 a^2
  • c
    2E0a22E_0 a^2
  • d
    6E0a26E_0 a^2
Correct answer: a
00

No enclosed charge. Φ=0\Phi=0.

The correct answer is (a) 0.

gauss-lawflux
3Multiple choice1 mark

Three +q+q at equilateral triangle vertices (side aa). Potential at center? (vertex-to-center =a/3= a/\sqrt{3})

  • a
    3kq/a3kq/a
  • b
    kq3/akq\sqrt{3}/a
  • c
    kq/akq/a
  • d
    33kq/a3\sqrt{3}kq/a
Correct answer: d
33kq/a3\sqrt{3}kq/a

V=3kq/(a/3)=33kq/aV=3kq/(a/\sqrt{3})=3\sqrt{3}kq/a.

The correct answer is (d).

electric-potentialpoint-charges
4Multiple choice1 mark

Capacitor CC. Dielectric κ=3\kappa=3 inserted. New capacitance?

  • a
    C/3C/3
  • b
    CC
  • c
    3C3C
  • d
    9C9C
Correct answer: c
3C3C

C=κC=3CC'=\kappa C=3C.

The correct answer is (c) 3C3C.

capacitanceparallel-plate
5Multiple choice1 mark

R=10R=10 kΩ\Omega, C=100  μC=100\;\muF. Time constant?

  • a

    0.1 s

  • b

    1 s

  • c

    10 s

  • d

    0.01 s

Correct answer: b

1 s

τ=RC=104×104=1\tau=RC=10^4\times10^{-4}=1 s.

The correct answer is (b) 1 s.

circuitsrc-circuits
6Multiple choice1 mark

BB at distance rr from infinite wire with current II?

  • a
    μ0I/(4πr)\mu_0 I/(4\pi r)
  • b
    μ0I/r\mu_0 I/r
  • c
    μ0I/(2πr)\mu_0 I/(2\pi r)
  • d
    μ0I/(2πr2)\mu_0 I/(2\pi r^2)
Correct answer: c
μ0I/(2πr)\mu_0 I/(2\pi r)

B=μ0I/(2πr)B=\mu_0 I/(2\pi r).

The correct answer is (c).

magnetic-fieldsbiot-savart
7Multiple choice1 mark

Loop radius 0.1 m, BB changes 0.5 to 2.0 T in 0.3 s. EMF?

  • a

    $$0.01\piV V

  • b

    $$0.05\piV V

  • c

    $$0.5\piV V

  • d

    $$0.15\piV V

Correct answer: b

$$0.05\piV V

E=π(0.01)(1.5/0.3)=0.05π|\mathcal{E}|=\pi(0.01)(1.5/0.3)=0.05\pi V.

The correct answer is (b).

electromagnetic-inductionfaraday-law
8Multiple choice1 mark

Conducting sphere with +Q+Q. Where is charge?

  • a

    Uniformly throughout volume

  • b

    At the center

  • c

    On surface and partially in volume

  • d

    Entirely on the outer surface

Correct answer: d

Entirely on the outer surface

Excess charge on conductor in equilibrium resides on outer surface.

The correct answer is (d).

electrostaticsconductors
9Multiple choice1 mark

12 V battery, 4  Ω4\;\Omega and 8  Ω8\;\Omega in series. Voltage across 8  Ω8\;\Omega?

  • a

    4 V

  • b

    6 V

  • c

    8 V

  • d

    12 V

Correct answer: c

8 V

I=12/12=1I=12/12=1 A. V8=8V_8=8 V.

The correct answer is (c) 8 V.

circuitskirchhoff-laws
10Multiple choice1 mark

500 turns, 0.5 m, 2 A. BB inside? (μ0=4π×107\mu_0=4\pi\times10^{-7})

  • a

    2.51×1032.51\times10^{-3} T

  • b

    1.26×1031.26\times10^{-3} T

  • c

    6.28×1046.28\times10^{-4} T

  • d

    5.03×1035.03\times10^{-3} T

Correct answer: a

2.51×1032.51\times10^{-3} T

B=μ0nI=4π×107(1000)(2)2.51×103B=\mu_0 nI=4\pi\times10^{-7}(1000)(2)\approx 2.51\times10^{-3} T.

The correct answer is (a).

magnetic-fieldssolenoid

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