A 2 μC charge in a 3 kN/C electric field feels what force magnitude?
A 1.5 mN
B 6 mN
C 3 mN
D 9 mN
Answer: B. 6 mN. F=qE=(2×10⁻⁶)(3000)=0.006 N or 6 mN.
For parallel plates with unchanged separation and dielectric, doubling area does what to C?
A Halves it
B Leaves it unchanged
C Makes it zero
D Doubles it
Answer: D. Doubles it. Parallel-plate capacitance is proportional to plate area.
If plate separation doubles while area and dielectric stay fixed, capacitance becomes what?
A Double
B Half
C Four times
D Unchanged
Answer: B. Half. C=εA/d is inversely proportional to separation.
A 2 μF capacitor at 10 V stores how much charge?
A 0.2 μC
B 5 μC
C 20 μC
D 200 μC
Answer: C. 20 μC. Q=CV=2 μF×10 V=20 μC.
How much energy does a 2 μF capacitor store at 10 V?
A 10 μJ
B 20 μJ
C 100 μJ
D 200 μJ
Answer: C. 100 μJ. Energy is ½CV²=½×2 μF×100=100 μJ.
Two 4 μF capacitors in parallel have what equivalent capacitance?
A 2 μF
B 8 μF
C 4 μF
D 16 μF
Answer: B. 8 μF. Parallel capacitances add directly.
A uniform 100 N/C field crosses a 0.02 m² surface normally. Find electric flux.
A 2 N·m²/C
B 0.5 N·m²/C
C 5 N·m²/C
D 100 N·m²/C
Answer: A. 2 N·m²/C. Flux is EA cos 0°=100×0.02=2 N·m²/C.
No net charge lies inside a closed Gaussian surface. What is its net electric flux?
A Zero
B Always positive
C Always negative
D Infinite
Answer: A. Zero. Gauss’s law gives total flux Qenclosed/ε0, which is zero.
Along a uniform 200 V/m field, points 0.5 m apart have what potential-difference magnitude?
A 50 V
B 200 V
C 400 V
D 100 V
Answer: D. 100 V. The magnitude is Ed=200×0.5=100 V.
For a solid conductor with no cavity in electrostatic equilibrium, where does excess charge reside?
A Uniformly in its bulk
B Only at its centre
C In the vacuum
D On its surface
Answer: D. On its surface. Excess free charge moves to the conductor’s surface in electrostatic equilibrium.
For velocity parallel to B, what magnetic force acts on a point charge?
A Maximum
B Zero
C qvB
D qB/v
Answer: B. Zero. The cross product v×B vanishes when v and B are parallel.
A 1 C charge moves at 2 m/s perpendicular to a 3 T field. Find magnetic force.
A 1.5 N
B 2 N
C 6 N
D 3 N
Answer: C. 6 N. F=qvB sin90°=1×2×3=6 N.
A 1 m wire carries 2 A at right angles to a 0.5 T field. Find its force.
A 0.25 N
B 2 N
C 1 N
D 4 N
Answer: C. 1 N. F=BIL sin90°=0.5×2×1=1 N.
At twice the radial distance from a long straight wire, magnetic field magnitude becomes what?
A Double
B Half
C One quarter
D Unchanged
Answer: B. Half. For a long straight wire, B is proportional to 1/r.
A 2 T field crosses 0.5 m² normally. What magnetic flux results?
A 1 Wb
B 0.25 Wb
C 2 Wb
D 4 Wb
Answer: A. 1 Wb. Flux is BA=2×0.5=1 weber.
Flux through one loop changes by 0.02 Wb in 0.01 s. Find average emf magnitude.
A 0.2 V
B 1 V
C 2 V
D 20 V
Answer: C. 2 V. Faraday’s law gives |emf|=|ΔΦ|/Δt=0.02/0.01=2 V.
Ten identical turns each experience a 0.01 Wb flux change in 0.1 s. What average emf results?
A 0.1 V
B 10 V
C 100 V
D 1 V
Answer: D. 1 V. The magnitude is NΔΦ/Δt=10×0.01/0.1=1 V.
An inductor of 2 H carrying 3 A stores how much magnetic energy?
A 9 J
B 3 J
C 6 J
D 18 J
Answer: A. 9 J. Energy is ½LI²=½×2×9=9 J.
Relative permeability is the ratio of material permeability to what?
A Vacuum permittivity
B Flux density
C Coil area
D Vacuum permeability
Answer: D. Vacuum permeability. μr=μ/μ0 is dimensionless.
For a long ideal solenoid, doubling turns per metre at fixed current does what to B?
A Halves it
B Leaves it unchanged
C Makes it zero
D Doubles it
Answer: D. Doubles it. Inside a long ideal solenoid, B≈μnI.
A 100 MHz wave in vacuum has approximately what wavelength?
A 3 m
B 0.3 m
C 30 m
D 300 m
Answer: A. 3 m. λ=c/f≈3×10⁸/10⁸=3 m.
For a vacuum plane wave, E=300 V/m and B=1 μT. What does E/B equal?
A 3×10⁸ m/s
B 3×10⁵ m/s
C 300 m/s
D 3 m/s
Answer: A. 3×10⁸ m/s. The ratio E/B equals vacuum wave speed c.
What SI unit measures Poynting-vector magnitude?
A W/m²
B Wb/m²
C A/m
D V·s
Answer: A. W/m². Poynting vector represents electromagnetic power flow per unit area.
Electric polarization P describes dipole moment per unit what?
A Time
B Volume
C Charge
D Length
Answer: B. Volume. Polarization is electric dipole moment density.
Which changing field contributes to magnetic circulation in the Ampère–Maxwell law?
A Static potential only
B Constant resistance
C Electric displacement
D Mechanical strain
Answer: C. Electric displacement. The displacement-current term is the time derivative of D.