Maxwell Equations Practice Questions

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16.18Maxwell Equations

Maxwell Equations Revision Questions

1) A circular-plate capacitor of plate radius R is being charged as shown in the figure below.

Physics Tutorials: This image provides visual information for the physics tutorial Maxwell Equations

What is the magnitude of magnetic field at 4 cm from the centre of plates if the diameter of each plate is 10 cm and dE/dt = 5 × 1012,/sup> V/(m·s).

Take ε0 = 8.85 × 1012 C2/(N·m2) and μ0 = 4π × 10-7 N/A2.

  1. 2.22 μT
  2. 1.11 μT
  3. 5.55 μT
  4. 1.33 μT

Correct Answer: B

2) A parallel-plate capacitor of circular plates is being charged at constant current. The capacitor plates are circular and the radius of each plate is 2 cm. What is the rate of electric field change between the plates if the maximum magnetic field produced during this process is Bmax = 8 μT?

Take ε0 = 8.85 × 10-12 C2/(N·m2) and μ0 = 4π × 10-7 N/A2.

  1. 7.2 × 1013 V/(m·s)
  2. 7.2 × 1012 V/(m·s)
  3. 8 × 1015 V/(m·s)
  4. 8 × 1012 V/(m·s)

Correct Answer: A

3) A parallel plate capacitor of circular plates the area of which is 30 mm2 each, is being charged by a constant current I = 2 A. What is the magnetic field induced at 5 mm from the centre of plates?

Take μ0 = 4π × 10-7 N/A2.

  1. 8 × 10-4 T
  2. 7.2 × 10-4 T
  3. 2 × 10-4 T
  4. 4 × 10-4 T

Correct Answer: D

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