# Maxwell Equations Practice Questions

The following physics revision questions are provided in support of the physics tutorial on Maxwell Equations. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the Maxwell Equations tutorials. The Maxwell Equations calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

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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. 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

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)

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

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