Question

(l ic lC P" Ic -9

In the figure (Figure 1) the capacitor plates have area 31.00 cm2 and are separated by a distance of 2.00 mm (the figure is not drawn to scale). The plates are in vacuum. A sinusoidal potential difference with a maximum value of 740 V and a frequency of 60 Hz is applied across the plates; that isV(t)=( 740 V )sin[2?(60Hz)t]. The current iC(t) which charges or discharges the capacitor is also sinusoidal. In the figure, the current is shown at an instant in time at which the current is left to right and decreasing as the capacitor is being charged; however, half a cycle later (1/120 of a second later) the current will have the same absolute value but will be in the opposite direction.

Part A

Calculate the maximum amount of charge separated by the plates at any time during the sinusoidal cycle.

Give your answer in nC.

Part B

Calculate the maximum electric field strength between the plates at any time during the sinusoidal cycle.

Part C

Calculate the maximum value of the time rate of change of the voltage between the plates at any time during the sinusoidal cycle.

Part D

Calculate the maximum value of the time rate of change of the electric field between the plates at any time during the sinusoidal cycle.

Part E

Calculate the maximum rate of change of electric flux through the circular region defined by the circle passing through the points a and b in the figure at any time during the sinusoidal cycle. Assume that the radius r is 50.0 % of the radius R.

Part G

Calculate the maximum magnetic field strength at point a at any time during the sinusoidal cycle.

Give your answer in pT.

Part H

Calculate the maximum magnetic field strength at the point which is a distance R from the centerline of the capacitor, and which is directly above point a, at any time during the sinusoidal cycle.

Give your answer in pT.

Part I

Calculate the maximum magnetic field strength at the point which is a distance 1.8 times R from the centerline of the capacitor, and which is directly above point a, at any time during the sinusoidal cycle.

Give your answer in pT.

Answer 1