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A parallel-plate air-filled capacitor is being charged as in the figure (Figure 1) . The circular plates have radius 4.06cm , and at a particular instant, the conduction current in the wires is 0.273A

What is the displacement current density jD in the air space between the plates? A/m^2

What is the rate at which the electric field between the plates is changing? V/ m*s

What is the induced magnetic field between the plates at a distance of 1.94cm from the axis? T

What is the induced magnetic field between the plates at a distance of 1.01cm from the axis? T

A parallel-plate air-filled capacitor is being charged as in the figure (Figure 1) . The circular plates have radius 4.06cm , and at a particular instant, the conduction current in the wires is 0.273A What is the displacement current density jD in the air space between the plates? A/m^2 What is the rate at which the electric field between the plates is changing? V/ m*s What is the induced magnetic field between the plates at a distance of 1.94cm from the axis? T What is the induced magnetic field between the plates at a distance of 1.01cm from the axis? T

Explanation / Answer

a) jD = ic / pie R^2 = 0.273 / 3.1415*0.0406 = 52.72 A / m^2

b) dE/dt = jD /E0 = 52.72 / 8.85*10^-12 = 5.95 *10^12 N / cs

c) B = mue0 /2*pie * r /R^2 *ic = 2*10^-7 * 0.0194*0.273 / 0.0406 = 6.43*10^-7 T

d) B = 2*10^-7*0.0101 *0.273 / 0.0406^2 = 3.345*10^-7 T

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