parallel plate capacitor like the one discussed in classhas area A , separation

Question

parallel plate capacitor like the one discussed in classhas area A, separation distance d, and a currenti. The system starts at t=0 with a total charge ofzero in the capacitor

a) What is the amount of charge in the capacitor as a functionof time for t>0?

b) What is the electric field in the capacitor as a function oftime for t>0?

c) What is the total electric flux in the capacitor as afunction of time for t>0?

d) What is the induced magnetic field outside the capacitor as afunction of distance, r, from the center?

Explanation / Answer

a)charge for t > 0 q = i * t b)E = (1/4o) * (q/d^2) =(1/4o) * (i * t/d^2) (1/4o) = 9 * 10^9 Nm^2/C^2 c)total electric flux E= E * A d)induced magnetic field B = (oi/2d) o= 4 * 10^-7 N/A^2

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