6. Please give me step by step solution for question 16 thank you! After the swi

Question

6. Please give me step by step solution for question 16 thank you!

After the switch has been in position A for a long time and the capacitor is fully charged, at t = 0 it is moved to position B. The current through the capacitor is I= I_0e^-t/RC, where I_0 = 1.2 A, R = 95 Ohm and C = 38 mu F. The capacitor consists of two disks, each 1 cm in diameter and separated by 0.1 cm. What is the total displacement current through the capacitor at t = 0? What is the magnetic field inside the capacitor at a distance 0.25 cm from its center, and at t = 0.6 ms?

Explanation / Answer

15) c) 1.2 A

at t = 0

I = Io*e^(-0/R*C)

= Io

= 1.2 A

16) a) 20 micro T

R*C = 95*38*10^-6 = 3.61 ms

at t = 0.6 ms

I = IO*e^(-0.6/3.61)

= 1.2*e^(-0.6/3.61)

= 1.016 A

Radius, R = d/2 = 1/2 = 0.5 cm = 0.005 m

at point r = 0.25 cm = 0.0025 m

B = mue*I*r/(2*pi*R^2)

= 4*pi*10^-7*1.016*0.0025/(2*pi*0.005^2)

= 2.03*10^-5 T

= 20.3 micro T

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