Problem 31.6 Part B Suppose an air-gap capacitor has circular plates of radius R

Question

Problem 31.6 Part B Suppose an air-gap capacitor has circular plates of radius R = 2.5 cm and separation d = 1.8 mm . A 76.5 Hz emf, E = E0 cos(wt), is applied to the capacitor. The maximum displacement current is 39. Determine the value of 0 Express your answer to two significant figures and include the appropriate units S-2.64 10 V Submit My Answers Give Up Incorrect; Try Again; 4 attempts remaining Part C Determine the maximum value of d E/dt between the plates. Neglect fringing Express your answer using two significant figures V m/s Submit My Answers Give Up rovide Feedba Continue

Explanation / Answer

part b

= 2f = 4.7728 x 102 rad/s

I = dQ/dt

I = C*(dV/dt)

I = C**E0*sint

Imax = CE0,

C = (0A)/d

E0 = Imax/(C)

E0 = (Imax*d)/(0A)

E0 = (39 x 10-6*0.0018)/( 4.7728 x 102*8.854 x 10-12­*0.0019625)

E0= 8.464 x 103 V

part c:

the maximum value of dE/dt between plates

ID = 0(dE/dt)

(dE/dt)max = Imax/0

(dE/dt)max = 39 x 10-6 / (8.854 x 10-12)

(dE/dt)max = 4.4 x 106 V- m/s.

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