ta The Expert TAIHuman-lik... X C Chegg Study I Guided Solu x c Chegg Study I Gu

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ta The Expert TAIHuman-lik... X C Chegg Study I Guided Solu x c Chegg Study I Guided Solu x C Home Chegg.com x Search pertt Home Student: cmcbri14@uncc.edu My Account Log Out Class Management I Help Topical Test 2 Circuits Begin Date: 3/18/2016 12:00:00 AM Due Date: 3/18/2016 11:59:00 PM End Date: 3/18/2016 11:59:00 PM 1: Th ftw ducting ph 25%) Prob 0.15 and b 0.21 m Assignment Status Click here for detailed view com A 25% Part (a Express the capacitance of two concentric spheres interms of radii a and b and the Coulomb constant k. Problem Status Grade Summary Deductions Potential 100% 7 8 9 AV Submissions Attempts remaining: 4 5 6 per attempt) 4% 1 2 3 detailed view m Hint Feedback Submit I give up! Hints Feedback: A 25% Part (b) Calculate the numerical value of the capacitance in F A 25% Part Express the capacitance C through the potential difference AV across the capacitor and charge o A 25% Part (d) f the charge ph ter sphere -Q -3 uC diffe AV tric potent between the outside and the inside conductors in All content 2016 Expert TA LLC

Explanation / Answer

Here,

inner sphere radii, a = 0.15 m
outer sphere radii, b = 0.21 m

Charge on inner Sphere, Q1 = 3 uC = 3*10^-6 C
Charge on Outer Sphere, Q2 = -3 uC = -3*10^-6 C

Part A:
Capacitance of Concentric spheres is given as:

C = K*4*pi*eo*(1/a - 1/b)

Where, K = dielectric constant
eo = permtivity of free space

Part B:
C = 1*4*pi*8.85*10^-12*(1/0.15- 1/0.21)
C = 2.1183*10^-10 F

Part C:
Capacitance, C = Q/del(V)

Part D:
Del(V) = K*Q1/a - K*Q2/b
Del(V) = 9*10^9(3*10^-6/0.15 + 3*10^-6/0.21 )
Del(V) = 308571.4286 V

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