A capacitor consisting of two concentric spheres of radius R1 and R2 2.00 R1 has

Question

A capacitor consisting of two concentric spheres of radius R1 and R2 2.00 R1 has a capacitance of C4.00 picoFarads and is charged to a potential difference of 74.0 Volts. Calculate the energy stored in the capacitor. Sbont Ansaer Tries 0/12 Calculate the charge on this capacitor, when the electrical energy stored is 20.4-10 Joules. Sebmit Ansees Tries 0/12 If the radius of the outer sphere is increased by a factor of 4.50 while keeping the charge on the plates constant, by what factor does the stored energy chanqe? Siet Anae Tries 0/12 Post Discussion Send Feedback

Explanation / Answer

C = capacitance = 4 x 10-12 F

V = Voltage = 74 volts

energy stored is given as

U = (0.5) CV2 = (0.5) (4 x 10-12) (74)2 = 1.1 x 10-8 J

U' = 20.4 x 10-8

Q2/(2C) =  20.4 x 10-8

Q2/(2 (4 x 10-12)) =  20.4 x 10-8

Q = 1.3 x 10-9 C

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