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A capacitor consistingof two concentric spheres of radius R 1 and R 2 = 2.50·R 1

ID: 1679842 • Letter: A

Question

A capacitor consistingof two concentric spheres of radius R1 and R2= 2.50·R1 has a capacitance of C = 6.00picoFarads and is charged to a potential difference of 82.0 Volts.Calculate the energy stored in the capacitor.

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Calculate the chargeon this capacitor, when the electrical energy stored is27.9·10-8 Joules.

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If the radius of theouter sphere is increased by a factor of 4.50 while keeping thecharge on the plates constant, by what factor does the storedenergy change?
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Explanation / Answer

Capacitance C = 6 * 10 ^ -12 F

Potential difference V = 82 V

Energy stored in the capacitor E = ( 1/ 2) C V^ 2

                                                    = 2.0172*10^-8 J

(b). electrical energy U = 27.9* 10 ^ -8 J

Capacitance C = 6 * 10 ^ -12 F

We know U = Q ^ 2/ 2C