A 15 F air-filled capacitor is charged to a potential of1500V. a) What is the en

Question

A 15 F air-filled capacitor is charged to a potential of1500V. a) What is the energy stored in it? If the voltage source remains connected to the capacitor, butthe air is replaced by a layer of plastic with dielectric constant2.6. b) What is the capacitance of the new capacitor? c) What is the energy stored in the new capacitor? A 15 F air-filled capacitor is charged to a potential of1500V. a) What is the energy stored in it? If the voltage source remains connected to the capacitor, butthe air is replaced by a layer of plastic with dielectric constant2.6. b) What is the capacitance of the new capacitor? c) What is the energy stored in the new capacitor?

Explanation / Answer

energy stored E = ( 1/ 2) C V^ 2                          = 0.5 * 15 * 10 ^ -6 F * ( 1500 Volt)^ 2                          = 16.875 J (b). new capacitance C ' = k C   where k = dielectric constant = 2.6                                       = 2.6 C                                         = 2.6 * 15 uF                                       = 39 uF (c).  the energy stored in the new capacitoris E ' = ( 1/2) C ' V ^ 2                                                                           = 0.5 * 39*10^-6 * 1500^2                                                                           = 43.875 J

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