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A). A parallel plate capacitor is connected with a 1,964 volt battery and each p

ID: 1513017 • Letter: A

Question

A). A parallel plate capacitor is connected with a 1,964 volt battery and each plate contains 4,920 micro Coulomb charge. How much energy is stored in the capacitor?
B). A certain capacitor stores 45 J of energy when it holds 2,947 uC of charge. What is the capacitance in nF?
A). A parallel plate capacitor is connected with a 1,964 volt battery and each plate contains 4,920 micro Coulomb charge. How much energy is stored in the capacitor?
B). A certain capacitor stores 45 J of energy when it holds 2,947 uC of charge. What is the capacitance in nF?
A parallel plate capacitor is connected with a 1,964 volt battery and each plate contains 4,920 micro Coulomb charge. How much energy is stored in the capacitor?
B). A certain capacitor stores 45 J of energy when it holds 2,947 uC of charge. What is the capacitance in nF?

B). A certain capacitor stores 45 J of energy when it holds 2,947 uC of charge. What is the capacitance in nF?

Explanation / Answer

(A)

Energy stored in the capacitor:

E = 1/2 Q V

   = 0.5 * 4920 x 10^-6 * 1964

   = 4.83 J (rounded to 3 SF )

(B)

Energy stored, E = Q^2 / 2C

Capacitance:

C = Q^2 / 2E

   = (2947 x 10^-6 ) ^2 / ( 2 * 45 )

   = 9.65 x 10^-8 F

  = 96.5 nF

= 97 nF (rounded to 2 SF )

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