6. A 3.0-µF capacitor (C1 )is connected to a 12-V battery A) Find the energy sto

Question

6. A 3.0-µF capacitor (C1 )is connected to a 12-V battery A) Find the energy stored in the capacitor B) The capacitor is disconnected from the battery, then the space between the plates is filled with a dielectric k=1.5. Find the new value of the energy stored in the capacitor. C) A second capacitor (C=1 µF), that carries no charge, is then connected to the first capacitor as shown below. Find the electric charge and potential difference across each capacitor after the equilibrium is reached. Answer: A)2.16*10-4J; B) 1.44*10-4J; C)Q1=29.45 µC;Q2=6.54 µC;V1=V2=6.54V

Explanation / Answer

A)

U = 1/2 CV^2 = 1/2 * 3* 10^-6 F)( 12V)^2 = 2.14 * 10^-6 J

B)

U =  1/2( kC)(V/k)^2 = 1/2 *( 1.5* 1.53* 10^-6 F))( 12V/1.5)^2 = 1.44 * 10^-6 J

(c)

Need figure for Pat (c)

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