One Question PLZ be Specific Thank you Calculate the amount by which the electro

Question

One Question

PLZ be Specific

Thank you

Calculate the amount by which the electrostatic energy stored in the capacitors decreases when they are reconnected in this way. Express your answer using two significant figures. Two capacitors, C_1 = 9.7 mu F and C_2 = 4.0 mu F , are connected in parallel across a battery that establishes a potential difference 26 V . The capacitors are then disconnected from the battery and from each other, but remain charged. Then the capacitors are reconnected to each other with plates of opposite sign together.

Explanation / Answer

C = C1 + C2 = 9.7 + 4 = 13.7 uF

E1 = 0.5*C*v^2 = 0.5*13.7*10^-6*26^2 = 0.0046306 J

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after reconnecting

C' = (c1+C2)/(C1+C2) = (9.7*4)/(9.7+4) = 2.83 uF

Q' = C1*V - C2*V = (9.7-4)*26 = 148.2 uC

E2 = 0.5*Q'^2/C = (0.5*(148.2*10^-6)^2)/(2.83*10^-6) = 0.00388 J

E1 - E2 = 0.0046306 - 0.00388 = 0.0007506 J

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