I need help with the question listed above. The answer is included. I need help

Question

I need help with the question listed above. The answer is included. I need help solving the problem so I can get the correct answer. Please show a detailed explanation. I need help with the question listed above. The answer is included. I need help solving the problem so I can get the correct answer. Please show a detailed explanation. I need help with the question listed above. The answer is included. I need help solving the problem so I can get the correct answer. Please show a detailed explanation.

Explanation / Answer

Given that the energy stored in the first capacitor is U1 = 4J For parallel combination net capacitance is C = C1 + C2 For parallel combination voltage is constant. So (Q/V) = (Q1/V) + (Q2 /V) Q = Q1 + Q2 Since two capacitors maintained same potentials Q1 = Q2 = Q /2 The total energy stored is U = (Q1)^2/ 2C1 + (Q2)^2/ 2C2 U = (Q/2)^2/ 2C + (Q/2)^2/ 2C U = (1/8C) [ 2Q^2 ] U = (1/4C) [ Q^2 ] = (1/2)(Q^2 / 2C) = (1/2)U1 = 2 J

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