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Question

Two identical capacitors have the same capacitance C. One of them is charged to potential V subscript 1 and the other to V subscript 2. The negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the system is

  1. 1 fourth C open parentheses V subscript 1 superscript 2 minus V subscript 2 superscript 2 close parentheses
  2. 1 fourth C open parentheses V subscript 1 superscript 2 plus V subscript 2 superscript 2 close parentheses
  3. 1 fourth C open parentheses V subscript 1 minus V subscript 2 close parentheses squared
  4. 1 fourth C open parentheses V subscript 1 plus V subscript 2 close parentheses squared

The correct answer is: 1 fourth C open parentheses V subscript 1 minus V subscript 2 close parentheses squared

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