Physics-
General
Easy

Question

Two capacitors of equal capacitance open parentheses C subscript 1 end subscript equals C subscript 2 end subscript close parentheses are shown in the figure. Initially, while the switch S is open, one of the capacitors is uncharged and the other carries charge Q subscript 0 end subscript. The energy stored in the charged capacitor is U subscript 0 end subscript. Sometimes after the switch is closed, the capacitors C subscript 1 end subscript and C subscript 2 end subscript carry charges Q subscript 1 end subscript and Q subscript 2 end subscript, respectively; the voltages across the capacitors are V subscript 1 end subscript and V subscript 2 end subscript semicolon and the energies stored in the capacitors are U subscript 1 end subscript and U subscript 2 end subscript. Which of the following statements is INCORRECT ? The figure shows a diagonal symmetric arrangement of capacitors and a battery

  1. Q subscript 0 end subscript equals fraction numerator 1 over denominator 2 end fraction open parentheses Q subscript 1 end subscript plus Q subscript 2 end subscript close parentheses    
  2. Q subscript 1 end subscript equals Q subscript 2 end subscript    
  3. V subscript 1 end subscript equals V subscript 2 end subscript    
  4. U subscript 0 end subscript equals U subscript 1 end subscript superscript 2 end superscript plus U subscript 2 end subscript    

The correct answer is: U subscript 0 end subscript equals U subscript 1 end subscript superscript 2 end superscript plus U subscript 2 end subscript

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