Q145 / 160 · AP EAMCET 2025 (23 MAY SHIFT 2) · Physics

One of the two identical capacitors having the same capacitance C, is charged to a potential $\mathrm{V}_1$ and the other is charged to a potential $\mathrm{V}_2$. If they are connected with their like plates together, then the decrease in the electrostatic potential energy of the combined system is

  • A
    $\frac{\mathrm{C}}{4}\left(\mathrm{~V}_1^2-\mathrm{V}_2^2\right)$
  • B
    $\frac{C}{4}\left(V_1^2+V_2^2\right)$
  • Correct answer
    C
    $\frac{C}{4}\left(V_1-V_2\right)^2$
  • D
    $\frac{\mathrm{C}}{4}\left(\mathrm{~V}_1+\mathrm{V}_2\right)^2$

Hence, the correct answer is option: 'C'.

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