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AP EAMCET · PHYSICS · Capacitance

Two identical capacitors A and B are connected as shown in the circuit. Initially the switch 'S' is closed. Now the switch is opened and the free space between the plates of the capacitors is filled with a dielectric of dielectric constant 3. The ratio of total electrostatic energy stored in the capacitors before and after introduction of the dielectric is

  1. A \(3: 1\)
  2. B \(5: 1\)
  3. C \(3: 5\)
  4. D \(5: 3\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(3: 5\)

Step-by-step Solution

Detailed explanation

Let the capacitance of each capacitor be \(\mathrm{C}\). Total electrostatic energy stared in capacitor \[ \begin{aligned} \mathrm{U}_1 & =\frac{1}{2} \mathrm{CE}^2+\frac{1}{2} \mathrm{CE}^2 \\ \mathrm{U}_1 & =\mathrm{CE}^2 \end{aligned} \] Now dielectric intorduces after pening…