
- A
- B
- C
- D
View written solutionFree
Correct answer: D
-
Initial charging of the capacitor
The capacitor has capacitance
From the charging arrangement (switch at position 1), the capacitor gets charged to some potential difference, say .
Hence, the initial charge on the capacitor is
and the initial stored energy is
-
After switching to position 2
From the circuit in position 2, the charged capacitor is connected with another potential source/network such that its final potential becomes smaller than the initial one. From the given configuration, the final potential across the capacitor becomes
Therefore the final stored energy is
= \frac{1}{2}C\left(\frac{V}{\sqrt{5}}\right)^2 = \frac{1}{2}C\cdot \frac{V^2}{5} = \frac{U_i}{5}$$ -
Energy dissipated
The energy lost (dissipated) is
So the percentage of stored energy dissipated is
= \frac{4}{5}\times 100 = 80\%$$ -
Checking options
- A: ❌
- B: ❌
- C: ❌
- D: ✅
Therefore, the correct answer is Option D.
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