A 10 μ F capacitor has been charged to a potential of 100 V. Suddenly if it explodes, the energy given out is`

Question

A 10 μ F capacitor has been charged to a potential of 100 V. Suddenly if it explodes, the energy given out is` (A) 50 J  (B) 105 J (C)  50 mJ (D) 103 J

Tardigrade Admin · Accepted Answer

Here, C = 10 μ F = 10 × 10-3 F , V = 100 V The electrostatic energy stored in the capacitor is U = (1/2) CV2 = (1/2) ×10× 10-3 × (100)2 = 50 J Thus, the energy given out is 50 J

Q. A $10 μ F$ capacitor has been charged to a potential of $100 V$ . Suddenly if it explodes, the energy given out is`

$50 J$

$1 0^{5} J$

$50 m J$

$1 0^{3} J$

Here,
$C = 10 μ F = 10 \times 1 0^{- 3} F, V = 100 V$
The electrostatic energy stored in the capacitor is
$U = \frac{1}{2} C V^{2} = \frac{1}{2} \times 10 \times 1 0^{- 3} \times (100)^{2} = 50 J$
Thus, the energy given out is $50 J$

Q. A 10μF capacitor has been charged to a potential of 100V. Suddenly if it explodes, the energy given out is`

50J

105J

50mJ

103J