A 10 micro farad capacitor is charged to 500 V and then its plates are joined together through a resistance of 10 ohm . The heat produced in the resistance is

Question

A 10 micro farad capacitor is charged to 500 V and then its plates are joined together through a resistance of 10 ohm . The heat produced in the resistance is (A) 500 J (B) 250 J (C) 125 J (D) 1.25 J

Tardigrade Admin · Accepted Answer

Energy stored in the capacitor E=(1/2)CV2 =(1/2)×10×10-6× (500)2 =5× 10-6× 25× 104=1.25 J Heat produced in resistance = energy stored =1.25 J

Q. A $10$ micro farad capacitor is charged to $500 V$ and then its plates are joined together through a resistance of $10 o hm$ . The heat produced in the resistance is

500 J

250 J

125 J

1.25 J

Energy stored in the capacitor
$E = \frac{1}{2} C V^{2}$
$= \frac{1}{2} \times 10 \times 1 0^{- 6} \times (500)^{2}$
$= 5 \times 1 0^{- 6} \times 25 \times 1 0^{4} = 1.25 J$
Heat produced in resistance = energy stored
$= 1.25 J$

Q. A 10 micro farad capacitor is charged to 500V and then its plates are joined together through a resistance of 10ohm . The heat produced in the resistance is