A capacitor is charged so that it has a stored potential energy U and then connected in series with an identical, uncharged capacitor and a resistance. Until the current in the circuit becomes negligible, the total heat wasted in the resistance is H. The ratio `(H)/(U)` is______.

Answer

0.5

Explanation

Let the capacitance of each capacitor C, Let the initial charge on the charged capacitor be Q
So, `U=(Q^(2))/(2C)`
When the final steady state is achieved, both capacitors have charge Q/2. so, potential energy stored in any one
capacitor, `U'=(((Q)/(2))^(2))/(2C)=(Q^(2))/(8C)`, so, heat washed in the resistance, `H=U-2U'=(Q^(2))/(4C)`