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Two capacitors, having equal capacitance...

Two capacitors, having equal capacitance C, are having same charges q on each plate. They are connected across a resistor R as shown in the figure. What is the total heat generated in the resistor upto the instant when the steady state has reached

A

`q^(2)//2C`

B

`q^(2)//C`

C

zero

D

none of the above

Text Solution

Verified by Experts

Let after steady state the charges on the capacitor be `q_(1) and q_(2)`
`q_(1)=  CV, q_(2) = CV` where v is the potential difference between the plates. Also from charge conservation
`q_(1) +q_(2) = 0`
implies` V = 0`
Thus, final energy stored in the capacitors`(1)/(2)CV^(2)+(1)/(2)CV^(2)=0`
Initial energy stored =`(q^(2))/(2C)+q^(2)/(2C)=(q^(2))/(C)`
Thus, heat developed in the resistor = `q^(2)//C`
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