What amount of heat will be generated in a coil resistance `R` due to a charge `q` passing through it if the current in the coil decreases down to zero uniformly during a time interval `Deltat` ?

Options

A. `(4)/(3)(q^(2)R)/(Deltat)`
B. `(2)/(3)(q^(2)R)/(Deltat)`
C. `(3)/(4)(q^(2)R)/(Deltat)`
D. `(3)/(2)(q^(2)R)/(Deltat)`

Explanation

Suppose initial current is `i_(0)`, then
`i(t)=i_(0)(1-(t)/(Deltat))`
`q=i_(0)int_(0)^(Deltat)(1-(t)/(Deltat))dt`
So, `i_(0)=(2q)/(Deltat)`
`H=int_(0)^(Deltat){(2q)/(Deltat)(1-(t)/(Deltat))}^(2)Rdt`