Question

Two colis, `1` and `2` have a mutual inductance `M = 5H` and resistance `R = 10 Omega` each. A current flows in coil 1, which varies with time as: `I_(1) = 2t^(2)`, where `t` is time. Find the total charge (in `C`) that has flows through coil `2` between `t = 0` and `t = 2 s`.

Answer 1

Correct Answer - `(4)`
`e = M(dI)/(dt) = M4t = 20t`
`I = (e)/(R ) = (20t)/(10) = 2t`, `q = int Idt = underset(0) overset(2)int 2tdt = 4 C`