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In Fig, the mutual inductance of a coil ...

In Fig, the mutual inductance of a coil and a very long straight wire is `M`, coil has resistance `R` and self-inductance `L`. The current in the wire varies according to the law `I = at`, where `a` is a constant and `t` is the time, the time dependence of current in the coil is

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`(Ma)/(R )(1-e^(-tR//L))`
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