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  4. A battery of e.m.f. E is connected with series L-R circuit as shown in circuit. At t=0 switch S is closed, If e denotes the induced e.m.f. across the inductor and i the current in the circuit at any time t , then which of the following graphs shows the variation of e with i ? <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-lrrr0vfc9hlnnuwh.jpg />

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Q. A battery of e.m.f. $E$ is connected with series $L-R$ circuit as shown in circuit. At $t=0$ switch $S$ is closed, If $e$ denotes the induced e.m.f. across the inductor and $i$ the current in the circuit at any time $t$ , then which of the following graphs shows the variation of $e$ with $i$ ?
Question

NTA AbhyasNTA Abhyas 2020

Solution:

The potential difference across the inductor is $e=E-iR$
Hence the plot of e versus i is a straight line with negative slope.
Solution