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Byju's Answer

Standard XIII

Physics

Inductors in Circuits

In an L-R cir...

Question

In an $L - R$ circuit connected to a battery of constant e.m.f $E$ , switch S is closed at time t = 0. If e denotes the magnitude of induced e.m.f across inductor and i the current in the circuit at any time t. Then which of the following graphs shows the variation of $e$ with $i$ ?

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Solution

The correct option is A
According to the Kirchoff's circuit law
$\frac{L d i}{d t} = E - i R$
$e = E - i R$
$(∵ e = L \frac{d i}{d t})$
Comparing with
$y = - R x + C$
(straight line with - ve slope)

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In an L−R circuit connected to a battery of constant e.m.f E, switch S is closed at time t = 0. If e denotes the magnitude of induced e.m.f across 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 ?

The correct option is A According to the Kirchoff's circuit law Ldidt=E−iR e=E−iR (∵e=Ldidt) Comparing with y=−Rx+C (straight line with - ve slope)

In an $L - R$ circuit connected to a battery of constant e.m.f $E$ , switch S is closed at time t = 0. If e denotes the magnitude of induced e.m.f across inductor and i the current in the circuit at any time t. Then which of the following graphs shows the variation of $e$ with $i$ ?

The correct option is A
According to the Kirchoff's circuit law
$\frac{L d i}{d t} = E - i R$
$e = E - i R$
$(∵ e = L \frac{d i}{d t})$
Comparing with
$y = - R x + C$
(straight line with - ve slope)