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Standard XII

Physics

Inductors in Circuits

An inductor i...

Question

An inductor is connected to a battery through a switch. The emf induced in the inductor is much larger when the switch is opened as compared to the emf induced when the switch is closed. Is this statement true or false?

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Solution

When switch is opened current suddenly decreasing from steady state value to zero. When switch is closed it takes time to increase from $0$ to steady state value.
$e = ∣ ∣ ∣ L . \frac{Δ i}{Δ t} ∣ ∣ ∣$
$Δ t$ is second case in large. Hence induced emf is less.

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An inductor is connected to a battery through a switch. The emf induced in the inductor is much larger when the switch is opened as compared to the emf induced when the switch is closed. Is this statement true or false?

When switch is opened current suddenly decreasing from steady state value to zero. When switch is closed it takes time to increase from 0 to steady state value.e=∣∣∣L.ΔiΔt∣∣∣Δt is second case in large. Hence induced emf is less.

When switch is opened current suddenly decreasing from steady state value to zero. When switch is closed it takes time to increase from $0$ to steady state value.
$e = ∣ ∣ ∣ L . \frac{Δ i}{Δ t} ∣ ∣ ∣$
$Δ t$ is second case in large. Hence induced emf is less.