A long solenoid has 20 turns per cm. A small loop of area 4 π cm 2 is placed inside the solenoid normal to its axis. If the current carried by the solenoid changes steadily from 1 . 0 A to 3 . 0 A in 0 . 2 s , what is the magnitude of the induced emf in the loop while the current is changing?

Question

A long solenoid has 20 turns per cm. A small loop of area 4 π cm 2 is placed inside the solenoid normal to its axis. If the current carried by the solenoid changes steadily from 1 . 0 A to 3 . 0 A in 0 . 2 s , what is the magnitude of the induced emf in the loop while the current is changing?, 2 . 4 μV, 3 . 2 μV, 7 . 2 μV, 4 . 8 μV

MARKS App · Accepted Answer

Magnetic field due to solenoid along its axis, B = μ 0 n I = 4 π × 10 - 7 20 × 10 2 I = 8 π × 10 - 4 I T Now induced EMF due to change in magnetic flux can be written as, ε = ∆ ϕ ∆ t = B 2 A - B 1 A 0 . 2 = 5 A 8 π × 10 - 4 3 - 1 = 5 × 4 π × 10 - 4 16 π × 10 - 4 = 3 . 2 μV

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