Problem 7: A long solenoid with 15 turns / cm has a small loop of area 2.0 cm2 placed inside the solenoid normal to its axis. If the current created by the solenoid changes steady from 2.0 A to 4.0 Amp in 0.1 s. What is the induced emf in the loop when the current is changing.
Solution
Given data Number of turns of the solenoid = n = 15/cm = 1500/m
Area of the loop = A = 2.0 cm2 = 2.0 × (10-2)2 = 2.0 × 10-4 m
Change in current = ∆I = 4.0 – 2.0 = 2.0 A
Time required for the change in the current = 0.1 s
Required data Induced emf = ε =?
Formulae (i) B = μ0nI (ii) Δϕ = Δ(BA) (iii) ϵ = (Δϕ)/Δt
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