Answer:
M = 1.25×10⁻³ H.
Explanation:
Mutual Inductance: This is the inductance that is setup between two coils with their flux having a linkage. The S.I unit of mutual inductance is Henry (H)
Using,
E₂ = Mdi₁/dt................. Equation 1
Where E₂ = emf in the second coil, M = Mutual inductance, di₁/dt = rate of current increase in coil 1.
Given: E₂ = 30 mV = (30/1000) V = 0.03 V, di₁/dt = 24 A/s.
Substitute into equation 1
0.03 = 24(M)
M = 0.03/24
M = 1.25×10⁻³ H.
Hence the mutual inductance, M = 1.25×10⁻³ H.