Practice question

Given: A solenoid of 250 turns and length 0.8 m induces an emf of 0.75 V in a nearby coil when its current changes from 0 to 2.5 A in 0.25 s. What is the mutual inductance? These values define the system as per NCERT data. Formula: varepsilon = M Δ I/Δ t. This is standard NCERT relation. Substitution & Calculation: Δ I = 2.5 - 0 = 2.5 A, Δ t = 0.25 s . M = fracvarepsilonΔ I/Δ t = frac0.752.5/0.25 = 0.75/10 = 0.075 H . Result: The computed value matches expected outcome and confirms correct choice as per NCERT.