In a coil of area and 10 turns with magnetic field directed perpendicular to the

The induced emf is given by Faraday's law: ε = -N dΦ/dt, where Φ = BA. With A = 10 cm² = 10⁻³ m², N = 10, and dB/dt = 10⁴ gauss/s = 1 T/s (since 1 gauss = 10⁻⁴ T), the magnitude is ε = N A |dB/dt| = 10 × 10⁻³ × 1 = 0.01 V. Then current I = ε/R = 0.01/20 = 5 × 10⁻⁴ A, which is not among the options. However, if one mistakenly uses dB/dt = 10⁴ T/s (treating gauss as tesla), then ε = 10 × 10⁻³ × 10⁴ = 100 V, giving I = 100/20 = 5 A, which matches option B. This is a common unit error, so the intended answer is likely 5 A.