An insulated copper wire of 100 turns is wound on a wooden core of cross-sectional area 24 cm² and connected to a total circuit resistance of 12 Ω. The axial magnetic field changes from 1.5 T in one direction to 1.5 T in the opposite direction. Find the charge that flows, in mC.
Physics · Electromagnetic Induction · faradays law and question based on it
13 April 2023 Evening Shift

Question

An insulated copper wire of 100 turns is wound on a wooden core of cross-sectional area 24 cm² and connected to a total circuit resistance of 12 Ω. The axial magnetic field changes from 1.5 T in one direction to 1.5 T in the opposite direction. Find the charge that flows, in mC.

Physics · Electromagnetic Induction · faradays law and question based on it

13 April 2023 Evening Shift

G1 Physics · Accepted Answer

The total charge passing through the circuit is Q = ∫I dt Using Faraday's law, I = ε/R and ∫ε dt = NΔΦ Therefore, Q = NΔΦ/R The field changes from +1.5 T to -1.5 T, so |ΔB| = 3.0 T Area: A = 24 cm² = 24 × 10⁻⁴ m² Thus, Q = N A |ΔB| / R = 100 × 24 × 10⁻⁴ × 3 / 12 = 6 × 10⁻² C = 60 mC Final answer: 60.