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Induced e.m.f. in the loop is given by e = -B dA/dt = -B π 2r dr/dt. r = 2 cm = 2 × 10⁻² m, dr = 2 mm = 2 × 10⁻³ m, dt = 1 s.
- e = 0.32 × π × 10⁻⁵ V = 3.2 × π μV
- e = 0.32 × π × 10⁻⁶ V = 3.2 × π μV
- e = 0.32 × π × 10⁻⁷ V = 3.2 × π μV
- e = 0.32 × π × 10⁻⁸ V = 3.2 × π μV
Correct answer: e = 0.32 × π × 10⁻⁶ V = 3.2 × π μV
Solution
The induced e.m.f. is calculated using the formula e = -B dA/dt = -B π 2r dr/dt. Substituting r = 2 × 10⁻² m, dr = 2 × 10⁻³ m, and dt = 1 s, we get e = π × 2 × (2 × 10⁻²) × (2 × 10⁻³) = 0.32 × π × 10⁻⁶ V = 3.2 × π μV.
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