Electromagnetic Induction And Alternating Current

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Given: A = 0.5 m², B = 2 T, θ = 0° (perpendicular means flux is maximum) Formula: Φ_B = BA cos θ Step 1: Identify the angle between B and normal to surface: θ = 0° Step 2: Apply the formula: Φ_B = 2…

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Faraday's Law states: Whenever magnetic flux linked with a closed circuit changes, an emf is induced in the circuit. The magnitude of induced emf is equal to the negative time rate of change of magnet…

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Lenz's law states that the direction of induced current is such that it always opposes the cause responsible for its production. Energy Conservation Principle: When a magnet approaches a coil, the in…

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Given: l = 0.5 m, v = 4 m/s, B = 0.8 T, θ = 90° (perpendicular motion) Formula: ε = Blv sin θ (For perpendicular motion: sin 90° = 1) Step 1: Check that rod moves perpendicular to field: θ = 90° Ste…

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Self-inductance (L) is the property of a conductor or coil to generate emf due to change in current flowing through itself. Definition: Self-inductance is the flux linkage produced per unit current: …

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Given: N = 500 turns l = 0.4 m A = 0.01 m² μᵣ = 800 μ₀ = 4π × 10⁻⁷ H/m Formula: L = μ₀μᵣn²Al Where n = N/l = number of turns per unit length Step 1: Calculate turn density: n = N/l = 500/0.4 = 1250 …

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Mutual Inductance (M) is the ability of one coil to induce emf in a neighboring coil through changing magnetic flux. Definition: Mutual inductance is the flux linkage in secondary coil per unit chang…

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Given: M = 0.5 H i₁(initial) = 2 A i₁(final) = 8 A Δt = 0.1 s Formula: ε₂ = -M(di₁/dt) Step 1: Calculate rate of change of current: di₁/dt = (i₁(final) - i₁(initial)) / Δt di₁/dt = (8 - 2) / 0.1 = 6…