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#flux change

3 public questions tagged with this topic.

A coil of 80 turns is placed in a magnetic field that increases from 0 to 0.03 Wb/m² in 0.2 s. If the coil area is 0.05

**Energy in inductor** cannot change instantaneously because that would require infinite power, current through inductor continuous, voltage may jump, principle used in chokes, inductive kick, back emf, explaining why inductor opposes change in current. Flux change: Δ Φ = B A = 0.03 × 0.05 = 0.0015 Wb . ε = N (Δ Φ/Δ t) = 80 × (0.0015/0.2) = 80 × 0.0075 = 0.6 V . Using Φ = B A cosθ, e = -N dΦ/dt = -N A dB/dt = B l v = N B A ω sinωt, L = μ₀ N²A/l, M = e/(dI/dt) and U = ½ L I², result

Ref: NCERT > Physics Book > Electromagnetic Induction > Energy Stored in Inductor and Magnetic Energy

A coil of 130 turns experiences a magnetic flux change from 0 to 0.06 Wb in 0.12 s. What is the induced emf?

**Field decreasing to zero** induces emf trying to maintain field, current direction such that its field adds to original. For 150 turns area 0.06 m² B 0.14 T to zero in 0.3 s, e=150×0.06×0.14/0.3=4.2 V, as earlier, showing linear dependence on N, A, ΔB/Δt. ε = N (Δ Φ/Δ t) . Δ Φ = 0.06 Wb , Δ t = 0.12 s , N = 130 . ε = 130 × (0.06/0.12) = 130 × 0.5 = 65 V . Using Φ = B A cosθ, e = -N dΦ/dt = -N A dB/dt = B l v = N B A ω sinωt, L

Ref: NCERT > Physics Book > Electromagnetic Induction > Induced EMF Due to Change in Magnetic Field

A coil is rotated in a magnetic field such that the flux through it changes from maximum to zero. At what position does

**Field decreasing to zero** induces emf trying to maintain field, current direction such that its field adds to original. For 150 turns area 0.06 m² B 0.14 T to zero in 0.3 s, e=150×0.06×0.14/0.3=4.2 V, as earlier, showing linear dependence on N, A, ΔB/Δt. The rate of change of flux ( (dΦ/dt) = N B A ω sinθ ) is maximum when sinθ = 1 , i.e., at θ = 90° , where the coil is perpendicular to the field. Using Φ = B A cosθ, e = -N dΦ/dt = -N A dB/dt = B l v = N B A ω sinωt, L

Ref: NCERT > Physics Book > Electromagnetic Induction > Induced EMF Due to Change in Magnetic Field