(a) (i) Define magnetic flux. (ii) State Faraday's law of electromagnetic induction. (b) A solenoid has a coil C of wire wound tightly about its centre, as shown in [Figure 10.1]. The coil C has 96 turns. The uniform magnetic flux Φ (in weber) in the solenoid is given by the expression Φ = 6.8 × 10⁻⁶ × I where I is the current (in amperes) in the solenoid. Calculate the average electromotive force (e.m.f.) induced in coil C when a current of 3.5 A is reversed in the solenoid in a time of 2.4 ms. e.m.f. = .............................................................. V (c) The d.c. supply in [Figure 10.1] is now replaced with a sinusoidal alternating supply. Describe qualitatively the e.m.f. that is now induced in coil C.
- (a)(i)Define magnetic flux.[2]
- (a)(ii)State Faraday's law of electromagnetic induction.[2]
- (b)Calculate the average electromotive force (e.m.f.) induced in coil C when a current of 3.5 A is reversed in the solenoid in a time of 2.4 ms. e.m.f. = .............................................................. V[2]
- (c)The d.c. supply in Fig. 10.1 is now replaced with a sinusoidal alternating supply. Describe qualitatively the e.m.f. that is now induced in coil C.[2]
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Mark scheme
Marking points from the official mark scheme (Feb/Mar 2018). The mark or mark type is shown in brackets.
- [M1] either product of flux density and area
- [A1] direction of flux normal to area
- [(M1)] or flux density × area × sinθ
- [(A1)] where θ is angle between direction of flux and area
- [M1] (induced) e.m.f. proportional to rate
- [A1] of change of (magnetic) flux linkage
- [C1] e.m.f. = Δ(NΦ) / Δt
- [A1] = (6.8 × 10⁻⁶ × 2 × 3.5 × 96) / (2.4 × 10⁻³)
- [A1] = 1.9 V
- [C1] alternating
- [A1] with same frequency as supply
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