Physics 9702 · AS & A Level · Electromagnetic induction

Electromagnetic induction — practice question

A metal wheel is made up of an axle A, eight spokes and a rim, as shown in Fig. 1.1. Point X lies on the rim at the outer end of one spoke. The rim has a radius of $0.85\,\text{m}$. The wheel is turning clockwise at an angular speed of $140\,\text{rad s}^{-1}$.
(a(i))[2]

For point X, determine its speed.

(a(ii))[2]

For point X, determine the centripetal acceleration.

(b(i))[2]

A uniform magnetic field of flux density $0.18\,\text{T}$ is directed into the plane of the page. State Lenz’s law of electromagnetic induction.

(b(ii))[1]

Show that the time for point X to make one complete revolution is $45\,\text{ms}$.

(b(iii))[3]

Calculate the magnetic flux cut by spoke AX during one complete revolution of the wheel. Include a unit in your answer.

(b(iv))[2]

Determine the magnitude of the electromotive force (e.m.f.) induced across spoke AX.

(b(v))[1]

Use Lenz’s law to explain whether the potential is higher at end A or end X of the spoke.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply $v=r\omega$

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