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26 June, 19:50

A motor with a brush-and-commutator arrangement has a circular coil with radius 2.5cm and 150 turns of wire. The magnetic field has magnitude 0.060T and the coil rotates at 440rev/min.

Part A

What is the Maxium emf induced in the coi?

Express your answer using two significant figure.

Emax = V

Part B

What is the average back emf?

Express you anser using two significant figures.

Eav = V

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Answers (1)
  1. 26 June, 20:15
    0
    (a) 0.81 V

    (b) 0.52 V

    Explanation:

    Number of turns, N = 150

    Radius, r = 2.5 cm = 0.025 m

    Magnetic field, B = 0.060 T

    f = 440 rev/min = 440 / 60 = 7.33 rps

    A.

    The maximum emf is given by

    e = N x B x A x 2 x π x f

    e = 150 x 0.060 x 3.14 x 0.025 x 0.025 x 2 x 3.14 x 7.33

    e = 0.81 V

    B.

    The back emf is given by

    e' = 2e / π = 2 x 0.81 / 3.14 = 0.52 V
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