Suppose you wish to construct a motor that produces a maximum torque whose magnitude is 1.7 × 10-2 N·m. The coil of the motor has an area of

Question

Suppose you wish to construct a motor that produces a maximum torque whose magnitude is 1.7 × 10-2 N·m. The coil of the motor has an area of 9.0 × 10-4 m2 , consists of N turns, and contains a current of 1.1 A. The coil is placed in a uniform magnetic field of magnitude 0.20 T. What must N be?

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Thiên Ân 2 months 2021-07-28T08:11:09+00:00 1 Answers 1 views 0

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    2021-07-28T08:12:14+00:00

    Answer:

    86 turns

    Explanation:

    Parameters given:

    Magnetic torque, τ = 1.7 * 10^(-2) Nm

    Area of coil, A = 9 * 10^(-4) m²

    Current in coil, I = 1.1 A

    Magnetic field, B = 0.2 T

    The magnetic toque is given mathematically as:

    τ = N * I * A * B

    Where N = number of turns

    To find the number of turns, we make N subject of formula:

    N = τ/(I * A * B)

    Therefore:

    N = (1.7 * 10^(-2)) / (1.1 * 9 * 10^(-4) * 0.2)

    N = 85.85 = 86 turns (whole number)

    The number of turns must be 86.

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