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9 December, 14:55

During a 72-ms interval, a change in the current in a primary coil occurs. This change leads to the appearance of a 6.0-mA current in a nearby secondary coil. The secondary coil is part of a circuit in which the resistance is 12 Ω. The mutual inductance between the two coils is 3.2 mH. What is the change in the primary current?

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  1. 9 December, 15:07
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    so change in primary current is 1.620 A

    Explanation:

    Given data

    current I = 6.0-mA = 6 * 10^ (-3) A

    resistance R = 12 Ω

    mutual inductance M = 3.2 mH = 3.2 * 10^ (-3) H

    dt = 72-ms = 72 * 10^ - (3) s

    to find out

    change in the primary current

    solution

    we know that

    Electric and magnetic fields in secondary coil = mutual inductance * change in primary current / dt ... 1

    and we know also that Electric and magnetic fields in secondary coil = resistance * current

    so = 6 * 10^ (-3) * 12 = 72 * 10^ (-3) volts

    so that we say

    change in primary current from equation 1

    change in primary current = Electric and magnetic fields in secondary coil * dt / mutual inductance

    change in primary current = 72 * 10^ (-3) * 72 * 10^ (-3) / 3.2 * 10^ (-3)

    change in primary current = 1.620

    so change in primary current is 1.620 A
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