A vacuum cleaner is plugged into a 120.0-V socket and uses 2.4 A of current in normal operation when the back emf generated by the electric

Question

A vacuum cleaner is plugged into a 120.0-V socket and uses 2.4 A of current in normal operation when the back emf generated by the electric motor is 98.6 V. Find the coil resistance of the motor.

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Huyền Thanh 3 years 2021-08-31T04:48:02+00:00 1 Answers 18 views 0

Answers ( )

  1. minhkhue
    0
    2021-08-31T04:49:41+00:00
    Reply

    Answer:

    The resistance of the motor is 8.91 ohms.

    Explanation:

    Given that,

    Voltage of the socket, V = 120 V

    Current, I = 2.4 A

    Back emf generated by the electric motor is, E = 98.6 V

    We need to find the coil resistance of the motor. The new emf on the vacuum cleaner is

    V'=V-E

    V'=120\ V-98.6\ V\\\\V'=21.4\ volts

    The resistance of the motor is given by :

    V'=IR\\\\R=\dfrac{V'}{I}\\\\R=\dfrac{21.4\ V}{2.4\ A}\\\\R= 8.91\ \Omega

    So, the resistance of the motor is 8.91 ohms. Hence, this is the required solution.

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