A dc motor with its rotor and field coils connected in series has an internal resistance of 3.2 Ω. When running at full load on a 120-V line

Question

A dc motor with its rotor and field coils connected in series has an internal resistance of 3.2 Ω. When running at full load on a 120-V line, the emf in the rotor is 105 V. Part A What is the current drawn by the motor from the line? Express your answer using two significant figures.

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Amity 3 days 2021-07-19T16:50:54+00:00 1 Answers 6 views 0

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    2021-07-19T16:52:11+00:00

    Answer:

    The current drawn by the motor from the line is 4.68 A.

    Explanation:

    Given that,

    Internal resistance of the dc motor, r = 3.2 ohms

    Voltage, V = 120 V

    Emf in the motor, \epsilon=105\ V

    We need to find the current drawn by the motor from the line. A dc motor with its rotor and field coils connected in series, applying loop rule we get :

    V=\epsilon+Ir

    I is current drawn by the motor

    I=\dfrac{V-\epsilon}{r}\\\\I=\dfrac{120-105}{3.2}\\\\I=4.68\ A

    So, the current drawn by the motor from the line is 4.68 A. Hence, this is the required solution.

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