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telo118 [61]
3 years ago
13

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 t

he electric motor is 98.6 V. Find the coil resistance of the motor.
Physics
1 answer:
Aleksandr [31]3 years ago
3 0

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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<u>Answer</u>

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