A dc motor with its rotor and field coils connected in series has an internalresistance of 2.00 Ω. When running at full load on a 120 V line, itdraws a 4.00 A current. What is the mechanical power developed?

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A dc motor with its rotor and field coils connected in series has an internal
resistance of 2.00 Ω. When running at full load on a 120 V line, it
draws a 4.00 A current. What is the mechanical power developed?

Expert Solution
Concept

The emf equation of a motor is given by the equation,

Advanced Physics homework question answer, step 1, image 1

where V is the voltage, I is the current, R is the resistance and Eb is the emf.

Mechanical power is the rate at which the work can be done. It can be determined by the equation,

Advanced Physics homework question answer, step 1, image 2

where Eb and I is the emf and current.

 

Calculation

Given:

Advanced Physics homework question answer, step 2, image 1

The emf in the rotor can be determined by re-arranging equation (1).

Advanced Physics homework question answer, step 2, image 2

Substitute the given values in the above equation to find the emf in the rotor.

Advanced Physics homework question answer, step 2, image 3

Now, calculate the mechanical power developed using equation (2).

Substitute all the given and calculates values in equation (2).

Advanced Physics homework question answer, step 2, image 4

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