Engineering Solve Motor Coil Current at Startup & Full Speed

AI Thread Summary
The discussion focuses on calculating the motor coil current during startup and at rated speed, given a coil resistance of 10 Ω and a supply voltage of 120 V with an emf of 70 V when running. For startup, the current is calculated using Ohm's law, resulting in 12 A. At rated speed, the current is derived from the difference between the supply voltage and the back emf, yielding 5 A. The equations used are V = Ri for startup and E = V - Ri for rated speed. The calculations are confirmed to be correct for an unloaded motor operating at design speed.
Lucas123
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Homework Statement
electric machines
Relevant Equations
I do not know
The question I'm in doubt about is

The motor coil has a resistance of 10 Ω and is powered by a voltage of 120 V. When the motor is operating at rated speed, its emf is 70 V. Thus, it is questioned:

a) What is the coil current when the motor is started?
b) What is the coil current at rated speed?

What equations can I use to solve it?
 
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You must make the attempt (rules of the website) . The difficult part is to decide which equations apply. What are likely candidates and why?
 
I thought about solving it like this:
a) V = Ri -> 120 = 10i -> i = 12 A

b) E = V - Ri -> 70 = 120 - 10i -> i = 5 A

But I don't know if it's correct
 
If I remember correctly (I do not do motors regularly) that will be true for an unloaded motor running at its design speed. Somebody will correct me as required... please.
 
I get the same answers you do.

[But your equations look funny here (odd characters), I can't sort them out.]

Cheers,
Tom
 

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