The armature windings of a dc motor have a resistance of 8.0 Ω . The motor is connected to a 120-V line, and when the motor reaches full speed against its normal load, the back emf is 108 V. The load is increased so it causes the motor to run at half speed.
What will be the current in the motor in this case? (Express your answer to two significant figures and include the appropriate units.)

This method be used in all case as one cannot say back emf reduces to half when speed reduces to half. When speed reduces Emf also reduces but it also depends on change in the Load. So in general we can solve this if load or Initial Armature current are specified. It also depends on the flux in the armature.
The armature windings of a dc motor have a resistance of 8.0 Ω . The motor...
a) A motor has an armature resistance of 5.17 Ohm. If the motor draws 7.04 A when running at full speed and connected to a 120 V supply line, how large is the back EMF? b) What would the current in the motor be if the load causes it to run at half speed? Assume that the supply voltage is fixed.
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Both questions go together
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FQ3
3. A 240 V DC series motor with 0.1 ohm armature resistance and 0.1 ohm field resistance runs at 1200 rpm and 100 Amp. of full load speed and armature current respectively. The motor has a brush contact drop of 2 volts. Find the motor full load torque and efficiency If the motor is to drive a pump that requires a torque of 150 NM, find the speed as the motor drives the given pump. a. b.
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1. A motor has an armature resistance of 3.00 Q. If it draws 5.00 A when running at full speed and connected to a 125 V line, how large is the back emf? Volts
A d.c 220 V, shunt motor has an armature resistance of 1 Ω and a field circuit resistance of 150 Ω. While running steadily from 220 V supply, its back emf is found to be 209 V. The motor is drawing a line current of: