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An electric motor has its shaft coupled to that of an electric generator. The motor drives the generator, and some current from the generator is used to run the motor. The excess current is used to light a home. What is wrong with this scheme?

Short Answer

Expert verified

The extra power needed for lighting the bulb cannot be achieved from the system. Hence, the scheme is flawed.

Step by step solution

01

Step 1:Generator converts the mechanical energy

The motor is running by the electric power. Suppose this power is Po. Due to some resistance in the wires and the circuitry, a small portion of the energy is wasted into heat.The wholePo power is not converted to mechanical energy. So, the achieved mechanical energyPm is less thanrole="math" localid="1663830497933" Po .

Pm<Po

The generator converts mechanical energy to electrical energy. Due to the resistance in the circuitry,whole mechanical energy is Pm not converted into electrical energy. So, the achieved electrical energy role="math" localid="1663830396760" Pelis less thanPm .

Pel<Pm

02

Motor Generator combination

The achieved electrical energy is less than the achieved mechanical energy.

Pel<Po

The motor-generator combination itself is generating less power than it is consuming.

Therefore, the extra power needed for lighting the bulb cannot be achieved from the system.

Hence, the scheme is flawed.

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