The EMF of the generator is 200 V, and its internal resistance is 0.80 Ohm.

The EMF of the generator is 200 V, and its internal resistance is 0.80 Ohm. Determine the voltage at the consumer if the current in the circuit is 10 A.

EMF = 200 V.

r = 0.8 ohm.

I = 10 A.

U -?

We express the voltage U from Ohm’s law for a section of the circuit: U = I * R, where I is the current in the circuit, R is the external resistance of the circuit.

The external resistance of the circuit R is expressed from Ohm’s law for a closed loop: I = EMF / (r + R), where EMF is the electromotive force of the current source, r is the internal resistance of the generator.

r + R = EMF / I.

R = EMF / I – r.

R = 200 V / 10 A – 0.8 Ohm = 19.2 Ohm.

U = 10 A * 19.2 Ohm = 192 V.

Answer: the voltage at the generator terminals is U = 192 V.




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