What should be the voltage at the ends of the circuit section so that the current in the conductor is 1.0 A

| August 14, 2021 | education

What should be the voltage at the ends of the circuit section so that the current in the conductor is 1.0 A if, at a voltage of 3 V, the current in the same conductor is equal to 0.5 A.

I1 = 1 A.

U2 = 3 V.

I2 = 0.5 A.

U1 -?

We express the voltage at the ends of the conductor U1 from Ohm’s law for the section of the circuit: U1 = I1 * R, where I1 is the current in the conductor, R is the resistance of the conductor.

Since the resistance of the conductor R does not depend on the current strength I and the voltage U and is a characteristic of the conductor itself, we will find it from Ohm’s law for the second case: I2 = U2 / R.

R = U2 / I2.

The formula for the voltage will take the form: U1 = I1 * U2 / I2.

U1 = 1 A * 3 V / 0.5 A = 6 V.

Answer: the voltage at the ends of the conductor is U1 = 6 V.



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