The Relationship Between Voltage, Current, and Resistance

A circuit carries a current of 0.64 A when there is a resistance of 50.0 Ω.

The voltage applied to the circuit, to the nearest whole number, is 32V. The equation that relates voltage (V), current (I), and resistance (R) is V = IR. In this case, I = 0.64 Amps and R = 50 Ohms. Thus, the voltage is simply 0.64 multiplied by 50 and the answer is 32 Volts.

What is resistance?

Resistance is the obstruction of electrons in an electrically conducting material. The SI unit of the resistance is Ohm. The mathematical relation for resistance can be understood with the help of the empirical relation provided by Ohm's law.

V=IR

where V is the voltage, I is the current, R is the resistance. For calculating equivalent resistance in series combination:

Re = R1 + R2

For the given problem when a circuit carries a current of 0.64 A and there is a resistance of 50.0 Ω, by using Ohm's law V=IR.

By substituting the values of resistance and current:

V = 0.64 × 50.0

V = 32

The voltage applied to the circuit, to the nearest whole number, is 32V.

What is the mathematical relation for resistance?

The mathematical relation for resistance is V=IR, where V is the voltage, I is the current, and R is the resistance.