If a circuit has a resistance of 10 ohms and it carries a current of 5 amps, what voltage does it operate at?

To determine the voltage in a circuit with a given resistance and current, Ohm's Law is applied. Ohm's Law states that the voltage (V) across a resistor is equal to the product of the current (I) flowing through it and the resistance (R) of that resistor. The formula is expressed as:

[ V = I \times R ]

In this scenario, the resistance is 10 ohms and the current is 5 amps. By substituting these values into the formula, we calculate:

[ V = 5 , \text{amps} \times 10 , \text{ohms} = 50 , \text{volts} ]

Thus, the voltage that the circuit operates at is 50 V, confirming that the correct answer is indeed 50 V. This relationship directly illustrates how voltage, current, and resistance interact in an electrical circuit, underscoring the importance of understanding Ohm's Law for circuit analysis and design.