What is the resistance of a circuit in which a current of 3 amperes flows through a resistor connected to 90 volts?

To find the resistance of a circuit when the current and voltage are known, you can use Ohm's Law, which states that Voltage (V) = Current (I) × Resistance (R). Rearranging this formula to find resistance gives us R = V / I.

In this case, you have a voltage of 90 volts and a current of 3 amperes. Plugging these values into the rearranged equation provides:

R = 90 volts / 3 amperes = 30 ohms.

This calculation indicates that the resistance in the circuit is indeed 30 ohms. Understanding Ohm's Law is crucial for analyzing electrical circuits, as it applies to various components and configurations, allowing you to determine one of these three fundamental characteristics (voltage, current, or resistance) if the other two are known.