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

To determine the resistance of the circuit, you can use Ohm's Law, which is defined by the formula

[

R = \frac{V}{I}

]

where (R) is the resistance in ohms, (V) is the voltage in volts, and (I) is the current in amperes.

In this scenario, you have a voltage of 90 volts and a current of 3 amperes. Substituting the values into the formula gives:

[

R = \frac{90 \text{ volts}}{3 \text{ amperes}} = 30 \text{ ohms}

]

This calculation shows that the resistance in the circuit is 30 ohms. Using Ohm's Law in this way allows one to directly relate voltage, current, and resistance, which is fundamental in understanding electrical circuits.

This means that the circuit with a current of 3 amperes flowing when connected to a voltage of 90 volts has a resistance of 30 ohms, making the correct answer the one that identifies this value.