Using Ohm's Law, if a DC circuit has a current of 12 amperes and a voltage of 15 volts, what is the resistance?

To determine the resistance in the circuit using Ohm's Law, the formula used is:

[

R = \frac{V}{I}

]

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

In this scenario, you have a current ( I ) of 12 amperes and a voltage ( V ) of 15 volts. Plugging these values into the formula gives:

[

R = \frac{15 \text{ volts}}{12 \text{ amperes}}

]

Calculating that results in:

[

R = 1.25 \text{ ohms}

]

This calculation clearly shows that the resistance in the circuit is 1.25 ohms, making this the correct answer.

Understanding the relationship between voltage, current, and resistance is fundamental in electrical engineering. This law implies that if you increase the voltage while keeping the current constant, the resistance must also increase, and vice versa. This is a cornerstone of circuit analysis and reflects how components behave in electrical circuits.