If V=12 Volts and I=100 mA, what is the resistance R?

If V=12 Volts and I=100 mA, what is the resistance R?

• A. 120 Ohms
• B. 12 Ohms
• C. 1.2 Ohms
• D. 12K Ohms

Answer: (A)

To find the resistance \( R \), you can use Ohm's Law, which states that \( V = I \times R \). Rearranging this formula gives us \( R = \frac{V}{I} \). In this scenario, you are given a voltage \( V \) of 12 volts and a current \( I \) of 100 mA (which is 0.1 A when converted to amperes). Plugging these values into the rearranged formula: \[ R = \frac{V}{I} = \frac{12 \text{ Volts}}{0.1 \text{ A}} = 120 \text{ Ohms} \] Therefore, the resistance \( R \) is 120 Ohms, which is why this is the correct answer. Understanding Ohm's Law is crucial in electrical circuits since it relates voltage, current, and resistance in a linear way, allowing for easy calculations and predictions of circuit behavior.

To find the resistance ( R ), you can use Ohm's Law, which states that ( V = I \times R ). Rearranging this formula gives us ( R = \frac{V}{I} ).

In this scenario, you are given a voltage ( V ) of 12 volts and a current ( I ) of 100 mA (which is 0.1 A when converted to amperes). Plugging these values into the rearranged formula:

[

R = \frac{V}{I} = \frac{12 \text{ Volts}}{0.1 \text{ A}} = 120 \text{ Ohms}

]

Therefore, the resistance ( R ) is 120 Ohms, which is why this is the correct answer.

Understanding Ohm's Law is crucial in electrical circuits since it relates voltage, current, and resistance in a linear way, allowing for easy calculations and predictions of circuit behavior.