To find the resistance in the circuit, you can use Ohm's Law. Ohm's Law states that the voltage (V) across a resistor is equal to the current (I) flowing through the resistor multiplied by the resistance (R) of the resistor. This can be written as:
[tex]\[ V = I \times R \][/tex]
Given:
- Voltage ([tex]\( V \)[/tex]) = 6 volts
- Current ([tex]\( I \)[/tex]) = 12 amperes
We need to find the resistance ([tex]\( R \)[/tex]). To do this, we rearrange Ohm's Law to solve for [tex]\( R \)[/tex]:
[tex]\[ R = \frac{V}{I} \][/tex]
Substitute the given values into the equation:
[tex]\[ R = \frac{6 \text{ volts}}{12 \text{ amperes}} \][/tex]
Perform the division:
[tex]\[ R = 0.5 \text{ ohms} \][/tex]
So, the resistance in the circuit is 0.5 ohms. Among the given answer choices, the correct one is:
Ο 0.50
