To calculate the resistance in a circuit given the voltage and current, we can use Ohm's Law. Ohm's Law states that the resistance [tex]\( R \)[/tex] of a circuit can be found using the formula:
[tex]\[ R = \frac{V}{I} \][/tex]
where:
- [tex]\( R \)[/tex] is the resistance in ohms (Ω),
- [tex]\( V \)[/tex] is the voltage across the circuit in volts (V),
- [tex]\( I \)[/tex] is the current flowing through the circuit in amperes (A).
Let's apply this formula to the given values:
- Voltage ([tex]\( V \)[/tex]) = 8.0 volts,
- Current ([tex]\( I \)[/tex]) = 2.0 amperes.
Plugging the values into the formula:
[tex]\[ R = \frac{V}{I} = \frac{8.0 \, \text{V}}{2.0 \, \text{A}} \][/tex]
After dividing the voltage by the current:
[tex]\[ R = 4.0 \, \Omega \][/tex]
Hence, the resistance of the circuit is [tex]\( 4.0 \)[/tex] ohms.
