To determine the voltage Briana should apply to achieve a current of 0.8 amperes in a circuit that has a resistance of 8.0 ohms, we need to use Ohm's Law. Ohm's Law states that the voltage (V) across a resistor is equal to the current (I) through the resistor times the resistance (R) of the resistor.
The formula is given by:
[tex]\[ V = I \times R \][/tex]
Here, we are given:
- The resistance [tex]\( R = 8.0 \)[/tex] ohms
- The current [tex]\( I = 0.8 \)[/tex] amperes
Substitute the given values into the equation:
[tex]\[ V = 0.8 \, \text{A} \times 8.0 \, \Omega \][/tex]
[tex]\[ V = 6.4 \, \text{V} \][/tex]
Therefore, the voltage that Briana should apply is [tex]\( 6.4 \)[/tex] volts.
Among the given options:
- [tex]$0.10 V$[/tex]
- [tex]$6.4 V$[/tex]
- [tex]$7.2 V$[/tex]
- [tex]$10 V$[/tex]
The correct answer is [tex]\( 6.4 \, V \)[/tex].
