Sure! Let’s go through the process step-by-step to find the resistance in the circuit.
Given:
- Voltage [tex]\( V = 220 \)[/tex] volts
- Current [tex]\( I = 5.2 \)[/tex] amps
We need to find the resistance [tex]\( R \)[/tex] and round it to the nearest tenth.
1. Ohm's Law:
Ohm's Law states that [tex]\( V = IR \)[/tex]. Here, [tex]\( V \)[/tex] is the voltage, [tex]\( I \)[/tex] is the current, and [tex]\( R \)[/tex] is the resistance.
2. Formula to find Resistance:
Rearranging the formula [tex]\( V = IR \)[/tex] to solve for [tex]\( R \)[/tex]:
[tex]\[
R = \frac{V}{I}
\][/tex]
3. Substitute the given values:
[tex]\[
R = \frac{220 \text{ volts}}{5.2 \text{ amps}}
\][/tex]
4. Calculate the resistance:
Performing the division:
[tex]\[
R \approx 42.30769230769231 \text{ ohms}
\][/tex]
5. Round to the nearest tenth:
The resistance to the nearest tenth of an ohm is:
[tex]\[
R \approx 42.3 \text{ ohms}
\][/tex]
Therefore, the resistance in the circuit with a voltage of 220 volts and a current of 5.2 amps is approximately [tex]\( 42.3 \)[/tex] ohms when rounded to the nearest tenth.
