Sure, I'll guide you step-by-step through solving this problem using Ohm's Law.
Ohm's Law is a fundamental principle in the field of electricity, which states that the voltage (V) across a conductor is directly proportional to the current (I) flowing through it, with the proportionality constant being the resistance (R) of the conductor. The formula for Ohm's Law is:
[tex]\[ V = I \times R \][/tex]
Where:
- [tex]\( V \)[/tex] is the voltage across the conductor in volts (V),
- [tex]\( I \)[/tex] is the current flowing through the conductor in amperes (A),
- [tex]\( R \)[/tex] is the resistance of the conductor in ohms (Ω).
Given:
- The current [tex]\( I = 5 \)[/tex] A,
- The resistance [tex]\( R = 46 \)[/tex] Ω,
We substitute these values into the formula to find the voltage [tex]\( V \)[/tex]:
[tex]\[ V = 5 \, \text{A} \times 46 \, \Omega \][/tex]
So the voltage [tex]\( V \)[/tex] is:
[tex]\[ V = 230 \, \text{V} \][/tex]
Therefore, the voltage across the conductor is [tex]\( 230 \)[/tex] volts.
