To find the current through each resistor in a parallel circuit, we need to apply Ohm's Law, which states that the current through a resistor is equal to the voltage across the resistor divided by its resistance. This can be written mathematically as:
[tex]\[ I = \frac{V}{R} \][/tex]
Where:
- [tex]\( I \)[/tex] is the current
- [tex]\( V \)[/tex] is the voltage
- [tex]\( R \)[/tex] is the resistance
Given:
- The voltage ([tex]\( V \)[/tex]) across each resistor is 240V (since each resistor in a parallel circuit sees the full voltage of the source).
- The resistance ([tex]\( R \)[/tex]) of each resistor is 400 ohms.
Let's calculate the current ([tex]\( I \)[/tex]) through one of the resistors using Ohm's Law:
[tex]\[ I = \frac{V}{R} = \frac{240V}{400\Omega} \][/tex]
To simplify this calculation, we divide 240V by 400Ω:
[tex]\[ I = 0.6A \][/tex]
So, the current through each of the 400-ohm resistors is 0.6 amps when connected in parallel across a 240V source. Since none of the supplied answers match the calculated result, the correct current through each resistor is not listed among the provided options.
