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In the resistance network to the right, all resistors are [tex]2 \, \Omega[/tex] and the battery is [tex]6 \, V[/tex]. Calculate the potential difference across [tex]R_3[/tex].

Answer :

Final answer:

To calculate the potential difference across R3, calculate the total resistance and use Ohm's Law to find the potential difference.

Explanation:

To calculate the potential difference across resistor R3, we need to determine the total resistance in the circuit first. Since all resistors are 2Ω, we can simplify the circuit by combining the resistors in series. The total resistance (RT) can be found by adding the resistances of R1, R2, and R3. Once we have the total resistance, we can use Ohm's Law (V = IR) to calculate the potential difference across R3.

Let's calculate the total resistance:

RT = R1 + R2 + R3 = 2Ω + 2Ω + 2Ω = 6Ω

Now, we can use Ohm's Law:

V = IR3, where V is the potential difference across R3, I is the current flowing through the circuit, and R3 is the resistance of R3. Since we are given the battery voltage of 6V and the total resistance of 6Ω, we can find the current:

I = V/RT = 6V/6Ω = 1A

Finally, we can calculate the potential difference across R3:

V = IR3 = 1A x 2Ω = 2V

Therefore, the potential difference across R3 is 2V.

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