Question

The potential difference across the $6\Omega$ resistor will be:

• A. 12 V
• B. 4 V
• C. 8 V
• D. 10 V

Answer 1

The correct option is A 12 V

In this case, 2 resistances of 6 ohms and 4 ohms are connected in series. So the total resistance is given as 6+4 = 10 ohms.
The potential difference across the circuit is given as 20 V. The current in the circuit can be determined from the relation $I=\frac{V}{R}=\frac{20}{10}A=2A$.
Hence, the current in the circuit is 2 ampere.
As the current is same across a serially connected circuit, the voltage across the 6 ohms resistor can be determined using the relation: $V=IR$.
That is, $V=2A\times 6\Omega =12V$.
Hence, the potential difference across the 6 ohms resistor is 12 V.