b. A parallel circuit with two paths. A single 12 V cell powers the circuit. On one branch is a resistor and a switch. On the second branch is a single light bulb . The total current of the circuit is 6 A . What is the total resistance of the circuit? marks)

1. **Find the total resistance:**<br /><br />We know the total voltage (V) and the total current (I) of the circuit. We can use Ohm's Law (V = IR) to find the total resistance (R).<br /><br />* Rearrange Ohm's Law to solve for R: R = V/I<br />* Substitute the given values: R = 12V / 6A<br />* Calculate: R = 2 Ohms<br /><br />Therefore, the total resistance of the circuit is $\boxed{2 \text{ Ohms}}$.<br />