When a 1.5-V potential is applied across a parallel network of two identical resistors, the net current is 1.0 A. The individual resistance of each resistor is
A) 1.5 $\Omega$.
B) 3.0 $\Omega$.
C) 15 $\Omega$.
D) 0.67 $\Omega$

Question

When a 1.5-V potential is applied across a parallel network of two identical resistors, the net current is 1.0 A. The individual resistance of each resistor is
A) 1.5  $\Omega$.
B) 3.0  $\Omega$.
C) 15 $\Omega$.
D) 0.67 $\Omega$

Quizplus · Accepted Answer

The total resistance of the parallel network can be found using Ohm's law, $V = IR$, where $V = 1.5$ V and $I = 1.0$ A, giving $R = \frac{V}{I} = \frac{1.5}{1.0} = 1.5 \Omega$. In a parallel network of two identical resistors, the total resistance is half of the resistance of one resistor, so each resistor has a resistance of $3.0 \Omega$.

When a 15-V Potential Is Applied Across a Parallel Network of Two