Parallel Circuit Physics Example 4

Solution

1. 1
   Apply the parallel resistance formula: $$\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} = \frac{1}{6} + \frac{1}{12} + \frac{1}{4}$$
2. 2
   Find a common denominator (12): $$\frac{1}{R_T} = \frac{2}{12} + \frac{1}{12} + \frac{3}{12} = \frac{6}{12} = \frac{1}{2}$$
3. 3
   Invert to find the total resistance: $$R_T = 2 \text{ } \Omega$$