# Step-by-Step Solution: Parallel Resistors ## Problem Restatement Two resistors of \(20\,\Omega\) each are connected in parallel. Find their combined (equivalent) resistance. --- ## Step 1: Formula for Parallel For two resistors \(R1\) and \(R_\) connected in parallel, the resistance \(R_{eq}\) is: \[ \frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} \] --- ## Step 2: Substitute the Values Given: \(R_1 = 20\,\Omega\) \(R_2 = 20\,\Omega\) \[ \frac{1}{R_{eq}} = \frac{1}{20} + \frac{1}{20} \] --- ## Step 3: Simplify the Equation \[ \frac{1}{R_{eq}} = \frac{1}{20} + \frac{1}{20} = \frac{2}{20} = \frac{1}{10} \] --- ## Step 4: Find the Equivalent Resistance \[ R_{eq} = \frac{1}{\frac{1}{10}} = 10\,\Omega \] --- ## Final Answer **The combined resistance of the two \(20\,\Omega\) resistors in parallel is \(10\,\Omega\).**