Chapter 23, Problem 37A

To determine

To Explain:Equivalent resistance decreases as more resistors are added to a parallel circuit.

Explanation of Solution

Introduction:

Equivalent resistance for parallel combination can be obtained by:

  $R_{eq}={\left[\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}\right]}^{-1}$

In a parallel connection circuit, the voltage drop across each branch remains same. When more resistances are added in parallel connection, the equivalent resistance decreases and current increases through the circuit. The number of branches through which the current can flow increases.