Chapter 23.1, Problem 19SSC

To determine

The current that passes through the power source.

Answer to Problem 19SSC

The current through the power source in the circuit is $I=2.85\text{ A}$.

Explanation of Solution

Given:

A circuit consisting of four parallel branches, with branch currents $120\text{ mA}$ , $\text{250 mA}$ , $\text{380 mA}$ and 2.1 A.

Concept used:

The sum of the current flowing through the individual parallel branches equals the total current in the circuit.

Calculation The individual branch currents are given as $120\text{ mA}$ , $\text{250 mA}$ , $\text{380 mA}$ and 2.1 A. Therefore, the sum of these currents gives the total current of the circuit which passes through the power source. It can be calculated as,

  $\begin{array}{c}I=0.120+0.250+0.380+2.1\text{ A}\\ =2.85\text{ A}\end{array}$

Conclusion:

Therefore, the current through the power source is 2.85 A.