Chapter 18, Problem 25P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# Using Kirchhoff’s rules (a) find the current in each resistor shown in Figure P18.25 and (b) find the potential difference between point c and f.Figure P18.25

(a)

To determine
The current in each resistor I1,I2,I3

Explanation

Given Info:

Resistance R1 is 2.00â€‰kÎ© , Resistance R2 is 3.00â€‰kÎ© , Resistance R3 is 4.00â€‰kÎ© , Voltage Îµ1 is 70.0â€‰V , Voltage Îµ2 is 60.0â€‰V , and Voltage Îµ3 is 80.0â€‰V .

Explanation:

The below figure shows the direction of current flow in the circuit.

• Îµ1,Îµ2,Îµ3 is voltage in the circuits
• R1,R2,R3 is corresponding resistance in the circuits
• I1,I2,I3 is corresponding current in the circuits

Apply Kirchhoffâ€™s voltage law to the left and right loop.

From the left loop abcfa,

Îµ1âˆ’Îµ2âˆ’R1I1âˆ’R2I2=0

Substitute, 2.00â€‰kÎ© for R1 , 3.00â€‰kÎ© for R2 , 70.0â€‰V for Îµ1 and 60.0â€‰V for Îµ2 , in the above equation to find expression for abcfa

From the right loop edcfe,

Îµ3âˆ’Îµ2âˆ’R2I2âˆ’R3I3=0

Substitute, 3.0â€‰kÎ© for R2 , 4.0â€‰kÎ© for R3 60.0â€‰V for Îµ2 and 80.0â€‰V for Îµ3 in the above equation to find expression for edcfe,

Conclusion:

Formula to calculate current by using Kirchhoffâ€™s junction rule

I2=I1+I3

Use, 5

(b)

To determine
The potential difference between point c and f.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started