   Chapter 18, Problem 22P

Chapter
Section
Textbook Problem

In the circuit of Figure P18.22, the current I1 is 3.0 A and the values of ε and R are unknown. What are the currents I2 and I3? Figure P18.22

To determine
The current I2 and I3 in the circuit.

Explanation

Given Info: Voltage ε1 is 24V and Resistance R1 is 6.0Ω , Current I1 is 3.0A , Resistance R2 is 3.0Ω , Change in potential VbVa is 6.0V .

Explanation:

Formula to calculate the change in potential

Follow the path of I1 from a to b

VbVa=ε1R1I1

• ε1 is voltage in the circuits
• R1 is resistance in the circuits
• I1 is current in the circuits
• Va voltage at point a
• Vb voltage at point b

Substitute 24V for ε1 , 6.0Ω for R1 and 3.0A for I1 in the above equation to find VbVa

VbVa=24V(6.0Ω)(3.0Ω)=6.0V

Formula to calculate the current I2

Follow the path of I2 from a to b

VbVa=R2I2

• R2 is corresponding resistance in the circuits
• I2 is current in the circuits
• Va voltage at point a
• Vb voltage at point b

Substitute 3

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