Chapter 18, Problem 27P

### 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

# (a) Can the circuit shown in Figure P18.27 be reduced to a single resistor connected to the batteries? Explain. (b) Calculate each of the unknown currents I1, I2, and I3 for the circuit.Figure P18.27

(a)

To determine
To reduce the circuits to a single resistor connected to the batteries.

Explanation

Explanation:

Some simplification can be made to reduce the circuit.

Formula to calculate to reduce to a single resistor is by equivalent resistance REqÂ upper in series

From the Upper loop:

Two resistances are connected in series R1 and R2

REqÂ upper=R1+R2 (I)

Formula to calculate to reduce to a single resistor is by equivalent resistance REqÂ lower in series

From the lower loop:

Two resistances are connected in series R4 and R5

REqÂ lower=R4+R5 (II)

• REqÂ upper is Equivalent resistance in the upper loop
• REqÂ lower is Equivalent resistance in the lower loop
• R1,R2,R3,R4,R5 is corresponding resistance in the circuits
• I1,I2,I3 is corresponding current in the circuits

Substitute 2

(b)

To determine
The current from the circuits I1,I2,I3 .

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