   Chapter 18, Problem 16P

Chapter
Section
Textbook Problem

(a) Is it possible to reduce the circuit shown in Figure P18.16 to a single equivalent resistor connected across the battery? Explain. (b) Find the current in the 2.00-Ω resistor. (c) Calculate the power delivered by the battery to the circuit. Figure P18.16

(a)

To determine
The possibility of the circuit shown in figure P18.6 is reduced into a single equivalent resistor.

Explanation

Given Info: The two parallel resistor network are R3=3.00Ω and R4=6.00Ω .

Explanation:

The following figure shows the resistor network can be reduced to a single equivalent resistance in the below steps:

Formula to calculate the equivalent resistance of the parallel combination is,

1Rp=1R3+1R4

• Rp is the equivalent resistance of the parallel combination,
• R3 and R4 is the resistors,

Rewrite the above relation.

Rp=R3R4R3+R4

Substitute 3.00Ω for R3 and 6.00Ω for R4 .

Rp=(3.00Ω)(6.00Ω)3

(b)

To determine
The current passing through the 2.00Ω resistor.

(c)

To determine
The power delivered by the battery to the given circuit.

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