   Chapter 18, Problem 8P

Chapter
Section
Textbook Problem

Consider the combination of resistors shown in Figure P18.8. (a) Find the equivalent resistance between point a and b. (b) If a voltage of 35.0 V is applied between points a and b, find the current in each resistor. Figure P18.8

(a)

To determine
The equivalent resistance between the points a andb.

Explanation

Given Info:

The two parallel resistors is R1=12.0Ω and R2=6.00Ω .

Explanation:

Formula to calculate the equivalent resistance of the two parallel resistors is,

1RP1=1R1+1R2

• RP1 is the equivalent resistance for the parallel combination ,
• R1 and R2 is the two parallel resistors,

Rewrite the above relation as RP1 .

RP1=R1R2R1+R2

Substitute 12.0Ω for R1 and 6.00Ω for R2 .

RP1=(12.0Ω)(6.00Ω)12.0Ω+6.00Ω=4.00Ω

Thus, the equivalent resistance of the two parallel resistors is RP1=4.00Ω .

Formula to calculate the equivalent resistance of the two parallel resistors is,

1RP2=1R4+1R5

• RP2 is the equivalent resistance for the parallel combination ,
• R4 and R5 is the two parallel resistors,

Rewrite the above relation as RP2

(b)

To determine
The current through each resistor from the given figure P18.8.

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