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College Physics

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

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BuyFindarrow_forward

College Physics

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

The resistance between terminals a and b in Figure P18.13 is 75 Ω. If the resistors labeled R have the same value, determine R.

images

Figure P18.13

To determine
The value of the resistor R.

Explanation

Given Info: The resistors R1=120Ω , R2=40Ω , R3=5.0Ω and unknown resistor R

Explanation:

Formula to calculate the total resistance of the three parallel branches is,

Rp=(1R1+1R2+1R+R3)1

  • Rp is the total resistance,
  • R1 , R2 and R3 is the resistors,
  • R is the unknown resistor,

Substitute 120Ω for R1 , 40Ω for R2 and 5.0Ω for R3 .

Rp=(1120Ω+140Ω+1R+5.0Ω)1=(4120Ω+1R+5.0Ω)1=(130Ω+1R+5.0Ω)1=(30Ω)(R+5

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