In the circuit below, the magnitude of the potential difference across the 20-W resistor is closest to: 11 V Lum 5.022 1092 20 42 10 22 10 92

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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In the circuit below, the magnitude of the
potential difference across the 20-W resistor
is closest to:
11 V
Imm
5.022
10 92
20 92
Ω
1092
10 22
Transcribed Image Text:In the circuit below, the magnitude of the potential difference across the 20-W resistor is closest to: 11 V Imm 5.022 10 92 20 92 Ω 1092 10 22
Expert Solution
Step 1: Resistors in parallel and series

All 10 text end text capital omega resistors are connected in series. So, the net resistance in the series connection will be:

table row cell R subscript s equals 10 text end text capital omega plus 10 text end text capital omega plus 10 text end text capital omega end cell row cell R subscript s equals 30 text end text capital omega end cell end table


Rs is in parallel to 20 text end text capital omega. So, the net resistance in the parallel connection will be:

table row cell 1 over R subscript p equals 1 over R subscript s plus fraction numerator 1 over denominator 20 text end text capital omega end fraction end cell row cell 1 over R subscript p equals fraction numerator 1 over denominator 30 text end text capital omega end fraction plus fraction numerator 1 over denominator 20 text end text capital omega end fraction end cell row cell R subscript p equals 12 text end text capital omega end cell end table

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