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In Figure 19.76 the resistance R1 is 10, R2is5 , and R3 is 20. If this combination of resistors were to be replaced by a single resistor with an equivalent resistance, what should that resistance be?

Short Answer

Expert verified

14

Step by step solution

01

Given Data

R1=10R2=5R3=20

02

Concept

The equivalent resistance is the addition of the resistances, when the batteries are connected in series.

03

Determine the equivalent resistance

Resistors R2and R3are connected in parallel,

role="math" localid="1662186967334" 1R=1R2+1R3=15+120=0.25R4=1/0.25=4

Resistors R1and R4are connected in series,

R5=R1+R4=10+4=14

Hence, the equivalent resistance is14

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