The equivalent resistance between points A and B of the circuit shown is 25.2 Ω. For R1 = 10.3 Ω and R2 = 52.8 Ω, calculate the value of resistance R3.
Homework Answers
R2 and R3 are in parallel
net resisrance=R2*R3/(R2+R3)
R1 is in series with the above equivalent resistance.
equivalent resistance between A and B =R1+(R2*R3/(R2+R3))
using the given values,
10.3+(52.8*R3/(52.8+R3))=25.2
==>52.8*R3/(52.8+R3)=14.9
==>3.54362*R3=52.8+R3
==>R3=52.8/(3.54362-1)=20.7578 ohms
hence value of resistance of R3 is 20.7578 ohms
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