The figure shows a circuit containing two batteries and three resistors. The bat

Question

The figure shows a circuit containing two batteries and three resistors. The batteries provide Vemf,1=13.0V and Vemf,2=17.0V and have no internal resistance. The resistors have resistances of R1=29.2?, R2=38.3?, and R3=19.4?.

Find the magnitude of the potential drop across R2?
R22

The figure shows a circuit containing two batteries and three resistors. The batteries provide Vemf,1=13.0V and Vemf,2=17.0V and have no internal resistance. The resistors have resistances of R1=29.2?, R2=38.3?, and R3=19.4?. Find the magnitude of the potential drop across R2?

Explanation / Answer

By superposition principle

Vr2 = voltage across R2 due to V1 + voltage across R2 due to V2

= 13 * (38.3||19.4)/(29.2 + 38.3||19.4) - 17 *(38.3||29.2)/(19.4 + 38.3||29.2)

= 3.978 - 7.83

= -3.85

Vr2 = 3.85V (positive on the right side)

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