***Need help finding VR4*** Find the potential difference across each resistor i

Question

***Need help finding VR4***

Find the potential difference across each resistor in the figure below. (R1 = 5.10 ?, R2 = 3.60 ?, R3 = 3.40 ?, R4 = 1.60 ?)

?VR1 = V ?VR2 = V ?VR3 = V ?VR4 =
Apply Kirchhoff's rules to write a set of simultaneous equations that can be solved for the current through the resistor R4 and then use your results to find the potential difference requested. V Find the potential difference across each resistor in the figure below. (R1 = 5.10 ?, R2 = 3.60 ?, R3 = 3.40 ?, R4 = 1.60 ?)

Explanation / Answer

12 - 3 = 3.60i1 + 5.10i1 + 3.60i2     in left loop
8.70i1 + 3.0i2 = 9
in right loop :
18-3 = 3.60i2 + 3.40i2 +1.60i2 +3.60i1
3.60i1 + 8.60i2 = 16

i1 = 0.320 , i2 = 1.73 A

Vr1 = i1R1 = 1.63 V
Vr2 = (i1 +i2) x R2 = 7.38 V
Vr3 = i2R3 = 3.40 x 1.73 =5.88 V
Vr4 = i2R4 = 2.77 V

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