Apply Kirchhoff\'s rules to the circuit in the figure below, where R 1 = 7.0 ? ,
ID: 2143084 • Letter: A
Question
Apply Kirchhoff's rules to the circuit in the figure below, where R1 = 7.0 ?, R2 = 6.0 ?, R3 = 5.0 ?, R4 = 8.0 ?, R5 = 7.0 ?, V1 = 6 V, and V2 = 6 V.
Explanation / Answer
R12 = R1*R2/(R1+R2) = 3.23 ohms
let i is the current in the ckt
apply KVL
V1 - i*R5 - i*R4 + V2 - i*R3 - i*R12 = 0
6 - 7i - 8i + 6 - 5i - 3.23i = 0
23.23*i = 12
i = 12/23.23 = 0.5166 A
a)
i1(through R1) = i*R2/(R1+R2) = 0.2384 A
i2(through R2) = i*R1/(R1+R2) = 0.2782 A
current through R3, R4, R5 is i = 0.5166 A
b) power delivered at r1, P1 = i1^2*R1 = 0.3978 watts
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