Given the element values. Calculate the current ixix using the branch current me

Question

Given the element values. Calculate the current ixix using the branch current method (BCM) a function of i1i1. Prove your answers are correct by multiplying your solution for ixix by R1R1and showing that this product is vxvx.
Here, v1=10Vv1=10V, v2=11Vv2=11V, i1i1 is a variable (AA), i2=18Ai2=18A, i3=20Ai3=20A, R1=5R1=5, R2=9

R2 20 points) 11 V2 Vi Given the element values. Calculate the current i using the branch current method (BCM) a function of il. Prove your answers are correct by multiplying your solution for i by R1 and showing that this product is vr Here, vi 10V, v2 11V, i is a variable (A), i2 18A, i3 20A, R 52, R. 92 A help (formulas)

Explanation / Answer

Here, Using BCM

for the current in resistance R2 (Iy)

iy - ix + i1 + i2 - i3 = 0

>> iy = ix + i3 - i1 - i2

Using KVL in the loop with V1 and V2

V1 + V2 = iy * R2 + ix * R1

10 + 11 = 9 * (ix + i3 - i1 - i2) + ix * 5

10 + 11 = 9 * (ix + 20 - i1 - 18) + ix * 5

3 = 14 * ix - 9 * i1

ix = (3 + 9 * i1)/14

the formula for ix is (3 + 9 * i1)/14

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