Find the current (downward) thru the 440 ohm resistor. Note the dependent curren

Question

Find the current (downward) thru the 440 ohm resistor. Note the dependent current supply. Its current output is equal to 0.2 times the voltage Vx. Use mesh current analysis.

Will give 5 stars to a step-by-step solution with the correct answer :) Thanks in advance!

Find the current (downward) thru the 440 ohm resistor. Note the dependent current supply. Its current output is equal to 0.2 times the voltage Vx. Use mesh current analysis. Will give 5 stars to a step-by-step solution with the correct answer :) Thanks in advance!

Explanation / Answer

let the three mesh currents be i1,i2,i3 from left to right in clockwise direction apply KVL in the first loop: 5.6 = 50i1+1200(i1-i2) -----------(1) apply supermesh in second and third loops: 1200(i2-i1)+330i2+440i3=0 --------(2) i3-i2=0.2Vx Vx=1200i1 i3-i2=240i1 -----------(3) solve the equations 1,2,3, then you get i1=8.64x10^(-5) i2=-4.58x10^(-3) i3=16x10^(-3) so the current passing through 440 ohms is i3=16mA

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