Thank guys! Please show me answer and solution For the circuit shown in the figu

Question

Thank guys! Please show me answer and solution

For the circuit shown in the figure below, calculate the following quantities. (Assume

and

R = 8.50 ?.

)

(a) the current in the 2.00-? resistor
mA

(b) the potential difference between points a and b
V

Thank guys! Please show me answer and solution For the circuit shown in the figure below, calculate the following quantities. (Assume (a) the current in the 2.00-? resistor mA (b) the potential difference between points a and b V epsilon = 3.50 V and R = 8.50 ?. )

Explanation / Answer

let i1 cuuent in top loop and i2 current in bottom loop

then by kvl

-12=4i1+2(i1-i2)--------------------(1) (assume current direction is clockwise)

-3.5=8.5i2+2(i2-i1)----------------(2) (assume current direction is clockwise)

by solving them

i1=-2.25

i2=-0.76

so current through 2ohm is i1-i2 = -1.49A so current flow form b to a.

Vba = 2*1.49=2.98V   (point b is at higher potential then a )

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