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Consider the circuit shown below. Find V1 (in V), I2 (in A), and I3 (in A). (Due

ID: 1730891 • Letter: C

Question

Consider the circuit shown below. Find V1 (in V), I2 (in A), and I3 (in A). (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign. For the currents, indicate the direction with the signs of your answers.)

Cnn der the circuit shown he w. Find V (In V your answers.) 2 in A and?? in A). nue to th natura n th s robi m, do nnt LAA un ed Intarme lat values n ynur calculations including anRA ??? ? ?hmltted in e Assi n. Far tha cumant indicate the direction with tha s gns at R1-18 ? R2 _9?

Explanation / Answer

for I3 current

I3 = I1 + I2

= 6 + I2

KV L at left loop

V1 - I1 R1 + I2 R2 = 0

V1 - 18 X 6 + 9 I2 = 0

V1 + 9 I2 = 108

now KVL at right loop

V2 - I3 R3 - I2 R2 = 0

32 - ( 6 + I2 ) X 4 - 9 I2 = 0

32 - 24 - 4 I2 - 9I2 = 0

13 I2 = 8

I2 = 0.615 A

V1 + 9 I2 = 108

V1 + 9 X 0.615 = 108

V1 = 102.465 V

current I3 = 6 + 0.615 A

I3 = 6.615 A