If R 1 3 R22 and R38 determine Vx Your answer must be in

If R 1 = 3 , R2=2 , and R3=8 , determine Vx. Your answer must be in V.

Vx= ?

Solution

let a current of \"I\" amperes is flowing in the circuit then apply KVL to the given circuit then

15-3I-2I-2Vx-8I=0------(eq.1)

and from the above circuit we know that

   Vx=8I---------(eq.2)

so from the above put the value of Vx in eq.1

then the eq.1 becomes

15-3I-2I-2(8I)-8I=0

15=29I

so, I=(15/29)

=0.517A

Put the above obtained \"I\" value in eq.2 then

Vx=8I

=8(0.517)

=4.137V