- #1

wu_weidong

- 32

- 0

## Homework Statement

Given Z

_{V1}= Z

_{V2}= 100Ω,

Z

_{CCV}= Z

_{CV}= 2000/j = -2000j, and

V

_{V}/V

_{C}= 0.04789.

I'm trying to get the given V

_{V}/V

_{C}result.

## Homework Equations

I know that

1/Z

_{V}= 1/Z

_{V1}+ 1/Z

_{V2}+ 1/Z

_{CV}

V

_{V}= Z

_{V}/ (Z

_{V}+ Z

_{CCV}) * V

_{C}

## The Attempt at a Solution

1/Z

_{V}= 1/Z

_{V1}+ 1/Z

_{V2}+ 1/Z

_{CV}= 1/100 + 1/100 + j/2000

|1/Z

_{V}| = √(0.02

^{2}+ (1/2000)

^{2}) = 0.02

Z

_{V}= 50Ω

V

_{V}/V

_{C}= Z

_{V}/ (Z

_{V}+ Z

_{CCV}) = 50 / (50 - 2000j)

V

_{C}/V

_{V}= (50 - 2000j) / 50 = 1 - 40j

|V

_{C}/V

_{V}| = √(1

^{2}+ 40

^{2}) = 40.01

V

_{V}/V

_{C}= 1/40.01 = 0.02499

which is about half of the value I should get.

Where did I go wrong?