Finding vs in a Circuit with v2=1000i2 and i2=5 mA

[KillerZ]

Homework Statement

For the circuit shown, if v₂ = 1000i₂ and i₂ = 5 mA, determine v_s.

Homework Equations

$$5 mA = 0.005 A$$
$$P = v_{2}i$$

The Attempt at a Solution

$$P = v_{2}i$$

$$v_{2} = \frac{P}{I} = \frac{5}{0.005} = 1000 V$$

$$v_{2} = 5v_{1}$$

$$v_{1} = \frac{v_{2}}{5} = \frac{1000}{5} = 200 V$$

What I am having problems with is $$v_{s}$$ is a independent voltage source so I am not sure what to do.

 

[Delphi51]

Hi Killer. I'd like to help but I don't understand the symbols in your diagram. What is the circle marked Vs - a voltage source or a Voltmeter? Are V1 and V2 meters? What about the diamond with an arrow?

 

[KillerZ]

Well that's all the question showed but I am certain that the circle marked Vs is a independent voltage source and the diamond with an arrow is a dependent source (voltage-controlled) and I think the squares are a circuit terminal elements I don't think it is important what they are just what way the current goes through them (like through the positive or negative side first to determine + or - current.

 

[Delphi51]

Very strange - I've never seen anything like it before.
Anyway, it says V2 = 1000*i2 and i2 = 5, so V2 = 5000.
V2 is supplied by the 5V1, so we have 5V1 = 5000 and V1 = 1000 Volts.
V1 is the connected across Vs, so Vs = V1 = 1000 Volts.

 

[KillerZ]

Ok. Would it matter if i2 is in mA not A or would that not effect it?

 

[Delphi51]

Good catch! Change my 5 to .005.

 

[KillerZ]

Ok thanks for the help.