RLC Circuit Homework: Finding Voltage Sources and Solutions

[shorteddiode]

Homework Statement

See Attached

Homework Equations

The Attempt at a Solution

I used the Pythagorean theorem Vs= the square root of Rv squared plus (Lv-Lc) squared and came up with a voltage source of 100 volts AC. Right??
So how do I figure the voltage between A,C and B,D? I have come up blank on this one, I don't even know where to start.

 

[skeptic2]

What do you know about the difference between inductive reactance and capacitive reactance?

 

[shorteddiode]

OK Guys here are the answers I was given after the re-test, Thanks for all the help guys

1 source voltage 100 volts AC
2 Between A and C 0 volts AC
3 Between B and D 141 volts AC
4 Between A and D 100 volts AC

 

[SammyS]

OK Guys here are the answers I was given after the re-test, Thanks for all the help guys

1 source voltage 100 volts AC
2 Between A and C 0 volts AC
3 Between B and D 141 volts AC
4 Between A and D 100 volts AC

I say that the answers to 2 & 3 should be switched!

2 Between A and C 141 volts AC

3 Between B and D 0 volts AC

 

[Nickie]

Great job using the Pythagorean theorem to find the voltage source! To find the voltage between points A and C, you can use the equation V = IR, where V is the voltage, I is the current, and R is the resistance. You can find the current by using Ohm's law, which states that I = V/R. So, in this case, the voltage between A and C would be V = (100 V)/(10 Ω) = 10 V. To find the voltage between points B and D, you can use the same equation, but with a different resistance value. In this case, the resistance would be 20 Ω, so the voltage between B and D would be V = (100 V)/(20 Ω) = 5 V. I hope this helps!