- #1

HMS-776

- 63

- 0

I am trying to figure out what the voltage across each component will be. In the cirucit above resonance occurs between inductor L1 (5 Henries) and Capacitor C1 (10nF) The other inductor (L2) is 10 Henries and the circuit's resistance is 1,000 Ohms.

Here's my attempt at figuring the voltage magnification, total current, and voltage across each component.

Fres=711 Hz

XL1= 22.3 K Ohms

XL2= 44.6 K Ohms

XC1= 22.3 K Ohms

The Q of the circuit is XC or XL divided by R

Q= 22,300 / 1,000 = 23

Voltage magnification is Q times Applied Voltage. The applied voltage is 10V so the voltage magnification is 10 X 23 = 230V.

The circuit's total impedance at resonance is 44.6 K ohms + 1 K Ohm = 45,600 Ohms.

The total current is then V/R=I

I= 230 / 45,600 = .005 amps

So the voltage across each component is I X R = V

VL1 = 111 V

VL2 = ?

VC1 = 111 V

Inductor L2 has the highest reactance, so it should have the highest voltage drop right? Using ohms law the voltage drop across inductor L2 is 223 Volts which is obviously wrong.

What am I doing wrong here, and how do I find the current through the circuit and the voltage across each component? PLEASE HELP!

Last edited: