Not sure what Im doing wrong here but think im needing some assistance.
An RLC series circuit resonates at a frequency of 10Khz with a resistor value of 4 ohms and capacitor value of 400nF. If it is connected across a 10V AC supply calculate the following:
A. Value of the Inductor
I used the equation L=√3R/2πF so L=√ 3x4/2xPIx(10,000/1000) and I get 0.11mH
B. Supply current at resonance
I=V/R 10/4= 2.5A
C. Voltage across the inductor and capacitor at resonance
I know these values should be equal as they cross at the resonance point but when I use the equations
VL=IXL = I(2piFL) = 2.5x2pix(10,000x0.00011) = 17.28V
Vc=IXc = I/2piFC = 2.5/2pix(10,000x400x1e-9) =0.0157V
I dont get the same answers for both so I know somethings went wrong, so it must be the value of the inductor where Ive went wrong.
An RLC series circuit resonates at a frequency of 10Khz with a resistor value of 4 ohms and capacitor value of 400nF. If it is connected across a 10V AC supply calculate the following:
A. Value of the Inductor
I used the equation L=√3R/2πF so L=√ 3x4/2xPIx(10,000/1000) and I get 0.11mH
B. Supply current at resonance
I=V/R 10/4= 2.5A
C. Voltage across the inductor and capacitor at resonance
I know these values should be equal as they cross at the resonance point but when I use the equations
VL=IXL = I(2piFL) = 2.5x2pix(10,000x0.00011) = 17.28V
Vc=IXc = I/2piFC = 2.5/2pix(10,000x400x1e-9) =0.0157V
I dont get the same answers for both so I know somethings went wrong, so it must be the value of the inductor where Ive went wrong.