Question

An RLC series circuit containing a 6.00-mH inductor, a 100-? resistor, a 4.00-?F capacitor, and an AC source for which Emax = 50.0 V is operated at an angular frequency of 3000 s?1 .

Part A

Determine the phase constant ? where ?90? ??? 90?.

? = ?  

Part B

Determine the power factor.

cos? =

Part C

Determine the impedance.

Z =

Part D

Determine the rms emf for the source.

Erms =

Part E

Determine the rms current.

Irms =

Part F

Determine the average rate at which energy is delivered by the source.

Pav =

Answer 1

Given Resisitance R= 100 ohm,

inductance L = 6.00 mH = 6.00 x 10^-3 H

Capacitance C = 4.00 microfarad = 4 x 10^-6 F

Angular frequency w(omega) = 3000 s^-1

Emax = 50.0 V

First of all we need to calculate the reactances of the inductor and the capacitor given by

X(L) = wL = 3000 x 6.00 x 10^-3 = 18 ohms

And X(C) = 1/wC = 1/(3000 x 4 x 10 ^-6) = 83.33 ohms

Now