The power factor of an RLC series circuit is 0.6. The capacitance is 100microfarad and the frequency is 50Hz. If the voltage across the circuit is equal to the voltage across the capacitor, then find the inductance and resistance of the circuit.
(If possible please give the steps also)
2006-10-20 23:15:58 · 2 answers · asked by panther 1 in Science & Mathematics ➔ Physics
Do your own homework!
2006-10-23 00:06:22 · answer #1 · answered by Dan 4 · 0⤊ 1⤋
The power factor is equal to R / Z = R / (R + jwL + 1/jwC). j is the imaginary number, sqrt(-1), and w is the frequency. You're going to have two unknowns, R and L, because you've been given C and w. When you say that the "voltage across the circuit is equal to the voltage across the capacitor," that appears to mean that there is no voltage drop across the resistor or inductor. But that doesn't tell you anything, except that 5 time constants have passed. You can't use that information to solve. Is it supposed to be that the voltage across the resistor is equal to the voltage across the capacitor? If so, then it means that the complex inductances of the two elements are equal, so R = 1/jwC. Since you know C and w, you can solve for R, and use the result to solve for L above.
2006-10-25 06:19:32 · answer #2 · answered by DavidK93 7 · 0⤊ 0⤋