- #1
Rijad Hadzic
- 321
- 20
Homework Statement
A series RLC circuit with a resistance of 120 ohms has a resonance angular frequency of 4x10^5 rad/s
At resonance the voltages across the resistor and inductor are 60 V and 40 V respectively.
Determine the values of L and C
Homework Equations
I_t = Imax sin(ωt)
w_o = 1/(LC)^1/2
Z= R when we're given the resonance frequency
Imax(w_o) = εmax/ R
The Attempt at a Solution
4x10^5 rad/s = 1/(LC)^1/2
ωL - 1/ωC = 0
ωL = 1/ωC
L = 1/ωCThe problem is I'm not given the AC εmf.
Ac emf = (120 Ohm * 60 V ) + (40 V * ω_0 L ) + ( x V * (1/(ω_0)(c)) )
so I don't know: c, L, voltage of capacitor, or the voltage of the AC generator.
I'm lost as to how to proceed from here. Any help would be appreciated.