A circuit is constructed with anAC generator, a resistor, capacitor and inductor as shown. Thegenerator voltage varies in time as ε =Va - Vb = εmsinÏt, where εm= 24 V and Ï = 141 radians/second. At this frequency,the circuit isin resonance with the maximum value of the current Imax = 0.81 A.The capacitance C = 140μF. The values for the resistance R and theinductance L are unknown.
1)
What is L, the value of the inductance of the circuit?
mH
2)
What is Umax,C, the value of the maximum energy stored in thecapacitor during one cycle?
J
3)
What is ÎU, the total energy dissipated in the circuit in onecycle?
J
4)
What is Q, the quality factor of this ciruit?
5)
What is R, the value of the resistance of the circuit?
Ω
6)
Suppose now the value of the capacitance in the circuit is doubled(Câ = 2C) and the inductance is changed appropriately to keep thecircuit in resonance at angular frequency Ï = 141 radians/s whilethe generator voltage and resistance are kept constant. How does Q,the quality factor of the circuit, change, if at all?
Q increases
Q decreases
Q stays the same