Physics
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A series circuit has an inductor L, a capacitor C, and a power source of variable angular frequency ω. At the angular frequency, ω0, the inductive reactance equals the capacitive reactance. Calculate i) the angular frequency ω0, and ii) the reactances of the inductor (XL) and capacitor (XC) for L= 220.0 mH and C= 8.25 μF.
An alternating current power supply of rms voltage 120.0 V and frequency 80.0 Hz is connected to a parallel plate capacitor. The rms current in the circuit is 200.0 mA. Calculate the capacitance of the parallel plate capacitor.
An inductive coil (L = 300 mH) and a parallel plate capacitor (C = 2.30 μF) are connected in series to a power source of variable frequency. The frequency of the power source is set at 1 kHz. i) Calculate the inductive reactance (XL) of the inductor and ii) the capacitive reactance (XC) of the capacitor at this frequency. iii) At what frequency f0 does the inductive reactance equal the capacitive reactance?