The LCR circuit in the Figure is driven by a voltage source with VAC = Vmax sin(2пft), where Vmax = 5 V, R = 130 £2, and C (a) If the resonant frequency is fres = 20 MHz, what is L? Submit Answer Tries 0/8 (b) What is the amplitude (the peak value) of the current when f = fres? Submit Answer Tries 0/8 = 30 nF. VAC R www m L C
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- A coil of resistance 25 Ω and inductance 100 mH is connected in series with acapacitance of 0.12 μF across a 200 V, variable frequency supply. Calculate (a)the resonant frequency, (b) the current at resonance, and (c) the factor bywhich the voltage across the reactance is greater than the supply voltage.3. A series circuit consists of a 30-ohm resistor. a 0.104-henrv inductor, and a 40-microFarad capacitor. If a vanable frequencv I2U-volt source is connected across its terminals, (a) calculate the resonant frequency. fOr the condition of resonance, determine (b) the circuit current and power; (C) the voltage drops across the resistor, the inductor, and the capacitor Prepared bv ENGR. JEFFSON S. BALDEMECACritically analyse the principles of circuit theory to explain series resonant circuit. Deriveexpression for resonant frequency and evaluate the resonant frequency and current flowing atresonance in a series a.c circuit consisting of a coil of resistance 4 ohm , inductance 70mH and capacitance0.06 uF if the supply voltage is 100V
- A coil of inductance 0.20H and resistance 60 ohm is connected in parallel with a 20μF capacitor across a 20V, variable frequency supply. Calculate (a) the resonant frequency, (b) the dynamic resistance, (c) the current at resonance and (d) the circuit Q-factor at resonance.Compute the impedance Z of a series R-L-C circuit at angular frequencies ω = (a) 1001 rad/s Assume R = 201 Ω, L = 0.902 H and C = 2.01 μF. (b) What is the resonant angular frequency ωRES of the circuit? Assume the voltage source amplitude is Vm = 100.00 (V). (c) What is the current amplitude Im when the circuit is at the resonant angular frequency? (d) What is the current amplitude Im when the circuit is at 751 rad/s? (e) Should the answers to (c) and (d) be nearly equal? Explain.A coil of resistance 25Ω and inductance 100mH is connected in series with a capacitance of 0.12μF across a 200V, variable frequency supply. Calculate: i. The resonant frequency. ii. The current at resonance. iii. The factor by which the voltage across the reactance is greater than the supply voltage.
- A circuit consisting of a coil of resistance 12 ohms and inductance 0.15 H in series with a capacitor of 12 micro Farad is connected to a variable frequency supply which has a constant voltage of 24 Volts. Calculate (a) the resonant frequency (b) the current in the circuit at resonance (c) the voltage across the capacitor and the coil at resonance.A circuit comprises of a coil (resistance of 20W, inductance of 600mH), and a capacitor of 2.0mF connected in parallel. A supply of 80V at 50 Hz is connected across the circuit. Calculate: Impedance Phase angle Resonant frequency Q-factor Bandwidth How does each of the above parameters change if the components are connected in series? Explain what is happening to both parallel and series connections of the above circuit at resonant frequency and critically evaluate the effects on circuit currents, voltages and components.A coil of resistance 20 Q and inductance of 300 mH is connected in parallel with a capacitance of 200 uF. The combination is connected across 200 V, variable frequency power supply. At what frequency will the parallel circuit resonate and what would be the current at resonance? [Ans 19.26 Hz, 0.431 A]
- For the parallel RLC circuit given in Figure 5 for Vs=10sinωt R=2.2 Ω, L=100 µH andC=1000 µFa) Obtain the resonant frequency ω0, the quality factor Q and the bandwidth B.b) Calculate the half-power frequencies ω1 and ω2.c) Determine the power consumption at ω0, ω1, and ω2.d) Plot the current amplitude versus frequencye) Use LTSPICE to plot frequency response.A 15.9 uF capacitor and a 15.1 mH inductor are connected in parallel. In series with these units are a variable resistor R and an adjustable reactive device X, joined in series. (a) Determine the kind and size of device X (inductance in Henrys or capacitance in uF) when the circuit is connected to a 50 volt 200 cps source and is adjusted to resonance. (b) For the resonant condition, calculate the value of R if the voltage drop across the paralleled units is to be 100 volts -write legibly and show complete solutionA 15.9 uF capacitor and a 15.1 mH inductor are connected in parallel. In series with these units are a variable resistor R and an adjustable reactive device X, joined in series. (a) Determine the kind and size of device X (inductance in Henrys or capacitance in uF) when the circuit is connected to a 50 volt 200 cps source and is adjusted to resonance. (b) For the resonant condition, calculate the value of R if the voltage drop across the paralleled units is to be 100 volts