Home > categories > Electrical Equipment & Supplies > Inductors > What unit results when calculating the quantity, 1/2πfc. V,wb,f/s,ohms, or F.s?
Question:

What unit results when calculating the quantity, 1/2πfc. V,wb,f/s,ohms, or F.s?

2.Two 0.20-H inductors and one 0.44-H inductor are connected in series across the terminals of a 60.0-Hz ac generator. What is the total inductive reactance of this circuit?3. An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-?F capacitor and a 300-Ω resistor a.What is the capacitive reactance? b.What is the rms current through the resistor? 4.A series RCL circuit is comprised of a 3.00-mH inductor and a 5.00-?F capacitor. What is the resonant frequency of this circuit?5.An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-?F capacitor and a 300-Ω resistor. Determine the peak voltage of the generator.6.An ac generator supplies a peak (not rms) voltage of 150 V at 60.0 Hz. The generator is connected in series with a 35-mH inductor, a 45-?F capacitor and an 85-Ω resistor. What is the impedance of the circuit?

Answer:

2.Two 0.20-H inductors and one 0.44-H inductor are connected in series across the terminals of a 60.0-Hz ac generator. What is the total inductive reactance of this circuit? XL ω*L tot 2PI*f*(0.20*2+0.44) 377*0.84 316.67 3. An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-?F capacitor and a 300-Ω resistor a.What is the capacitive reactance? Xc 10^6/(ω*C) 10^6/(377*6) 442 ohm XL ω*L 0.50*377 188.50 ohm R 300 ohm X Xc-XL 253.6 ohm b.What is the rms current through the resistor? Z √300^2+253.6^2 393 ohm I V/Z 180/393 0.458 A 4.A series RCL circuit is comprised of a 3.00-mH inductor and a 5.00-?F capacitor. What is the resonant frequency of this circuit? Resonance condition : XL XC ωL 1/ωC ω^2L*C 1 4*PI^2*f^2*3*10^-3*5*10^-6 1 f √10^3*10^6/(4*3.14^2*3*5) 1300 Hz 5.An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-?F capacitor and a 300-Ω resistor. Determine the peak voltage of the generator. Peak voltage 180√2 6.An ac generator supplies a peak (not rms) voltage of 150 V at 60.0 Hz. The generator is connected in series with a 35-mH inductor, a 45-?F capacitor and an 85-Ω resistor. What is the impedance of the circuit? Xc 10^6/(ω*C) 10^6/(377*45) 58.95 ohm XL ω*L 35*10^-3*377 13.20 ohm R 85 ohm X Xc-XL 45.75 ohm Z √85^2+45.75^2 96.53 ohm
2.Two 0.20-H inductors and one 0.44-H inductor are connected in series across the terminals of a 60.0-Hz ac generator. What is the total inductive reactance of this circuit? ZL jωL jω(0.2+0.2+0.44) j*2*π*60*(0.2+0.2+0.44) 3. An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-?F capacitor and a 300-Ω resistor a.What is the capacitive reactance? ZC 1/j*2*π*60*C b.What is the rms current through the resistor? I V/Z Z R + j(2*π*60*L - 1/(2*π*60*C) ) 4.A series RCL circuit is comprised of a 3.00-mH inductor and a 5.00-?F capacitor. What is the resonant frequency of this circuit? fo 1/2*π*√L*C) 5.An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-?F capacitor and a 300-Ω resistor. Determine the peak voltage of the generator. Vrms Vpeak/√2) Vpeak √2)*Vrms 6. Z R + j(2*π*60*L - 1/(2*π*60*C) ) Magnitude of Z |Z| √R? + ( 2*π*f*L - 1/2*π*f*C)?] Plug in the values.

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