Question

Consider a RLC series circuit that satises the equation Ldi/dt + Ri + 1/C (integral) idt...

Consider a RLC series circuit that satises the equation Ldi/dt + Ri + 1/C (integral) idt = v(t), with i(t) and v(t) sinusoidal signals, the excitation signal v(t) = 200 sqrt(2) cos(w(t - 4.1667)) with t in [ms], and the parameters R = 100 [ ], L = 1 [H], C = 5 [C] and f = 60 [Hz]. Use the properties of the phasor transformation to: (a) determine the equivalent impedance of the system (b) determine the mathematical expression for the current i(t) (c) draw the phasor diagram of the current and the voltages in each element of the circuit (d) calculate the power factor and the power supplied by the source.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An RLC series circuit has a 200 Ω resistor and a 25.0 mH inductor. At 7800...
An RLC series circuit has a 200 Ω resistor and a 25.0 mH inductor. At 7800 Hz, the phase angle is 45.0°. (a) What is the impedance (in ohms)? _____Ω (b) Find the minimum possible capacitance (in nanofarads) of the circuit. ______nF (c) If Vrms = 408 V is applied, what is the average power (in watts) supplied? _____W
In an RLC series circuit, the voltage amplitude and frequency of the source are 100 V...
In an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 500 Hz, respectively, and R = 510 Ω, L = 0.23 H, and C = 2.7 µF. (a) What is the impedance of the circuit (in Ω)?___________Ω (b)What is the amplitude of the current from the source (in A)?_________A (c)If the emf of the source is given by v(t) = (100 V)sin(1,000πt), how does the current vary with time? (Use the following as...
A sinusoidal voltage Δv = (90.0 V)sin(160t) is applied to a series RLC circuit with L...
A sinusoidal voltage Δv = (90.0 V)sin(160t) is applied to a series RLC circuit with L = 30.0 mH, C = 110.0 μF, and R = 36.0 Ω. (a) What is the impedance of the circuit? (b) What is the maximum current in the circuit?
A series RLC circuit has R = 400 ?, L = 1.35 H, C = 3.8...
A series RLC circuit has R = 400 ?, L = 1.35 H, C = 3.8 ?F. It is connected to an AC source with f = 60.0 Hz and ?Vmax = 150 V. Suppose the frequency is now increased to f = 93 Hz, and we want to keep the impedance unchanged. (a) What new resistance should we use to achieve this goal? R = ____ ? (b) What is the phase angle (in degrees) between the current and...
A series RLC circuit with a resistance of 122.0 Ω has a resonance angular frequency of...
A series RLC circuit with a resistance of 122.0 Ω has a resonance angular frequency of 3.4 ✕ 105 rad/s. At resonance, the voltages across the resistor and inductor are 60.0 V and 40.0 V, respectively. (a) Determine the values of L and C. L = ............. H C = ..................F (b) At what frequency does the current in the circuit lag the voltage by 45°? ......................Hz
An AC source with a peak emf of 40.0 V is in a RLC series circuit....
An AC source with a peak emf of 40.0 V is in a RLC series circuit. The circuit has a resistance of 4.00 Ω , a capacitance of 24.0 μF , and an inductance of 4.50 mH . The frequency of the alternating current is 180 Hz . a. What is the peak current in the circuit? b. What is the phase angle in degrees between the current and emf? c. What is the average power supplied by the emf?...
The RLC series circuit illustrated in the simulation has R = 1.49 Ω, L = 1.25...
The RLC series circuit illustrated in the simulation has R = 1.49 Ω, L = 1.25 H, and C = 198 µF. The applied AC voltage has a frequency of f = 60 Hz and a voltage of Δv = 120 V. 1-Find the inductive reactance, capacitive reactance, and impedance. XL = ........ Ω XC = ........ Ω Z = ......... Ω 2-Find the phase difference between current and voltage............. ° 3-Find the voltages ΔvR, ΔvL, and ΔvC. ΔvR =...
An RLC series circuit has a 200-ohm resistor and a 25 mH inductor. At 8000 Hz,...
An RLC series circuit has a 200-ohm resistor and a 25 mH inductor. At 8000 Hz, the phase angle is 450. (a) What is the impedance? (b) Find the circuit’s capacitance (C). (c) If Vrms of 480V is applied, what is the average power supplied? Degree
Now Tiva and Graciela try a problem from the book. The RLC series circuit illustrated in...
Now Tiva and Graciela try a problem from the book. The RLC series circuit illustrated in the simulation has R = 1.2 Ω, L = 1.02 H, and C = 183 µF. The applied AC voltage has a frequency of f = 60 Hz and a voltage of Δv = 120 V. Find the inductive reactance, capacitive reactance, and impedance. XL =____ Ω XC =____ Ω Z =____ Ω Find the phase difference between current and voltage. ° Find the...
Consider an RLC circuit in series. In the circuit the AC source has an rms voltage...
Consider an RLC circuit in series. In the circuit the AC source has an rms voltage of 10 V and frequency of 25 kHz. The inductor is 0.50 mH, the capacitor is 0.10 μF, and resistor is 5.0 Ω. a) Determine the impedance b) Determine the voltage across the inductor, capacitor and resistor. c) Determine the phase angle. d) Is the voltage leading or lagging the current?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT