Question

In: Electrical Engineering

One RL series circuit contains the resistor R1= 2 Ω and inductor L = 10 H....

One RL series circuit contains the resistor R1= 2 Ω and inductor L = 10 H.
(i) Write the first order differential equation for this circuit in time constant form.
(ii) Determine the time constant for this system
(iii) Calculate the steady state gain of the system.
(iv) Determine the time constant and steady state gain when the inductance is doubled
(v) In the context of positioning of poles on the S-plane, what does the ‘real part’ represent and what is the effect of ‘real part’ on the system when it becomes negative, positive and zero?

Solutions

Expert Solution


Related Solutions

Suppose an electrical circuit contains a 1 H inductor, a 10 Ω resistor and a capacitor...
Suppose an electrical circuit contains a 1 H inductor, a 10 Ω resistor and a capacitor rated at 1/7 F. If the circuit is hooked up to an alternating voltage source described by E(t) = 68 cost V and initially q(0) = 1 C and i(0) = 0 A, find a function that describes the charge as a function of time.  Lq'' + Rq' + q/C = E(t).   Please show work using a complementary and particular solution if possible.
A resistor of R = 10 Ω is connected in series with an inductor of L...
A resistor of R = 10 Ω is connected in series with an inductor of L = 2 H and a direct voltage source of 50 V forming an RL circuit. Determine the current at time t, assuming that current does not initially flow through the circuit. What is the maximum current flowing through the circuit? In what time is half the maximum current reached?
A 200 Ω resistor is in series with a 8.50×10−2 H inductor and a 0.540 μF...
A 200 Ω resistor is in series with a 8.50×10−2 H inductor and a 0.540 μF capacitor. part A: Compute the impedance of the circuit at a frequency of f1 = 500 Hz and at a frequency of f2 = 1000 Hz . Enter your answer as two numbers separated with a comma. part b: In each case, compute the phase angle of the source voltage with respect to the current. Enter your answer as two numbers separated with a...
In an RL series circuit with L = 1/100 H, R = 20 Ω, and E...
In an RL series circuit with L = 1/100 H, R = 20 Ω, and E = 60 V. Determine the limit of the maximum current reached (At the function you found to determine the current as a function of time apply the limit when t goes to infinity) and determine the time in which it reaches half of that value. Take i (0) = 0 A.
A series ac circuit contains a 210 Ω resistor, a 20.0 mH inductor, a 3.30 μF...
A series ac circuit contains a 210 Ω resistor, a 20.0 mH inductor, a 3.30 μF capacitor, and an ac power source of voltage amplitude 45.0 V operating at an angular frequency of 360 rad/s . 1)What is the power factor of this circuit? 2)Find the average power delivered to the entire circuit. 3)What is the average power delivered to the resistor, to the capacitor, and to the inductor?
An RLC series circuit consists of a 450-Ω resistor, a 3.00-mF capacitor, and a 1.00-H inductor....
An RLC series circuit consists of a 450-Ω resistor, a 3.00-mF capacitor, and a 1.00-H inductor. The circuit is driven by a power source that oscillates at 20.0 Hz and has an ε_rms value of 90.0 V . The power source is switched on at t = 0 and at that instant the emf is at its maximum value. A) Calculate the power supplied at t = 0.0200 s. B) Calculate the power supplied at t = 0.0375 s. C)...
An RLC series circuit consists of a 450-Ω resistor, a 3.00-mF capacitor, and a 1.00-H inductor....
An RLC series circuit consists of a 450-Ω resistor, a 3.00-mF capacitor, and a 1.00-H inductor. The circuit is driven by a power source that oscillates at 20.0 Hz and has an Erms value of 30.0 V . The power source is switched on at t = 0 and at that instant the emf is at its maximum value. Part A Calculate the power supplied at t = 0.0200 s. Part B Calculate the power supplied at t = 0.0375...
A series circuit contains a 3.00 H inductor, a 3.00
A series circuit contains a 3.00 H inductor, a 3.00
An RLC series circuit has a 60 Ω resistor, a 3.5 mH inductor, and a 6...
An RLC series circuit has a 60 Ω resistor, a 3.5 mH inductor, and a 6 μF capacitor. Find the circuit’s impedance at 55 Hz and 12 kHz. If the voltage source has Vrms = 110 V, what is Irms at each frequency?    
An RLC series circuit has a 2.50 Ω resistor, a 100 µH inductor, and an 87.5...
An RLC series circuit has a 2.50 Ω resistor, a 100 µH inductor, and an 87.5 µFcapacitor. (a) If the voltage source is Vrms = 5.60 V , what is the Irms at 120 Hz? A ( ± 0.001 A) (b) What is the phase angle of the current vs voltage at this frequency? Enter a positive number between 0 and 90 degrees ( ± 0.1 degrees) (c) What is the Irms at 5.0 kHz? A ( ± 0.01 A)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT