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- a) Find the final value for the capacitor voltage (Vc(∞ ))? b) Find the circuit time constant for t>0? c) Find an expression for the capcitor voltage for t>0?Ex : For the circuit shown in the figure below : 1. Find the mathematical expression for the transient behaviour of the voltage across the capacitor as well as the current of the capacitor if the capacitor was initially uncharged and the switch is closed at position 1 when t - o sec . 2. Find the mathematical expression for Vc and is if the switch is moved to position 2 at t = 10msec . 3. Find the mathematical expressions for Vc and ic if the switch is moved to position 3 at t = 20msec 4. Plot the waveforms of the Vc and is obtained from the parts 1 to 3 . R ic 20 kΩ 20 E 12 V C 0.05 uF vc R , 310 ΚΩ TA resistor, an inductor, and a capacitor are connected in parallel to an ac source with voltage amplitude V and angular frequency v. Let the source voltage be given by v = Vcosvt. (a) Show that each of the instantaneous voltages vR, vL, and vC at any instant is equal to v and that i = iR + iL + iC, where i is the current through the source and iR, iL, and iC are the currents through the resistor, inductor, and capacitor, respectively. (b) What are the phases of iR, iL, and iC with respect to v? Use current phasors to represent i, iR, iL, and iC. In a phasor diagram, show the phases of these four currents with respect to v. (c) Use the phasor diagram of part (b) to show that the current amplitude I for the current i through the source is I = √(I2R) + (IC - IL)2 . (d) Show that the result of part (c) can be written as I = V/Z, with 1/Z = √ (1/R2) + [ωC - (1/ωL)]2.
- a) What is the time domain expression for the current? b) If the load impendance is created by an inductor with value L=375 mH, find the phaser voltage Vx? c) If the load impendance is created by a capacitor with value C=16.7 uF, find the phaser voltage Vx?The pathway for a binary electrical signal between gates in an integrated circuit can be modeled as an RC circuit, as shown in the figure to the right; the voltage source models the transmitting gate, and the capacitor models the receiving gate. Suppose the resistance is 500 ohms and the capacitance is 10^-12 F (1 picofarad, pF. If the capacitor is initially uncharged and the transmitting gate changes instantaneously from 0 to 6 V, how long will it take for the voltage at the receiving gate to reach 5 V?By Differential equations An electromotive force of 100 volts is applied to an RC series circuit, in which the resistance is 50 ohms and the capacitance is 0.002 farads. Determine the load q(t) of the capacitor, if q(0) = 5C. Find the current i(t). Pls dont skip any steps even on the integrals
- Q5. For an exhibition project you are designing a circuit of signal processor which can be connected to 230V, 50 Hz supply have a 5.0 H inductor, 80 μ F capacitor and 40Ω resistor kept in series. How can you evaluate the rms current and average power delivered to the circuit? Based on your observation, evaluate the potential drop across capacitance and inductor. Comment about that r m s voltage found in this circuit is less than peak voltage? Justify it with your answer. If you remove the inductor and connect a bulb in series with a capacitor. What will happen to the brightness of bulb if it is connected to DC source and then to an AC source. Assess and find reason for your observations in each case.What are two real-world consequences of having to amplify the input to a system so that the output reaches a desired steady-state value? Related to Electroncis & CircuitsLet Vs=530tᶾ v, leg t >0 and iL (0) = 1 A, in the circuit shown, at t=0.2s, determine the values of the energy stored in the capacitor and the coil. The circuit is in the attached image.
- Describe the steady-state similarities and differences of DC and AC circuits with purelyresistive elementsa. Find the mathematical expressions for the transient behavior of thevoltage vC and the current iC if the capacitor was initially unchargedand the switch is thrown into position 1 at t = 0 s.b. Find the mathematical expressions for the voltage vC and the current iCif the switch is moved to position 2 at t = 3 ms.c. Find the mathematical expressions for the voltage vC and the current if theswitch is thrown into position 3 at t =5 ms.d. Plot the waveforms obtained in parts (a)–(c)A circuit is designed with an AC source of max voltage 12 and frequency 60 Hz. The circuit has a resistance of 1050 Ohms, an inductance of 0.06 Henrys, and a capacitance of 0.009 coulombs per volt. - omega for source in rad/s? - omegaR for circuit? -XL? -XC? -phi in radians? -Z? -imax?