source provides a sinusoidal current i,(t) of 60 Hz to two resistors and a capacitor, so that rough this last element circulates a current ic(t). R2 i,(t) ( R1 C rie(t) a) If R2 = 1N , design R1and C so that the effective value of i (t) be half of is (t) and so that the lag between these currents is 45°
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- Describe the Step-by-step procedure for steady-state analysis of circuits with sinusoidal sources.What condition must be true of the sources. Please answer in typing format and don't copy paste from AI and short answerFor the circuit in the figure, initially the switch S is closed in (b), until the capacitor is charged; then the switch goes to point (a) so that the battery is disconnected and the capacitor, resistor and inductor are connected in series. Once S is connected at point (a), find a) the angular frequency of oscillation for the series circuit b) write the equation for the charge on the capacitor as a function of time with the respective values of Qmax, angular frequency Wd and time T c) make the Q(t) graph showing explicitly the envelope of the exponential decay (Hint: use geogebra or an application of your choice to obtain a graph).16. Consider a simple RC circuit which has a resistor of 2 ohm and capacitor of 3F. If the initial voltage is 12V then find the charge q(t) is expression. 17. Suppose we have a RC circuit with an alternating voltage V(t) = V_{m} * cos(5t) If the initial voltage is 4V and the resistor has a resistance of 8 ohm and the capacitor is of capacitance 2F then find the charge for the circuit ?
- A source provides a sinusoidal current is (t) of 60 Hz to two resistors and a capacitor, so that a current ic (t) flows through this last element. a) Indicate under which conditions ic (t) would be late with respect to is (t), under which conditions it would be in phase and under which conditions it would be earlyb) If C increased and the rest of the circuit remained the same, indicate whether the effective value of ic (t) would increase or decreasePlease upload a simulation in matlab based off the equation for the attenuation constant. Needs Complete solution with 100 % accuracy.Diferential Equations, pls dont skip steps on the integrals and everything thank you A 12 volt battery is connected to a series circuit in which the inductor is 12 henry and the resistance is 10 ohms. Determine the current i, if the initial current is zero.
- Write MATLAB program to define the exponentially varying sinusoid f(t) mentioned in topic4.3. Also, include in your code the upper and lower envelopes of f(t)Is the circuit currently in steady-state or transient condition? Justify your answer. Based on the plots, is the circuit in steady-state or in transient condition after the closure of the switch BUT before the plots become horizontal? Justify your answer. Is the inductor behaving like a short circuit after the plots become horizontal? Why?Suppose that at t=0, we connect an uncharged 10{μF capacitor to a charging circuitconsisting of a 2500-V voltage source in series with a 2{MΩ resistance. At t=40s, the capacitoris disconnected from the charging circuit and connected in parallel with a 5{MΩ resistor.Determine the voltage across the capacitor at t=40 s and at t=100 s. (Hint: You may find itconvenient to redefine the time variable to be t′=t−40 for the discharge interval so that thedischarge starts at t′=0.)
- An RC circuit has an emf of 100 volts, a resistance of 5 ohms, a capacitance of 0.02 farad, and an initial charge on the capacitor of 5 coulombs. Find (a) an expression for the charge on the capacitor at any time t, (b) the current in the circuit at any time t and (c) determine the steady-state and transient currents.Given circuit, capacitor voltage is at 0 V with switch SW1 open. At time t0, switch SW1 is closed. At time t0, what is the voltage v? What is the voltage v at time infinity? At time t0, what is the current through R2? What is the current through R2 at time infinity?A sinusoidal current source, 10 cos 1000t, is in parallel both with a 20-ohm resistor and the series combination of a 10-ohm resistor and a 10-mH inductor. Find the amplitude of the voltage across the 10-ohm resistor.