Write the differential equations for the circuit in Figure. L₁ u(t) R₁ C2 20 2 42
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Q: (a) Find I, in the network shown below using Norton's theorem. 6 ΚΩ ww 3 ΚΩ www 12V+ 3 ΚΩ 1 mA 3 ΚΩ
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- Describe and solve the following differential equation: y"-4y' + 3y = x²-2x+1Solve this step by stepFigure below shows a series RL circuit with an applied voltage, Obtain a differential equation giving the current i at time t. Solve the differential equation for the initial condition when t=0 and i=0
- Consider an LR circuit with a resistor and capacitor. The resistor has a resistance of 10.5 ohms and the capacitor has a capacitance of 65mH. The circuit is connected to a 15 V battery and a switch. Find the current in the circuit 3.5 ms after the switch is closed.Also, express the signum function in terms of the unit step function.For function f(t) = 5 sin(2t) show analytically & graphically the function form subject to shift upwards by 5 units shift in time domain by 5 units left. Please answer in typing format and draw diagram on paper and clean
- Identify the states, inputs, and output • Show your work to get the dynamics • Present the state space model, including the state equations and output equationcan you do 5 please elec eng maths helpA charged capacitor of C-46.0 µF is connected to a resistor of R-2.8 M2 as shown in the figure. The switch S is closed at time 1-0. Find the time (in seconde) sakes the current to fall to 0.25 of its initial value. R www
- An open circuit is composed of a capacitor with capacitance C and an inductorwith inductance L. The capacitor is charged to a voltage V and at time t = 0 the circuit isclosed. Find the current as a function of time, I(t).(i) For the circuit below, draw the output waveforms for both the given input wave- forms. (ii) How can you convert this circuit into a half-bridge by removing any two compo- nents? Please draw a circuit diagram. Also, draw the current flow through the modified circuit. This can be done by annotating the modified circuit diagram. M (i) (ii)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 answer

