Develop the mathematical model of the following AC circuit and determine the current flow i(t) at any time i where V(1) = 3 cos 4t V, R=4 W and L=2 H. R
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- A circuit is given below. Compute for the algebraic sum of potential difference for the following electrical loops using KVL: abca abdca acda abcda acbda Show your systematic solutions.Va = 18V, Vb = 43V, Ic = 14mA. The circuit is in dc steady state. Use superposition. Considering ONLY the contribution of the voltage source, Vb, Determine V1. Enter your answer in V rounded to one decimal place.Given an AC source having a voltage v(t)=18sin(173t + 30°) V, find the votage at t=130ms.
- Find the impedance theoretically of a wire if it carries the frequency 10 kHz have a voltage is 8v, the current is 2mA, resistance is 12 kΩ , inductance 27 mH and capacitance 0.2 µf10. Voltage flows through an electric circuit like water flows through a pipe. Select one: TRUE FALSEThe voltage and current at the terminals of the circuit element are zero for t<0. For t≥0 they are v=(1500t+1)e−750t V,t≥0;i=40e−750t mA,t≥0. Find the total energy delivered to the circuit element inmicrojoules.
- In a single graph, sketch v=100 cos(ωt+ϕ) versus ωt for ϕ=−60∘, −30∘, 0∘, 30∘, and 60∘.1. State whether the voltage function is shifting to the right or left as ϕbecomes more positive.2. What is the direction of shift if ϕ changes from 0 to −30∘?given circuit, Vk = 12 V, R = 240 Ω, C = 1 μF, L = 40 mH. Theswitch, is closed for a long time for t < 0– . Determine vL(t) for t > 0.The circuit shown below has two inputs: v1(t) = 50 cos (20t – 75°) V v2(t) = 35 cos (20t + 110°) V When the circuit is at steady state, the node voltage is v(t) = 21.25 cos (20t – 168.8°) V Determine the values of R and L.
- The admittance for a circuit, G + jB, is 0.02 + j0.20. What is the impedance, R + jX? Provide illustration of the circuit.A single phase CSI (with ideal switches) has the following days: I=30 A, f=500 Hz, Load capacitance=20 uF Find the circuit turn off time.RLC LTI Systems with DC Source Let: R = 10 Ohms C = 10-2 Farads L = 0.5 Henry E = 12 V Assuming q(0) = 0 and i(0) = 0, find the current in the system.