03: The switch in the circuit shown has beeln TII position 1 for a long timc. At t = 0 it moves instantaneously to position 2. 1- Could we determine the value of voltage at t=0 for the 1.5H inductor and why? 2- Determine the amount of energy trapped in the inductors. . 3- Determine the amount of energy dissipated when 10 S0 V 3H 1.5 H 40 N =100 V.
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- A 10-mH inductor has a parasitic series resistance of R s =1 Ω, as shown in FigureP3.68.a. The current is given by i( t )=0.1 cos( 10 5 t ). Find v R ( t ), v L ( t ), and v(t). In thiscase, for 1-percent accuracy in computing v(t), could the resistance be neglected?b. Repeat if i( t )=0.1 cos( 10t ).In the circuit shown in the figure, the inductor has inductance ?=3.50 HL=3.50 H and negligible internal resistance. The battery has a voltage of ?b=16.0 VVb=16.0 V and is connected in series to a resistor of resistance ?1=14.0 Ω.R1=14.0 Ω. A second resistor has a resistance of ?2=145 Ω.R2=145 Ω. The switch ?S has been open for a long time. At time ?=0,t=0, the switch is closed. What is the current ?b,0Ib,0 through the battery, the current ?2,0I2,0 through resistor ?2,R2, and the current ?L,0IL,0 through the inductor at ?=0.t=0. What is the current ?b,∞Ib,∞ through the battery, the current ?2,∞I2,∞ through resistor ?2,R2, and the current ?L,∞IL,∞ through the inductor long after the switch is closed (i.e., ?=∞).1. For the network shown in Figure 1:(a) Determine the mathematical expressions for the variation of the current in the inductor following the closure of the switch at t = 0 on to position 1.(b) When the switch is closed on to position 2 at t = 100 ms, determine the new expression for the inductor current and for the voltage across R.(c) Plot the current waveforms for t: 0 to t = 200 ms.
- IN THE CIRCUIT SHOWN, CONSIDER THAT V1=20 VDC, R1=1000 Ω, R2=3000 Ω, R3=3500 Ω AND C=1 mF.DETERMINE:A) THE TIME IT TAKES FOR THE CAPACITOR TO REACH ITS FINAL VALUE (5T), WHEN SWITCH 2 (INT 2) IS IN POSITION A AND SWITCH 1 (INT 1) IS CLOSED AT t=0,B) THE ENERGY STORED BY THE CAPACITOR ONCE IT HAS BEEN FULLY CHARGED WITH THE SAME POSITION OF SWITCHES AS ITEM A)C) ONCE THE CAPACITOR HAS BEEN FULLY CHARGED WITH SWITCH 1 CLOSED, SWITCH 2 MOVES POSITION (GOES TO B) AT A NEW t=0. NOW DETERMINE THE VALUE OF THE VOLTAGE ON THE CAPACITOR AT t=3.5 SECONDSQ2. For the RL circuit, shown in figure (1), the switch has been in position “a” for a long time, before switching to position “b”, at t = 0. Find a) a time-expression for the current through the inductor, i(t), for t > 0, b) the values of v(0- ), v(0+ ), and v(∞), and c) the powers dissipated in the 3-Ω resistor, at t = 3 ms.2. 7.2 In the circuit shown the switch makes contact withposition b just before breaking contact with position a. This is known asa make-before-break switch and it ensures that the inductor current iscontinuous. The interval of time between “making” and “breaking” isassumed to be negligible. The switch has been in the a position for along time. At t=0 the switch is thrown from position a to position b.4. d) What percentage of the initial energy stored in the inductor isdissipated in the 90 Ω resistor 1 ms after the switch is thrown fromposition a to position b?
- The switch in the circuit below has been in position a for a long time. At time t = 0 the switch is thrown to position b. You are given the data: Vb = 24 V, C = 10 μF. Vc is the voltage across the capacitor. If the charge on the capacitor at time t =0.3 msec after the switch is thrown is 53.6 μC, what is the value of the resistor R? a) 40 Ω b) 0 Ω c) 20 Ω d) Not enough information.Given the circuit below with the switch closed for a long time, then opening at t=0, and with the values R1=129KΩ, R2=128KΩ, R3=103KΩ, calculate the time constant, τ, for the capacitor voltage solution for at t >0.The two parallel inductors shown are connected across the terminals of a black box at t=0. The resulting voltage v for t>0 is known to be 12e−t V. It is also known that i1(0)=2 A and i2(0)=4 A. a. Replace the original inductors with an equivalent inductor and find i(t) for t≥0. b. Find i1(t) for t≥0. c. Find i2(t) for t≥0. d. How much energy is delivered to the black box in the time interval 0≤t<∞? e. How much energy was initially stored in the parallel inductors? f. How much energy is trapped in the ideal inductors? g. Show that your solutions for i1 and i2 agree with the answer obtained in (f).
- A 150-volt electromotive force is applied to an RC-series circuit in which the resistance is 1500 ohm and the capacitance is 5 micro Farad (uF). If q(0)=0, find the charge and current at t=0.005 s. charge: q = micro Farad (uF) current: i = milli ampere (mA) Determine the charge as t approaches infinity. charge: q= micro Farad (uF)For the capacitor network shown in Figure(Q2a) above (which has reachedsteady state i.e. on for a very long time), calculate:i. The total capacitance, CT , for the entire networkii. The voltage across capacitor C2iii. The total charge stored across capacitor C2iv. The energy stored in capacitor C2The figure shows an electrical circuit with an ideal source ε1 = 12 [V], a real source ε2 = 9 [V] and r1 = 1 [Ω], eight resistors and two capacitors. Switches A and B areThey are originally open and the charge on the capacitors is zero. If at t = 0 [s] switch A opens and switch B closes, determine:d) The potential difference of resistor R8 at t = 2.6 [s].e) The time required for the potential difference of the equivalent capacitor to reach the maximum possible value. Justify your answer.