In the circuit of the figure below, the switch S has been open for a long time. It i then suddenly closed. Take & = 10.0 V, R₁ = 41.0 k2, R₂ = 175 k2, and C= 15.0- Let the switch be closed at t = 0. Determine the current in the switch when one- constant has elapsed. R₁ B R
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- In the circuit shown, let Eo= 10[V], R = 3[Ω], and L =0.6[H]. The switch is closed at time t = 0. From time t = 0 to t = L/R. (a) Find the total energy that has been supplied by the battery. and b) Calculate the total energy that has been dissipated in the resistor, and (c) Determine the energy that has been stored in the inductor. (Hint: Find the rates as functions of time and integrate from t= 0 to t = L/R.)The switch in the circuit in Fig. 2 has been in the left position for a long time. At t=0 it moves tothe right position and stays there.a. Write the expression for the capacitor voltage ?(?), for ? ≥ 0.b. Write the expression for the current through the 50 kΩ resistor, ?(?), for ? ≥ 0+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.
- 2. 7.36 PSPICEMULTISIM The switch in the circuit shown has been in position a for a long time. At t=0, the switch movesinstantaneously to position b.1. a) Find the numerical expression for io(t) when t≥0.2. b) Find the numerical expression for vo(t) for t≥0+Another circuit produces two potentials; R(t) and S(t), both potentials can be expressed as functions oftime as follows: �(�) = �! sin(��) �����(�) = �" sin(�� + �) ����where:�! = 5 �����" = 5 ����� = 15 ���/�� = −1 − [5 × log!#(1 + last two digits of your student number)] ���(2-a) Use the formulas to analytically calculate the time displacement between R(t) and S(t). Whichsignal is leading the other, and why?(2-b) Plot two full cycles of both functions (versus time) then locate points to validate your findingsfrom part (2-a). note : last two digits of your student number = 20The switch in the circuit shown has been in position a for a long time. At t=0, the switch is moved toposition b, where it remains for 1 ms. The switch is then moved toposition c, where it remains indefinitely. Find 1. a) i(0+).2. b) i(200 μs).3. c) i(6 ms).4. d) v(1−1 ms).5. e) v(1+ ms
- In the circuit shown, the switch is inthe closed position for a long timebefore it opens at time ? = 0.A. Find the differentialequation satisfied by the outputvoltage, v0(t) for t> 0. B. the initial conditions for this circuit are: v0(0+) = 0 and dv0/dt(0+) =−30,000 V/s. .findv0(t) for t > 0.13. 7.33 The switch in the circuit has been in position a for along time and v2=0 V. At t=0, the switch is thrown to position b.Calculate 1. a) i, v1, and v2 for t≥0+,2. b) the energy stored in the 1 μF capacitor at t=0, and3. c) the energy trapped in the circuit and the total energy dissipatedin the 25 kΩ resistor if the switch remains in position b indefinitelyA circuit with a supply voltage of 2.5 V is being powered through a package. The packagehas a resistance of 100 m and a certain inductance L. The circuit requires at least 2.25 Vto function correctly. If this voltage is required in a time of 1ns, calculate the effectiveinductance L for the package.
- 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?Show the complete solution. 25. How many time constants one should wait for the current in an RL circuit to grow within 0.1% of its steady state value? Answer: 6.9 26. A coll of inductance 5 H and resistance 100 ohms carries a steady current of 2 A. Calculate the initial rate of fall of current in the coll after a short circuiting switch is connected across its terminals has been suddenly closed. Answer: -40 A/sThe circuit was in DC steady state for t < 0. At t = 0, the switch is opened instantly. The remaining circuit quantities may change instantaneously as required by Kirchhoff's rules. Calculate I1 ,I2 and I3 in amps immediately after the switch ( t = 0 +), in that order. (All currents in this and the following two should be positive.) Finally, calculate Q in uC.