The battery terminal voltage in the figure below is &= 6.90 V and the current I reaches half its maximum value of 4.00 A at t= 0.160 s after the switch is closed.
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- You are a journeyman electrician working in an industrial plant. Your task is to connect an inductor to a 480-V, 60-Hz line. To determine the proper conductor and fuse size for this installation, you need to know the amount of current the inductor will draw from the line. The nameplate on the inductor indicates that it has an inductance of 0.1 H. An ohmmeter reveals that it has a wire resistance of 10 . How much current should this inductor draw when connected to the line?The distance between the parallel two plates is 4d, the area of the parallel plates is A / 2 andif the energy stored in the system is 2W, the potential difference between the plates is W andFind in C (capacitance)?1. Theoretically calculate the voltage across the capacitor in the circuit of Figure 1 when t = 0 s, 5 s, 10 s, 20 s, 30 s, 40 s, and 60 s, assuming that the circuit is under DC conditions when t < 0 s and the switch is opened at t = 0 s. 2. Compare the calculated voltage at t = 20 s with the experimentally measured ∆?.
- A 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.The capacitor 3000 µF has initially no charge at (t=0) the switch (SW) is applied to position (A)shown in Figure 3. After 100 ms, the switch in change to position (B), find vC(t) and iC(t)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., ?=∞).
- 7. 7.27 In the circuit the voltage and current expressions are v=48e−25t V, t≥0;i=12e−25t mA, t≥0+.Find1. a) R.2. b) C.3. c) τ (in milliseconds).4. d) the initial energy stored in the capacitor.5. e) the amount of energy that has been dissipated by the resistor 60ms after the voltage begins to decay.The circuit shown in the attached image contains a voltage source with emf ε = 2.99 V, a resistor with resistance R = 135 kΩ, and a capacitor with capacitance C = 612 nF. When switch S is set to position a, the three circuit elements are in series. When the switch is in position b, the battery is excluded from the circuit. The switch is initially moved to position a, where it remains for a sufficiently long time that the capacitor is fully charged. The switch is now moved to position b. What is the magnitude of the instantaneous current, in amperes, through the resistor the instant the switch makes contact with terminal b? With time meausred the instant that switch S is closed in position b, calculate the time, in seconds, when the charge on the capacitor is one-half of its maximum value. Calculate the current through the resistor, in amperes, at time t = 155.5 ms after the switch is closed in 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.
- The terminal voltage of a 2-H inductor is v = 10(1 – t ) V. Find the current flowing through it at t = 4s and the energy stored in it at t = 4 s. Assume i(0) = 2 A.i. How can four 100 kΩ resistors be connected so that the equivalent resistance of the four equals 250 kΩ? Sketch the arrangement, describe the resistor arrangement in words, and justify your picture by calculating the equivalent resistance. ii. Repeat part i. above with four 100 F capacitors and an equivalent capacitance of 75 F.Capacitance= 4uF , Hence time constant is 5.33μs For the capacity value, calculate the estimated time to come to the final state.Plot capacitor current and voltage graphs and show if it works in harmony with the time constant you calculated. NOTE: if you want you can use falstad online circuit simulator.