In the figure below, after switch S is closed at time t =O, the emf of the source is automatically adjusted tomaintain a constant current i = 1.28 A through S. (a)Find the current through the inductor at time t = 23TL. (b) What is the time when the current through theresistor equal to the current through the inductor(assume that TL = 3.7 s)?(a) Number(b) NumberSConstantcurrentsourceRHiᎥwwwUnitseeeeeUnits<><>>

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Answered: In the figure below, after switch S is…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A 24.0-V battery is connected in series with a resistor and an inductor, with R = 8.20 Ω and L = 2.00 H, respectively. (a) Find the energy stored in the inductor when the current reaches its maximum value in J. (b) Find the energy stored in the inductor at an instant that is a time interval of one time constant after the switch is closed in J.
A loop of wire has a self-inductance of 5.5 mH. You pass a current of 9.0 Amps though the loop, and then drop the current to 0 at a contastant rate over 3.5 seconds. What is the EMF generated?
ℇ = 100 V, R = 20.0 Ω, and L = 100.0 mH. The switch is closed att = 0. (a) What is the time constant of the circuit shown below? (b) Find the currentat t = 0.050 sec, (c) at what time the current is 40% of its maximum value?
A 24-V battery is connected in series with a resistor and an inductor, with R = 6.8 Ω and L = 5.4 H, respectively. (a) Find the energy stored in the inductor when the current reaches its maximum value. J(b) Find the energy stored in the inductor one time constant after the switch is closed. J
After being closed for a long time, the switch S in the circuit shown in the figure below is thrown open at t = 0. In the circuit, E = 24.0 V, R = 4.50 kO, Rg = 6.80 k2, and L = 570 mH. RA S ③ roo b a ww RB (a) What is the emf across the inductor immediately after the switch is opened? V (b) When does the current in the resistor Rg have a magnitude of 1.00 mA? S
After being closed for a long time, the switch S in the circuit shown in the figure below is thrown open at t = 0. In the circuit, & = 24.0 V, RA= 3.70 KM, Rß = 7.50 kỵ, and L = 665 mH. RA ww S mo L +1 b ww RB (a) What is the emf across the inductor immediately after the switch is opened? V (b) When does the current in the resistor RÅ have a magnitude of 1.00 mA? S
A 12.0 V battery is connected into a series circuit containing a 20.0 resistor and a 1.50 H inductor. (a) In what time interval (in s) will the current reach 50.0% of its final value? S (b) In what time interval (in s) will the current reach 90.0% of its final value? S What If? After a very long time, using a switch like that shown in the figure below, the battery is removed and the inductor is connected directly across the resistor. R Są ob ก ε ele (c) In what time interval (in s) will the current decrease to 50.0% of its initial value? S (d) In what time interval (in s) will the current decrease to 10.0% of its initial value? S
Consider the circuit shown in the figure below. Take E = 6.00 V, L = 7.92 mH, and R = 3.60 Ω. S + I R ww (a) What is the inductive time constant of the circuit? ms (b) Calculate the current in the circuit 250 us after the switch is closed. A (c) What is the value of the final steady-state current? A (d) How long does it take the current to reach 81.0% of its maximum value? ms
A battery providing emf V is connected in series to a resistor R and an inductor L, and left until the current reaches a constant value. (a) What is the energy stored in the inductor in terms of V, R and L? Then, at t = 0, the battery is suddenly removed, so that only the inductor and resistor are left connected to each other in a closed circuit. (b) Derive an expression for the energy stored in the inductor in the new circuit without the battery. Sketch your expression as a function of time. (c) How long does it take for the energy stored in the inductor to decay to 1/9 of the initial value that you found in part (a)?
A 24.0-V battery is connected in series with a resistor and an inductor, with R = 9.20N and L = 9.20 H, respectively. (a) Find the energy stored in the inductor when the current reaches its maximum value. (b) Find the energy stored in the inductor at an instant that is a time interval of one time constant after the switch is closed.
An inductor (L = 0.39 H) and two resistors (R, = R, = 5.5 N) are connected to a battery with an emf of 12.0 V as shown in the figure below. 12.0 V R1 S R2 (a) If the switch S is closed at time t = 0, determine the potential drop across the inductor at time t = 0.045 s. (Enter the magnitude.) V (b) After a steady state is reached, the switch is opened. What are the direction and magnitude of the current through R, at a time 0.045 s after the switch is opened?
Consider the circuit in the figure below, taking & = S + R ww ele 6.00 V, L = 7.20 mH, and R = 7.20 0. (a) What is the inductive time constant of the circuit? ms (b) Calculate the current in the circuit 250 µs after the switch is closed. A (c) What is the value of the final steady-state current? A (d) After what time interval does the current reach 80.0% of its maximum value? ms

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