Problem 6: An RL circuit is shown on the right. L2.4 H. R49 Ω.e7.5 VPart (a) Switch A is closed at t- 0. Express the current I in the circuit as a functionof time in terms of L, R, and ε.tRI(t)1-e L)Correct!Part (b) What's the direction of the current I, counterclockwise or clockwise'?CounterclockwiseCorrect!Part (c) Calculate the numerical value of 1 at t 0.1 s in amperes.Part (d) Calculate the numerical value of 1 at t-L/R s in amperes.A Part (e) Calculate the numerical value of I, in amperes, when t goes to infinityPart (f) After a long time, when the current reaches its steady value, open switch Aand close switch B at the same time. Count this moment as t-0. Express the current in thecircuit, I, as a function of time in terms of L, R, and e.-tRILV Correct!Part (g) Now what is the direction of the current I, counter-clockwise or clockwise?Counterclockwise. VCorrect!Part (h) Calculate the numerical value of 1 at t 0.1 s in amperes.Part (i) Calculate the numerical value of 1 at t-LR s in amperes.Part (j) Calculate current, in amperes, after an infinite time.▲Δ

When Switch A is closed and B is open, it is a simple RL circuit with a dc voltage source. Thus, the…

Answered: Problem 6: An RL circuit is shown on…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 85CP: A long solenoid with 10 turns per centimeter is placed inside a copper ring such that both objects...

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In an oscillating LC circuit the maximum charge on the capacitor is 2.0 × 10-6 C and the maximum current through the inductor is 8.0 mA. (a) What is the period of the oscillations? (b) How much time elapses between an instant when the capacitor is uncharged and the next instant when it is fully charged?
A long solenoid with 10 turns per centimeter is placed inside a copper ring such that both objects hove the same central axis. The radius of the ring is 10.0 cm. and the radius of the solenoid is 5.0 cm. (a) What is the emf induced in the ring when the current 2 through the solenoid is 5.0 A and changing at a rate of 100 A/s? (b) What is the emf induced in the ring when 1=2.0A and. dI/dt=100A/s ? (c) What is the electric field inside the ring for these two cases? id: Suppose the ring is moved so that its central axis and the central axis of the solenoid are still parallel but no longer coincide. (You should assume that the solenoid is still inside die ring.) New what is the emf induced in the ring? (el Can you calculate the electric field in die ring as you did in part (c)?
Consider the circuit in Figure P32.18, taking = 6.00 V, L = 8.00 mH, and R = 4.00 . (a) What is the inductive time constant of the circuit? (b) Calculate the current in the circuit 250 s after the switch is closed. (c) What is the value of the final steady-state current? (d) After what time interval does the current reach 80.0% of its maximum value?
A long, cylindrical solenoid with 100 turns per centimeter has a radius of 1.5 cm. (a) Neglecting end effects, that is the self-inductance per unit length of the solenoid? (b) If the current through the solenoid changes at the rate 5.0 AJs, what is the emf induced per unit length?
A transformer is used to supply a 12-V model train with power from a 110-V wall plug. The train operates at 50 W of power, (a) What is the rms current in the secondary coil of the transformer? (b) What is me rms current in the primary coil? (c) What is the ratio of the number of primary to secondary turns? (d) What is the resistance of the tram? (e) What is the resistance seen by the 110-V source?
A 75-turn, 10.0 cm diameter coil rotates at an angular velocity of 8.00 radius in a 1.25 T field, starting with the plane of the coil parallel to the field. (a) What is the peak emf? (b) At what time is the peak emf first reached? (c) At what time is the emf first at its meet negative? (d) What is the period of the AC voltage output?
In an oscillating RLC circuit with L = 10 mH, C = 1.5 F , and R = 2.0 , how much time elapses before the amplitude of the oscillations drops to half its initial value?
Two rectangular loops of wire lie in the same plane as shown in Figure OQ31.11. If the current I in the outer loop is counterclockwise and increases with time, what is true of the current induced in the inner loop? More than one statement may be correct, (a) It is zero, (b) It is clockwise, (c) It is counterclockwise, (d) Its magnitude depends on the dimensions of the loops, (e) Its direction depends on the dimensions of the loops.
In the LC circuit in Figure 33.11, the inductance is L = 19.8 mH and the capacitance is C = 19.6 mF. At some moment, UB = UE= 17.5 mJ. a. What is the maximum charge stored by the capacitor? b. What is the maximum current in the circuit? c. At t = 0, the capacitor is fully charged. Write an expression for the charge stored by the capacitor as a function of lime. d. Write an expression for the current as a function of time.
Your RL circuit has a characteristic time constant of 20.0 ns, and a resistance of 5.00 M (a) What is the inductance of the circuit? (b) What resistance would give you a 1.00 ns time constant, perhaps needed for quick response in an oscilloscope?
Show that Equation 32.28 in the text Ls Kirchhoffs loop rule as applied to the circuit in Figure P32.56 with the switch thrown to position b.
(a) A nonferrous screwdriver is being used in a 2.00 T magnetic field. What maximum emf can be induced along its 12.0 cm length when it moves at 6.00 m/s? (b) Is it likely that this emf will have any consequences or even be noticed?

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