In the circuit below, the switch has been in the open position for a long time. At t=0, the switch is turned on. If the current at time t=3.3 ms reaches half of its maximum value, L=68 mH, and ℰ=17 V, find: the time constant τ= ms, the resistance R= Ω, the maximum value of the current, Imax= A. If the switch is open again, after what time, the current will reach the half of its value? t1/2= ms.

In the circuit below, the switch has been in the open position for a long time. At t=0, the switch is turned on. If the current at time t=3.3 ms reaches half of its maximum value, L=68 mH, and ℰ=17 V, find: the time constant τ= ms, the resistance R= Ω, the maximum value of the current, Imax= A. If the switch is open again, after what time, the current will reach the half of its value? t1/2= ms.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 12OQ

See similar textbooks

Similar questions

Consider the RL circuit in the figure with R=10.00 Ω, L1=1.80 H, L2=3.90 H, and V=5.0 V. At time t=0, the switch is closed to connect the circuit to a constant emf. How long (in seconds) does it take for the current to reach a value of Imax/2.71828 of its maximum value, where Imax is the maximum current through the circuit?
In the figure below, R1 =10.0kΩ, R2 =15.0kΩ, C=0.40μF, and the ideal battery has an emf E=20.0V. First, the switch is closed until the system reaches steady state; then, the switch is opened at time t = 0 and the capacitor starts to discharge. What is the current in R2 at t = 3.00 ms?
In the circuit below, the switch has been in the open position for a long time. At t=0, the switch is turned on. If the current at time t=1.1 ms reaches 75% of its maximum value, R=25 Ω, and ℰ=15 V, find:the maximum value of the current, Imax= A.the time constant τ= ms,the inductance L= mH.If the switch is open again, after what time, the current will reach 25% of its value?t1/4= ms.
In the figure, R = 11.0 Ω, C = 6.82 μF, and L = 54.0 mH, and the ideal battery has emf = 32.0 V. The switch is kept in position a for a long time and then thrown to position b. What are the (a) frequency and (b) current amplitude of the resulting oscillations?
Consider a solenoid with a diameter 0.04 m, length 7.6 m, 55 turns, and total resistance 0.6 Ω. The solenoid is connected to a DC source so that a constant potential difference 9.7 V is created at the solenoid’s ends. Find the absolute value of the heat energy dissipated by the solenoid after it is disconnected from the DC source. Use the free space permeability μ0 = 4 π ×10−7 H/m = 1.257×10−6 H/m.
An electric current contains a battery that produces a voltage of 60 voltsV , a resistor with a resistance of 13 ohms, and inductor with an inductance of 5 henrys H  . Using calculus, it can be shown that I I t    (in amperes, A), when t seconds after the switch is closed is 13 5 60 1 13 t I e          1.4.1 Use this equation to express the time t as function of the currentI 
In the circuit of the figure, 1 =1.5 kV, C = 6.0 F, R1 = R2 = R3 = 0.82 M. With C completely uncharged, switch S is suddenly closed (at t = 0). At t = 0, what are (a) current i1 in resistor 1, (b) current i2 in resistor 2, and (c) current i3 in resistor 3? At t =  (that is, after many time constants), what are (d) i1, (e) i2, and (f) i3? What is the potential difference V2 across resistor 2 at (g) t = 0 and (h) t = 
In the circuit of the figure ℰ = 2.90 kV, C = 8.10 μF, R1 = R2 = R3 = 1.07 MΩ. With C completely uncharged, switch S is suddenly closed (at t = 0). At t = 0, what are (a) current i1 in resistor 1, (b) current i2 in resistor 2, and (c) current i3 in resistor 3? At t = ∞ (that is, after many time constants), what are (d)i1, (e)i2, and (f)i3? What is the potential difference V2 across resistor 2 at (g)t = 0 and (h)t = ∞?
The diameter of the inner conductor of a coaxial cable is 0.5 mm, the inner diameter of the outer conductor is 6 mm, the length is 50m. If the inner and outer conductors of the cable are combined at one end of the cable, the permeability of the insulating material is also 4 * π * 10 ^ (- 7) H / m, what will be the inductance of the cable?
In the circuit of the figure ℰ = 3.30 kV, C = 6.60 μF, R1 = R2 = R3 = 0.740 MΩ. With C completely uncharged, switch S is suddenly closed (at t = 0). At t = 0, what are (a) current i1 in resistor 1, (b) current i2 in resistor 2, and (c) current i3 in resistor 3? At t = ∞ (that is, after many time constants), what are (d)i1, (e)i2, and (f)i3? What is the potential difference V2 across resistor 2 at (g)t = 0 and (h)t = ∞? Answer parts d, e, and f please
At the instant a current of 0.20 A is flowing through a coil of wire, the energy stored in its magnetic field is 6.0 × 10-3 J. What is the self-inductance of the coil?
What is the self-inductance per meter of a coaxial cable whose inner radius is 0.50 mm and whose outer radius is 4.00 mm?