A constant voltage of 12.00 V has been observed over a certain time interval across a 2.00 H inductor. The current through the inductor, measured as 3.00 A at the beginning of the time interval, was observed to increase at a constant rate to a value of 8.00 A at the end of the time interval. How long was this time interval?

A constant voltage of 12.00 V has been observed over a certain time interval across a 2.00 H inductor. The current through the inductor, measured as 3.00 A at the beginning of the time interval, was observed to increase at a constant rate to a value of 8.00 A at the end of the time interval. How long was this time interval?

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter31: Inductance

Section: Chapter Questions

Problem 2P

See similar textbooks

Similar questions

The current I(t) through a 5.0-mH inductor varies with time, as shown below. The resistance of the inductor is 5.0 . Calculate the voltage across the inductor at t = 2.0 ms, r = 4.0 ms, and t = 8.0 ms.
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?
A constant voltage of 7.00 V has been observed over a certain time interval across a 2.10 H inductor. The current through the inductor, measured as 2.00 A at the beginning of the time interval, was observed to increase at a constant rate to a value of 9.00 A at the end of the time interval. How long was this time interval?
A resistor and an inductor are connected in series to a battery with emf 240 V and negligible internal resistance. The circuit is completed at time t=0. At a later time t=T the current is 7.00 A and is increasing at a rate of 20.0 A/s. After a long time the current in the circuit is 15.0 A. What is the value of T , the time when the current is 7.00 A ?
A resistor and an inductor are connected in series to a battery with emf 240 V and negligible internal resistance. The circuit is completed at time t = 0. At a later time t = T the current is 5.00 A and is increasing at a rate of 20.0 A>s. After a long time the current in the circuit is 15.0 A. What is the value of T, the time when the current is 5.00 A?
Consider a 23 mH inductor that has a resistance of 4.15 Ω. Time constant is 0.00554. If the inductor is connected to a 12.0 V battery, what is the current, I, in amperes, after 12.5 ms?
A 1.25 H inductor in an RL circuit (with resistance 2.2 Ω) is initially fully charged. A switch is then thrown (between positions 1 and 2, see figure), which causes the inductor to discharge. The initial current through this discharging circuit is 4.95 A. How long will it take the current to decline to 25.00% of its initial value? Express this value in seconds.
An inductor with inductance 10.23 H and a resistor with resistance 3.24 ohms are connected in series to a battery with emf of 2V. At what time (s) is the current flowing in the circuit equal to 50% of the final steady state current ( I= Emf/R)?
A 6.0 V battery has been connected to an LR circuit for sufficient time so that a steady current flows through the resistor R=2.2kΩ and inductor L=18mH. At t=0, the battery is removed from the circuit and the current decays exponentially through R. Write the equation for the emf across the inductor as a function of time t. At what time is the emf greatest?
Problem 6: Consider a 27 mH inductor that has a resistance of 4.25 Ω. Part (a) What is the time constant, τ, of the inductor, in seconds? Part (b) If the inductor is connected to a 12.0 V battery, what is the current, I, in amperes, after 10.5 ms?
A 6.0 V battery has been connected to an LR circuit for sufficient time so that a steady current flows through the resistor R=2.2kΩ and inductor L=18mH. At t=0, the battery is removed from the circuit and the current decays exponentially through R. Write the equation for the emf across the inductor as a function of time t. At what time is the emf greatest? What is this maximum value (V)?
Consider a 22.5 mH inductor that has a resistance of 4.1 Ω. Part (a) What is the time constant, τ, of the inductor, in seconds? Part (b) If the inductor is connected to a 12.0 V battery, what is the current, I, in amperes, after 10.5 ms?