A 35.0 V battery with negligible internal resistance, a 50.02 resistor, and a 1.25 mH inductor with negligible resistance are all connected in series with an open switch. The switch is suddenly closed. a) How long after closing the switch will the current through the inductor reach one- half of its maximum value? b) How long after closing the switch will the energy stored in the inductor reach one- half of its maximum value?

A 35.0 V battery with negligible internal resistance, a 50.02 resistor, and a 1.25 mH inductor with negligible resistance are all connected in series with an open switch. The switch is suddenly closed. a) How long after closing the switch will the current through the inductor reach one- half of its maximum value? b) How long after closing the switch will the energy stored in the inductor reach one- half of its maximum value?

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)...

See similar textbooks

Related questions

Q: A 12.0 V battery is connected into a series circuit containing a 12.0 2 resistor and a 2.50 H…

A: Step 1:Determine the given variables:The supplied voltage is V=12VThe resistance is R=12ΩThe…

Q: A 24-V battery is connected in series with a resistor and an inductor, with R = 7.8 2 and L = 7.0 H,…

A: Voltage of Battery (V)=24 V Resistance (R)= 7.8 Ω Inductor (L)=7.0 H

Q: A battery is connected in series with an R = 3.50-2 resistor and an L = 0.520-H inductor, as in the…

Q: A 3.7 mH inductor is initially connected to a 4.6 V battery att=0 through a 3.0 Q resistor. Once the…

A: Given that, The inductance of an inductor (L) = 3.7 mH. Supply voltage (ε) = 4.6 V. Resistance (R) =…

Q: In the circuit shown in the figure the coil has an inductance L = 0.35 H and a resistance of 23 Ω.…

Q: A 3.7 mH inductor is initially connected to a 4.6 V battery at t = 0 through a 3.0 Ω resistor. Once…

A: Given: Inductance of an inductor (L) = 3.7 mH. Supply voltage (ε) = 4.6 V. Resistance (R) = 3.0 Ω.…

Q: The current I flowing rightward through inductor L is at a steady rate of 0.1280 A/s. The magnitude…

A: GivenThe steady rate of flow of current ,dIdt=0.1280 A/sεL=0.0160 V

Q: At time t-0, the switch is closed. What is the current thru the inductor L after a long time? O 3.0A…

Q: The figure below shows a circuit consisting of a 12.0 V battery in series with an inductor with…

A: Given data: Potential difference, V=12.0 V Inductance, L=12.5 H Resistance, R=2.0 Ω

Q: When the 20.0 A current through an inductor is turned off in 1.50 ms, an 800 V emf is induced,…

Q: Consider an LR circuit that consists of a 29.0 mH inductor, a 9.00 Ω resistor, a 24.0 V battery, and…

Q: In the figure you have a RL circuit with direct current. All resistors have resistance 40.0 £2, the…

A: Calculate the current in the resistor R2At t = 0, L and R3 does not allow current,current through R2…

Q: A 24.0-V battery is connected in series with a resistor and an inductor, with R = 2.60 2 and L =…

Q: In circuit below, a long time after the switch is closed (i.e. battery is connected in the circuit),…

A: Step 1: Step 2: Step 3: Step 4:

Q: Inductor 1 stores the same amount of energy as inductor 2, although its inductance is only half the…

Q: In the figure below, a 13.0 V ideal battery, a 23.302 resistor, and an inductor are connected by a…

Q: n the circuit shown in the figure the coil has an inductance L = 0.33 H and a resistance of 21 Ω .…

Q: An inductor used in a de power supply has an inductance of 12.0 H and a resistance of 180 ohms. It…

A: Here inductance = L = 12.0 H resistance = R =180 ohms. current = I = 0.50 A. We have to calculate…

Q: A circuit contains a battery, a switch, an inductor, and a resistor. The circuit starts at the…

A: (a) Imax= 3.2 A (b) Time constant = 1.533 (c) t= 4.58 seconds

Q: ANSWERS ASK YO max For the circuit shown in the figure below, AV, = 77.0 V, w = 65.0π rad/s, and L =…

Q: In the circuit, the capacitor is fully charged when switch S is closed. Calculate the time needed…

A: Given data,

Q: A 7.2-mH inductor is connected to a current. What is the magnitude of the voltage in the inductor at…

A: The inductance of the inductor, L =7.2 mH Current through the inductance circuit, I(t) = 5+7t-2t2…

Q: A 1.65 H inductor in an RL circuit (with resistance 1.8 Ω) is initially carrying a current of 4.95…

A: Given that:- Inductance of inductor=L=1.65H

Q: A 12-V battery is connected in series with a resistor and an inductor, with R = 10 Q and L = 20.0 H,…

A: Given, Battery, V = 12 VInductor, L = 20.0 HResistor, R = 10 Ω

Q: The voltage across an inductor is proportional to the inductor and the derivative of the current…

A: As we know that, Voltage across Inductor is given by :…

Q: A 24-V battery is connected in series with a resistor and an inductor, with R = 3.0 Ω and L = 2.4 H,…

Q: An inductor L = 0.025 H and a 40 Ω resistor are connected in series to a 5 volt battery and a…

A: Given data: L=0.025 H R=40 Ω V=5.0 Volt

Q: A 24-V battery is connected in series with a resistor and an inductor, with R = 7.4 and L = 6.2 H,…

Q: Calculate the current as time approaches infinity. Imax %3D Calculate the current at a time of 1.85…

A: Since you have posted a question with multiple subparts we will solve the three subparts posted in…

Q: An inductor of L = 6.95 H with negligible resistance is placed in series with a 8 = 15.7 V battery,…

Q: A 365 pF capacitor is charged to 115 V and then quickly connected to a 225 mH inductor. Determine…

Q: A 10-V battery has been connected to an LR circuit for sufficient time so that a steady current…

A: a) To determine the emf across the inductor as the current decays, we can use the equation for the…

Concept explainers

Electromagnets

The word "electromagnet" is composed of two words, ‘electro’ and ‘magnet’. It is a type of magnet in which an electric current helps in the generation of a magnetic field. Electromagnets usually consist of two major parts, wire and a coil around which the wire is wound. This is called a solenoid. When an electric current is allowed to pass through the coiled wire, the electric current produces a magnetic field. This magnetic field is present only when current is passing through the wire.

Question

A 35.0 V battery with negligible internal resistance, a 50.02 resistor, and a 1.25 mH
inductor with negligible resistance are all connected in series with an open switch. The
switch is suddenly closed.
a) How long after closing the switch will the current through the inductor reach one-
half of its maximum value?
b) How long after closing the switch will the energy stored in the inductor reach one-
half of its maximum value?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: Calculation for time constant of an RL circuit.

VIEW

Step 3: Calculation for time in which current through the inductor reach one-half of its maximum value.

VIEW

Step 4: Calculation for time in which energy stored in inductor reach one-half of its maximum value.

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 33 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

What is the steady state value of the magnetic energy stored in the inductor?
A 3.7 mH inductor is initially connected to a 4.6 V battery at t 0 through a 3.0 Q resistor. Once the inductor is fully energized, the battery is removed and the 3.0 Q resistor is connected between the two terminals of the inductor. Find the current flowing through the resistor 18.0 usec after the inductor begins to be de-energized.
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
#H
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
A 17.0 μF capacitor is charged by a 130.0 V power supply, then disconnected from the power and connected in series with a 0.280 mH inductor. Calculate the energy stored in the inductor at t = 1.30 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)?
Help A V = 86-V source is connected in series with an R = 1.8-kΩ resistor and an L = 28-H inductor and the current is allowed to reach maximum. At time t = 0 a switch is thrown that disconnects the voltage source, but leaves the resistor and the inductor connected in their own circuit. After the current decreases to 53 % of its maximum value, the battery is reconnected into the circuit by reversing the switch. 1) At what value of the time t, in milliseconds, does the current reach 77 % of its maximum? 2) How much energy, in millijoules, is supplied in total by the battery, both in initially bringing the current to maximum and in bringing the current back to the 77 % level from 53 %? Ignore energy dissipated in the resistor during those processes.
A 19.0 mH inductor, an 6.00 Ω resistor, and a 9.00 V battery are connected in series. The switch is closed at t = 0. ( h) What is the maximum energy stored in the inductor?
A 12.0 V battery is connected into a series circuit containing a 12.02 resistor and a 2.50 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. b 41 (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?
A 35.0 V battery with negligible internal resistance, a 50.0 Ohm resistor, and a 1.25 mH inductor with negligible resistance are all connected in series with an open switch. The switch is suddenly closed. How long after closing the switch will the current through the inductor reach one-half of its maximum value? How long after closing the switch will the energy stored in the inductior reach one-half of its maximum value?