The current through inductance L is given by I = Io et/r. ▼ Part A Find an expression for the potential difference AVL across the inductor. Express your answer in terms of some, all, or none of the variables L, T, t, and the constante.

The current through inductance L is given by I = Io et/r. ▼ Part A Find an expression for the potential difference AVL across the inductor. Express your answer in terms of some, all, or none of the variables L, T, t, and the constante.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter14: Inductance

Section: Chapter Questions

Problem 45P: What is the self-inductance per meter of a coaxial cable whose inner radius is 0.50 mm and whose...

See similar textbooks

Related questions

Q: A boat at anchor is rocked by waves whose crests are 26 m apan and whose speed is 7 m/s. a) What is…

A: Given data: Distance between two successive crests = 26 m Speed (v) = 7 m/s Required: The frequency…

Q: Two people start at the same place and walk around a circular lake in opposite directions. One has…

Q: Your dorm has an amateur hour every Friday night. Since you have a tremendous lung capacity, you…

Q: 3. Determine the kinetic energy of a 625 kg roller coaster car that is moving with a speed of 18.3…

Q: The students use a force sensor and a motion sensor to measure the acceleration of the object when a…

Q: For the situation in the figure below, use momentum conservation to determine (a) the magnitude and…

A: Final velocity of m2 is 0.7 m/s Direction 140(anti-clock wise of positive x direction)

Q: 20.0° above the The e system person vonage is at an angle cable is attached to the bridge 5.00 m…

A: Given: θ=20.0od=1.00 ml=7.09 mh=12.0 m Mass of the bridge is M=1960 kg distance of cable…

Q: When two lenses are used in combination, the first one forms an image that then serves as the object…

Q: The four masses shown in the diagram are connected by massless, rigid rods. The mass of the A…

Q: Oil (SG = 0.88) flows steadily in an inclined pipe at a rate of 7 ft3/s, as shown in the figure…

Q: A stone is thrown from the top of a tower 15m above ground level at time t = 0. At the instant of…

A: An object is thrown from a height of 15 m above the ground at t=0. The x-component of velocity is…

Q: A 2,646 mile flight headed west experienced a tailwind and made the trip in 6 hrs. The same return…

Q: A 185-kg object and a 485-kg object are separated by 4.40 m. (a) Find the magnitude of the net…

A: A) Net force =1.53×10-7 N(towards 485 kg object) B) 3.18 m

Q: An infinitely long cylindrical medium of radius a (m) contains electric charges. The charges are…

A: a) The total charge over the length of 1 (m) is Q=pa. This is because the charge density is p (C/m3)…

Q: A 0.200-kg object is attached to the end of a 57.0-N/m spring. It is displaced 10.0 cm to the right…

A: Time period of the motion is 0.372 S

Q: A drone is flying north at 80 m/s. It makes a gradual turn maintaining a constant speed. 20 s later…

A: Initial direction of speed is along North Final direction of speed is along east. Acceleration is…

Q: A steel bolt on a wheel is rotating at 5.00 cycles/s. This bolt is 0.200 m from the axis (centre of…

A: Given data- A steel bolt on a wheel is rotating at 5.00 cycles/s. so angular velocity- ω=5cycless×2π…

Q: An electron is accelerated from rest through a potential difference that has a magnitude of 2.90 x…

Q: A 4.00kg ball hits a wall moving at a speed of 9.0m/s at and angel of 45.0 degrees. If the wall does…

Q: The charger for your electronic devices is a transformer. Suppose a 60 Hz outlet voltage of 120 V…

Q: ▼ Part A How much energy is stored in a 2.60-cm-diameter, 14.0-cm-long solenoid that has 190 turns…

Q: What is the primary source of erosion on the Moon? Why does change take so long there compared to…

A: The moon's erosion differs from earth's erosion as the moon has no atmosphere.The moon primary…

Q: The mass of particle 1 is 11kg. The initial velocity for particle 1 is (-104m/s)i + (216m/s)j. F21…

A: Given informationF21=Fxe-tTi+Fysin(2πtT)j (1)where Fx=16.8 NFy=-106 NT=100sprocess…

Q: A car is travelling on an unbanked curve (flat). Friction is not negligeable. What force keeps the…

A: Solution: Given that A car is traveling on an unbanked curve . friction is not negligible As we…

Q: To what temperature must a gas initially at 0°C and atmospheric pressure be heated if its volume…

Q: How are the absolute value of an imaginary number, the magnitude of a force, and the distance…

A: Solution: We have these are positive real numbers representing a size, which can only be positive.…

Q: A point charge of q1 = 4.13 μC is located at x₁ = 0.000 m and a second charge of 92 = -1.26 µC is…

Q: In an antique miniature pocket watch, the second hand (the one that counts the seconds) moves in a…

A: Given data : Length of second hand, r=0.45cm=0.45×10-2m Time taken to complete one revolution, T=60s

Q: A.) An airplane acquires a take off velocity of 150 mph on a 2 mile runway. If the plane started…

Q: The magnetic field in the figure is decreasing at the rate 0.2 T/s. (Figure 1) You may want to…

Q: A parallel‑plate capacitor has square plates that have an edge length equal to 9.00×102 cm and are…

Q: A tightrope walker more easily balances on a tight wire if her pole Group of answer choices is held…

A: A tightrope walker more easily balances on a tight wire if her pole droops.

Q: 3.40 m long , 635 kg steel beam extends horizontally from the point where it has been bolted to the…

Q: 3. A bat strikes a 0.145 kg baseball. Just before impact, the ball is traveling horizontally to the…

A: a) Horizontal component of impulse=12.33 N.S Vertical components of impulse=3.77 N.S…

Q: A 1,380-N crate is being pushed across a level floor at a constant speed by a force of 390 N at an…

A: Given:- The weight of the crate is mg = 1380 N The force that applied on the creat is F = 390 N at…

Q: 4. Why do astronauts in orbit seem to float?

Q: For an object moving in a horizontal straight line: its displacement function is given by s(t)= 3t3…

Q: Calculate the mass of a solid gold rectangular bar that has dimensions /wh = 5.10 cm x 15.0 cm x…

Q: Define mass in your own words. Define weight in your own words. Explain what would happen…

Q: A batter hits a baseball m = 0.48 kg from rest with a force of F = 88 N, The ball is in contact with…

Q: True or false fusion takes a massive amount of energy to get the nuclear reaction started

Q: Assume that the origin goes through the place marked in the diagram. The three masses are connected…

Q: What are the wavelengths of electromagnetic wave in free space that have the following frequencies?…

Q: 5.107 A small bead slide without friction on a circu- lar hoop that is in a vertical plane and has a…

A: Given:- A small bead can slide without friction on the circular hoop The circular hoop is in a…

Q: Hey boy steps off a dock onto a rowboat if the boys foot applies 20 N Of force against the dock how…

A: Given data: The force applied by boys foot on the dock (F) = 20 N Required: The force applied by…

Q: A dragster starts from rest and accelerates down a track. Each tire has a radius of 0.320 m and…

Q: solve the Schrödinger equation for a potential barrier, Consider the cases E>Vo to determine R and T

Q: A particle has a lifetime, as measured in its own reference frame, of 0.42 µs. It propagates at a…

Q: A 5-kg disc A is connected to a pin at O by an extensible cord of length 2.00 m. The disc is resting…

A: Impules: In physics, the term "impulse" is used to characterise or measure the impact of force…

Q: y m k m X Consider the above system of two blocks connected by massless frictionless pulley and…

A: Since gravity, spring force are conservative force field, so yes energy will be conserved Along x…

Concept explainers

Voltage Across Inductor

An actor is a passive electrical component that consists of a coil bent in the form of wire which uses electromagnetism to produce electric current through the coil. When the electric current flows through a conductor that is the coil, a magnetic flux is developed around the conductor. This flow of current through the coil creates a magnetic field based on Fleming's Right-hand thumb rule. If there is any decrease in the current passing through the inductor, then the magnetic field will also decrease and energy is released through the generation of electric current. There is also a secondary voltage inducing in the same coil due to the magnetic flux, since it opposes any changes in the electric current flowing through the circuit. An inductor is also called choke, coil, or solenoid. A choke is designed to block certain frequencies when the DC current passes. A winding coil is coated with insulation to give extra insulation and protect the circuit. They are usually tightly wrapped around a central core which is cylindrical in nature so that the magnetic flux can be induced. The solenoid is a three-dimension coil that is used to exhibit electromagnetism when the magnetic field is developed due to the current flowing through the coil. The sign convention of the inductor is the same as the power dissipating device. When the current flows into the positive side of the voltage across the inductor, the value is positive and the inductor dissipates power whereas when the inductor releases the power back to the circuit, the current has a negative sign convention. 

Question

The current through inductance L is given by I = Io e-t/r.
Part A
Find an expression for the potential difference AVL across the inductor.
Express your answer in terms of some, all, or none of the variables L, T, t, and the constant e.
AVL =
Submit
ΠΕΙ ΑΣΦ
Request Answer
?

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 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

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 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?
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?
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?
At s1iat frequency is the reactance of a 20F capacitor equal to that of a 10-mH inductor?
Ri iny R2 An inductor with inductance L 0.2 H and negligible resistance is connected to a battery, a switch S, and two resistors, R, : figure. The battery has emf 80 V and negligible intemal resistance. Sis closed at t = 0. What is the value oft for which iz has one third of the final value that it can obtain after switch S has been closed for a long time? = 15 N and R2 = 10 N as seen in A) 13.51 ms B) 23.65 us C) 121.63 us D) 4.86 ms E) 7.29 ms
ANSWERS ASK YO max For the circuit shown in the figure below, AV, = 77.0 V, w = 65.0π rad/s, and L = 70.0 mH. Calculate the current in the inductor at t = 13.0 ms. 5.38 X Recall that the potential difference across the inductor is proportional to the rate of change of the current. A AVmax sin wot L eee
In the following transformer circuit VSource=12.0volts, RSource=4, the number of turn on the left-handside is 100 and on the right-handside is 800. RLis 700. a.Find the voltage across RL
Two resistors of resistance R1and R2 are placed in series across a battery with voltage V, such that a current I=V/(R1+R2) flows around the circuit. If a coil with inductance L is then placed inparallel withR1, what is the new currentIa long time after the coil has been added? Give your final answer.
For physics lab, two students constructed an RL circuit similar to the one shown in the figure, with = 6.00 V, L = 5.40 mH, and R = 8.00 Q. S R ele L (a) What is the inductive time constant of the circuit (in ms)? 0.065 X Apply the definition of the inductive time constant. ms ms (b) Calculate the current in the circuit (in A) 250 µs after the switch is closed. A (c) What is the value of the final steady-state current (in A)? A (d) After what time interval (in ms) does the current reach 80.0% of its maximum value?
6.43 The current in an 80-mH inductor increases from 0to 60 mA. How much energy is stored in theinductor?..
W h um EL R2 mu Consider the LR circuit shown in the figure above: R₁=6.00 Ohms R₂=13.50 Ohms L=46.00 mH The battery voltage = 10.00 Volts a) If the switch has been closed for a long time, what is the voltage across the inductor? b) If the switch has been closed for a long time, what is the current through resistor R₁? Volts O Depends on how long the switch was closed O Right to left O Left to Right Amps c) If you open the switch, after it has been closed for a long time, what is the voltage across resistor R₂ immediately after you open the switch? d) Immediately after opening the switch, after it has been closed for a long time, the current through resistor R₂ flows: o There is no current through R2 after opening the switch Volts