A single conducting loop of wire has an area of 7.2 ×10^-2 m^2 and a resistance of 110Ω. Perpend

Name: Problem 18, Chapter 23: Physics
Uploaded: 2020-06-13T18:28:49-08:00
Duration: 4 min 41 s
Channel: Sanjeev Kumar
Description: A single conducting loop of wire has an area of 7.2 ×10^-2 m^2 and a resistance of 110Ω. Perpendicular to the plane of the loop is a magnetic field of strength 0.88 T. At what rate (in T/s) must this field change if the induced current in the loop is to be 0.43 A ?

step 1 In a single conducting loop whose area is 7 .2 multiplied by 10 to power minus 2 meter square, t

Question

A single conducting loop of wire has an area of $7.2 \times 10^{-2} \mathrm{m}^{2}$ and a resistance of 110$\Omega .$ Perpendicular to the plane of the loop is a magnetic field of strength 0.88 T. At what rate (in $T/s$) must this field change if the induced current in the loop is to be 0.43 $\mathrm{A}$ ?

   A single conducting loop of wire has an area of $7.2 \times 10^{-2} \mathrm{m}^{2}$ and a resistance of 110$\Omega .$ Perpendicular to the plane of the loop is a magnetic field of strength 0.88 T. At what rate (in $T/s$) must this field change if the induced current in the loop is to be 0.43 $\mathrm{A}$ ?

Physics

James S. Walker 5th Edition

Chapter 23, Problem 18

Instant Answer

Solved by Expert Sanjeev Kumar

06/13/2020

Step 1

Mathematically, it is given by: \[ \epsilon = -N \frac{\Delta \Phi}{\Delta t} \] where $ \epsilon $ is the induced EMF, $ N $ is the number of turns in the loop, $ \Delta \Phi $ is the change in magnetic flux, and $ \Delta t $ is the change in time. Since Show more…

Show all steps

Thanks for your feedback!

A single conducting loop of wire has an area of $7.2 \times 10^{-2} \mathrm{m}^{2}$ and a resistance of 110$\Omega .$ Perpendicular to the plane of the loop is a magnetic field of strength 0.88 T. At what rate (in $T/s$) must this field change if the induced current in the loop is to be 0.43 $\mathrm{A}$ ?

Play audio

Feedback

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Faraday's Law of Induction

This law explains that a changing magnetic flux through a loop induces an electromotive force (emf) in that loop. It establishes a quantitative relationship where the induced emf is equal to the negative rate of change of magnetic flux, which is fundamental in analyzing and understanding electromagnetic induction phenomena.

Magnetic Flux

Magnetic flux measures the total magnetic field passing perpendicularly through a given area. It is calculated as the product of the magnetic field strength and the area, and variations in this flux over time are what lead to the induction of an emf in a conducting loop.

Ohm's Law

Ohm's Law relates the current flowing through a conductor to the voltage across it and the resistance of the conductor. When an emf is induced in a loop, Ohm's Law enables the determination of the resulting current by dividing the emf by the loop's resistance, thereby linking the concepts of induced voltage and current flow.

Please give Ace some feedback