Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

The current in Figure. 21.57 obeys the equation $I e=I_{0} e^{-2 b t}$ , where $b>0 .$ Find the direction (clockwise or counterclockwise) of the current induced in the round coil for $t>0$ .

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

the current should flow in the clockwise direction.

Physics 102 Electricity and Magnetism

Chapter 21

Electromagnetic Induction

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Magnetic Field and Magnetic Forces

Sources of Magnetic field

Inductance

Alternating Current

Rutgers, The State University of New Jersey

University of Washington

Hope College

McMaster University

Lectures

03:27

Electromagnetic induction is the production of an electromotive force (emf) across a conductor due to its dynamic interaction with a magnetic field. Michael Faraday is generally credited with the discovery of electromagnetic induction in 1831.

08:42

In physics, a magnetic field is a vector field that describes the magnetic influence of electric currents and magnetic materials. The magnetic field at any given point is specified by both a direction and a magnitude (or strength); as such it is a vector field. The term is used for two distinct but closely related fields denoted by the symbols B and H, where H is measured in units of amperes per meter (usually in the cgs system of units) and B is measured in teslas (SI units).

05:27

The current in Fig. E29.18…

01:03

The current in $\textbf{Fi…

00:22

The current in Fig. 29.32 …

02:58

The current in Fig. E29. I…

04:01

The current in Figure 21.5…

01:24

What is direction of induc…

08:44

The current in the long, s…

00:21

The current $I$ in a long,…

09:59

Square Loop Three For the …

For the wire arrangement i…

But this problem we have a loop below a wire and not wires can current given by this exponential equation and B is greater than zero. Our goal is to find the direction of the induced current in our group. So because B is greater than zero, we have an exponential decrease in the current magnitude. Appear to draw that? To get an idea of what this looks like, we just have an exponential decrease. What does the magnetic field look like? That's corresponding to this wire, but we know that we have a right hand roll her wires. We put our thumb in the direction of the current and the way that our fingers wrapped around that wire tell us the orientation of our magnetic field at all points in space. So above this wire, our fingers air going into the page, so are the field is going into the page and below it our fingers air coming out of rage. And remember, out of the page we draw with this little circle about sure cool that now, in order to find out the direction of our induced current from this time varying current, we need to call in lens is locked. So lenders law tells us that the induced Byfield establishes itself to mitigate the change in the net flux met magnetic books. So with a decreasing current, we have a decreasing in the magnitude of the Byfield at all points in space. Inside this loop, a decreasing magnetic field means that there's less flux coming out of the page. In order to mitigate that change, we need to counter act that with some induced flux coming out of the page, meaning the Byfield must establish itself to be out of the page. I'm drawing that with a green circle dot So that is our B induced and just for clarity. All right, this is our be external from the wire. So what is the current corresponding to that be induced? Well, we have a different right, Andrew. For that, we point our thumb in the direction of the induced be field and the way that our fingers wrap around that factor is the way that are induced. Current is going here. You have a counter clockwise induced current

View More Answers From This Book

Find Another Textbook

01:52

Bong and Rodrigo are playing their slingshot, both of them shota peb…

02:45

A bicycle rider who travels 2 miles in 15 minutes has an averagespeed of…

02:59

Three vectors A = 2.4 at 30 degrees north of the East, B = 5.0at 20 degr…

01:30

An object is moving in a straight line according to x(t) = 9 cos(95 t)+ …

02:37

The two pith balls in Figure each have a mass of1.0 g and an equal char…

07:25

An object is at rest with three forces(F1, F2 andF3) acting on it. F…

01:29

The Intergovernmental Panel on Climate Change estimates thatGreenland is…

02:21

Problem3: A competitor in awinter sporting event pulls a 41 kg…

02:04

An asteroid has a diameter of 50 km and a mass of 2.5 x 10^16kg. It orbi…

01:50

A proton is fired from far away toward the nucleus of an ironatom. Iron …