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Two closed loops $A$ and $C$ are close to a long wire carrying a current $I$ . (See Figure $21.55 . )$ Find the direction (clockwise or counterclockwise) of the current induced in each of these loops if $I$ is steadily increasing.
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Thus, the induced current in loop A moves counterclockwise.
Physics 102 Electricity and Magnetism
Current, Resistance, and Electromotive Force
Magnetic Field and Magnetic Forces
Sources of Magnetic field
Simon Fraser University
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.
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).
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for this problem, we have to closed loops A and C and these air next to a wire carrying current. Odd. Our goal is to find the direction of the induced currents and a and see if I is increasing. So to solve this problem, we're gonna need lenses law. And that states that the induced magnetic field is established to mitigate the change in net magnetic flux. So let's look at what the magnetic field is for this wire. We know that for a wire set up, we could use the right hand rule. So we point our thumb in the direction of the current. And the way that our fingers wrapped around the wire gives us the direction of the magnetic field at all points in space. So above the wire, our figures there are fingers air coming out of the page. So we have out of the page everywhere. And that's the noted by these little circle dots out of the page and then below, our fingers were going into the page into the page. We have our little exes. Now let's think about a So if the current is increasing, that means that its magnetic field is increasing in value at all points in space. So in the side A where the magnetic field is going into the page, an increasing current means that the magnetic field is growing in magnitude into the page. In order to mitigate that change and the growing flux into the page, we need an induced magnetic field that is pointing out of the page counter acting that growth in words. So drawing that with the green, we have the induced field out of the page now to determine the induced current. From this, we have another right hand rule, and that is point your thumb along the direction of the induced magnetic field in the direction that your fingers curl is the direction of the induced current. It's over here. We have a counterclockwise induced current and likewise for C. We have that increasing current, causing a growing magnitude be field coming out of the page this time. So to mitigate that change, we need an induced field that is pointing into the page. Here. I'll draw that with orange and using the same right hand rule that we used for a so point your thumb in the direction of the induced be field, which is down into the page, and the direction that your fingers curl is the direction of the induced field or the induced current. I mean, so that will be clockwise induce current, and that's everything we asked for.
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