A copper wire loop is constructed so that its radius r can change. It is held near a solenoid that has a constant current through it.
a. Suppose that the radius of the loop were increasing. Use Lenz's law to explain why there would be an induced current through the wire. Indicate the direction of current.
b. Check your answer regarding the direction of the induced current by considering the magnetic force that is exerted on the charge in the wire of the loop.
c. Find the direction of the magnetic moment of the loop and the direction of force exerted on the loop by the solenoid.

Respuesta :

The top page will receive the current in the loop, and the bottom page will receive it out of the loop.

(a) Because B is constant and there is a constant magnetic Feld, we may recast the change in flux as shown above. Since A is positive, the loop will have a negative emf, which corresponds to an induced magnetic moment on the page that points to the left. The loop's current will flow into and out of the page in opposite directions. V=-Δφ/ Δt = -B·ΔA/ Δt

(b) Individual electrons in the wire loop can be imagined travelling radially outward as the loop's radius grows. We'll take into account one at the top of the loop (which is moving up the page). The Lorentz force Law is F=q(v)=qvB(yx)=-qvB.

(c) Circular orbits will emerge from constant forces pointing into the center of the loop (around the wire). We can tell we have positive current there since the force is pointing into the middle of the loop (into the page).

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