A cmcm square loop of wire lies in the -plane with its bottom edge on the -axis. The resistance of the loop is. A magnetic field parallel to the -axis is given by, where is in tesla, in meters, and in seconds. What is the size of the induced current in the loop at ?
Size of Induced current at loop,
A induced current when a wire coil is put in a changing flux. Something creates an electrical field that causes current to flow by moving the costs around the wire.
The force field in terms of your time within the form
We apply Ohm's law to calculate the induced current across the loop, as illustrated in the following equation.
Where is that the induced emf within the loop. From Faraday's law, the induced emf is that the change of the magnetic flux inside the loop and it's given by the equation
Where is the flux through the loop which is that the amount of magnetic fiux that flows through a loop of area and it's given by
use this expression of into equation to induce by
By using expression of and into equation to induce by
are going to be the side of the square loop . The area of the loop is
plug the values for and into equation (3) to get
You’ve decided to make the magnetic projectile launcher shown in FIGURE for your science project. An aluminum bar of length slides along metal rails through a magnetic field The switch closes at , while the bar is at rest, and a battery of emf starts a current flowing around the loop. The battery has internal resistance r. The resistances of the rails and the bar are effectively zero.
a. Show that the bar reaches a terminal speed , and find an expression for .
b. Evaluate for and
94% of StudySmarter users get better grades.Sign up for free