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Electromagnetic Induction

1.) Okay I have this problems but I can't get the picture or show the picture so i will describe it. I have two loops or circles next to each other. The first loop is continuous and there are no breaks in the loop. So it looks just like a circle. The second loop has a break in it and it also has a emf or power supply then it is a break in the circle or loop (like an open gate) then the loop continues. The current is flowing from positive to negative in a clockwise motion.

Here is the question:

Suppose you are looking at two loops in the plane of the page as shown. When the switch is thrown closed in the left hand coil, what is: a) the direction of the induced current in the other loop; b) the situation after a "long" time; c) the direction of induced current in the second loop if the second loop is quickly pulled horizontally to the right?

2.) What is the inductive reactance? (write down an expression and specify it units)

Okay i know that it is xL=wL and the units are ohms but please explain how do you derive this! and explain what it is use for!

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Step by step solution provided.