The picture shows too identical circular wire loops with their areas facing each

Question

The picture shows too identical circular wire loops with their areas facing each other. The loop on the left has a battery in it as shown, so there is a steady constant current flowing through it. The loop on the right has no battery in it. Answer the following questions (remember, give an explanation for each answer, add directions of currents and magnetic fields to the drawing as necessary, or make separate drawings):

a.       Is there a magnetic flux through the loop on the right?

b.      Is there a current in the loop on the right?

c.       Supposing I cut the wire of the left loop so current does not flow through it, what happens in the right loop? Why?

Explanation / Answer

a) YES. there IS flux on the loop on the right. The loop on the left is generating a mag field due to the current due to the battery. This mag field will extend far enough to penetrate the area of the loop on right. If there is mag field penetrating an area, a flux is created. b) NO. No current will be induced in the loop on right. This is because the current in the loop on left is STEADY, so the mag field in the loop on left is steady, so the flux is steady. Induction ONLY occurs if there is a CHANGE in flux. c) Now a current WILL be produced ( mind you for only a short time ). When we cut the wire on left, the mag field that was produced will disappear. That means the flux in the loop on the right will change from some value to zero value. Therefore, a CHANGE in the flux has occurred, therefore inducing voltage, which will create a current.

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