If the current in the wire increases, is the induced current in the circuit cloc

Question

If the current in the wire increases, is the induced current in the circuit clockwise, counterclockwise, orzero?

I know the answer is clockwise but im not sure why?

I Know the right hand rules, I just dont know from this figure where X (in) and . (out) arent marked how you can tell?



nevermind guess i didnt fully understand right hand rule but i get now that if you wrap ur fingers around the wire on right side it points into the page and roating to the other side of wire (left side) fingers point out of page. so left side is out of page and right side is into page

Explanation / Answer

See, the direction of the current in the straight wire is defined. This direction of current is sufficient to describe the magnetic field's direction. If you grab the wire with your right hand with your thumb pointing in the direction of the current, you will see that the other 4 fingers point "out" of the screen on the left of the wire where the loop is placed.

Now, its given that the current is increasing. So the magnetic field associated with the current will also increase. In other words, the magnetic field is increasing "out" of the screen. In accordance with Lenz's law, the loop will have a tendency to stop this magnetic field from increasing and hence it will itself produce a magnetic field in the opposite direction i.e. "into" the screen. Now lets point the thumb of our index finger "into" the screen. In that case we will see that the other four fingers curl in the clockwise direction. And hence the current in the loop is in Clockwise direction.

Hope it helps. In case of any doubts, feel free to leave a comment.

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