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Q.

Which of the following is the direction of force acting on PQ, if  PQ is a part of a very long wire carrying current and passing close to a current carrying circular wire as shown in the figure below? Directions of the currents are shown in figure.


                                                     Screenshot 2022-08-14 at 00.22.58 

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a

Parallel toPQ,towards  P

b

Parallel to PQ, towards Q

c

At right angle to PQ, to the left

d

At right angle toPQ, to the right 

answer is C.

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Detailed Solution

The direction of current is downward, so the direction of force will be towards the left and the magnetic field will be perpendicular to PQ.
From the given figure, the direction of force acting on  PQ is at a right angle to PQ to the left. First, we need to find whether there is a magnetic field acting on PQ. The current-carrying circular coil produces a magnetic field. Thus PQ is in a magnetic field. Now we need to find the direction of the force acting on it. Using the right-hand thumb rule, we can find out that, considering the wire PQ, the current direction is showing downward. According to the right-hand thumb rule, stretch the middle finger, forefinger and thumb in a mutually perpendicular direction where the forefinger is in the current direction. The middle finger will be in the direction of the magnetic field, and the thumb will show the direction of the force.                                    Question Image 
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