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.

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Parallel to

PQ,

towards

P

Parallel to

PQ

, towards

Q

At right angle to

PQ

, to the left

At right angle to

PQ

, 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