What is the direction of the magnetic field at the indicated locations inside and outside this c

What is the direction of the magnetic field at the indicated...

Key Concepts

Magnetic Field Generation by Currents

Electric currents produce magnetic fields in the space surrounding them. The magnetic field lines form closed loops around the current, as described by Maxwell's equations. This concept is fundamental to understanding how currents in conductors, such as wires or coils, generate magnetic effects.

Right-Hand Rule

The right-hand rule is a mnemonic for determining the direction of the magnetic field created by a moving charge or current. In practice, if you point the thumb of your right hand in the direction of the conventional current, your fingers will curl in the direction that the magnetic field lines loop around the wire. This rule is essential for analyzing the orientation of magnetic fields in various geometries.

Superposition Principle

When dealing with multiple current-carrying segments, the overall magnetic field at any point is the vector sum of the fields produced by each segment individually. This principle of superposition allows for the analysis of complex conductors, where individual contributions, such as those from different portions of a loop or coil, combine to form the total field.

Transcript

00:01 Hi, in the given problem there is a magnetic field which is coming out of the plane of paper perpendicularly and a circular coil is passing through this magnetic field as shown here in the figure in the first case the coil is entirely out of the magnetic field in second case it starts entering into the magnetic field in third case it is moving entirely within the magnetic field in fourth case the coil starts coming out of the magnetic field and in last case the coil is again entirely out of the magnetic field the motion of the coil is always towards right we have to find the direction of the current induced in the coil and the direction of force acting on the coil in all the cases in the first case as the coil is entirely out of the field so no magnetic flux linked through it so no emf or current induced in it and no force acting on it now in the second part of the problem the coil starts entering into the magnetic field and the magnetic field is in outward direction so we can say the reason behind the emf induced because we can say the emf will be induced in this case as the magnetic flux linked through the coil is changing so as per faraday's laws of electromagnetic induction now the emf and hence the current will be induced in the coil whose reason is outward increasing magnetic flux so as per lens's law a magnetic flux will be induced in it whose direction will be such that it may oppose the reason behind it so the opposition will be inward increasing magnetic flux and we know the the magnetic field enters into the south pole.

03:07 So the face of the coil should start beginning like south pole and the direction of current induced in it in the coil should be clockwise.

03:20 Now as the coil is moving towards right, so a force should act on the coil in leftward direction again as per lens is law.

03:30 So the force acting on the coil should be leftward.

03:47 So as to oppose the rightward motion of the coil, again as per lenses law.

04:08 In third position of the coil, the coil is entirely within the magnetic field, entirely within the magnetic field, entirely within the magnetic field...

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