Using diagrams and explanations of the two right-hand rules required, explain why there is an attractive...

Using diagrams and explanations of the two right-hand rules required, explain why there is an attractive force between two parallel currents.

Expert Solution

Right hand rule-1 : If your index finger of the right hand is directed towards the current and the middle finger is directed towards the magnetic field, then you thumb will point the magnetic force on the conductor.

Right hand rule-2 : If we grasp the straight conductor in our right hand thumb points in the direction of the current then the fingers curl in the direction of the magnetic field B with the fingertips pointing along magnetic field.

Suppose two wires PQ and RS are two parallel wires placed in the plane of paper, and carry currents i₁ and i₂ in the same direction.

The magnetic field B₁ at any point on RS due to the current i₁ in PQ is directed into the page according to the right hand rule-2. The the conductor RS, carrying current I₂, is thus situated perpendicular to the magnetic field B₁ . It therefore experiences a magnetic force towards the conductor PQ according to the right hand rule- 1.

The magnetic field B₂ at at any point on PQ due to the current i₂ in RS is directed out of the page according to the right hand rule-2. The conductor PQ carrying current i₁ , is does situated perpendicular to the magnetic field B₂ . It therefore experiences a magnetic force towards the conductor RS according to the right hand rule-2.

So the forces on the conductors are directed towards each other i.e. there is an attractive force between two parallel wires if they carry currents in the same direction.

genius_generous answered 2 years ago

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