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A Steady Current (I1) Flows Through a Long Straight Wire. Another Wire Carrying Steady Current (I2) in the Same Direction is Kept Close and Parallel to the First Wire. Show with the Help of a Diagram - Physics

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प्रश्न

A steady current (I1) flows through a long straight wire. Another wire carrying steady current (I2) in the same direction is kept close and parallel to the first wire. Show with the help of a diagram how the magnetic field due to the current I1 exerts a magnetic force on the second wire. Write the expression for this force.

उत्तर

Magnetic field `vecB` will be moving into the page and I2 is moving upward on the plane of the page.

Hence,

For a length of the wire carrying the current I2,

The force can be expressed as

`F_(21) = I_2LB_1`

    =`(mu_0I_1I_2)/(2pid)  L`

Where, is the separation of the two wires. This force F21 will be directed towards the wire Ifrom the wire I2.

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