Question

In: Physics

a large dryer cord carries a current of 39 amps and the wires are 0.019 m...

a large dryer cord carries a current of 39 amps and the wires are 0.019 m apart. what is the force per length of the cord?

Expert Solution

The magnetic field of a straight wire carrying current I at a distance r away from the wire is

Given the two wires are separated by a distance d=0.019m.The magnetic field of wire 1 at the location of wire 2 is

Using right hand thumb rule, the direction of magnetic field is into the page at the position of wire 2.

The magnetic force on a straight wire of length L carrying current I in presence of a uniform magnetic field is

The direction of L is in the direction of current.

Let L₂ be the length of the wire 2, the current flowing in wire 2 is I₂, the magnetic field at the location of wire 2 is B₁₂, so the force on wire 2 is

The direction of is away from wire 1. So, wire 2 is repelled by wire 1.

The force per unit length of the wire 2 is

Substituting we get

Similar you can show that the force per unit length of wire 1 is

The magnitude of the force on wire 1 by wire 2 is also the same.

genius_generous answered 2 years ago

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