Question

In: Physics

A straight wire carries a 12-A current eastward and a second straight wire carries a 14-A...

A straight wire carries a 12-A current eastward and a second straight wire carries a 14-A current westward. The wires are separated by a distance of 42 cm. The force on a 6.4 m length of one of the wires is..

8.0 × 10^-5 N.

8.0 × 10^-7 N.

5.1 × 10^-6 N.

5.1 × 10^-4 N.

not possible to determine with the information given.

Solutions

Expert Solution

The answer is : F = 

Given that,

Current carried by first wire, = 12 A

Current carried by second wire, = 14 A

Distance between 2 wires, r= 42 cm = 0.42 m

Lenght of segment of 1 of the wire on which force is to be calculated , L = 6.4 m

Solution

The force between 2 current carrying conductor is given by the equation,

Where is the magnetic permeability of vacuum space,T.m/A. By substituting the above values in the equation , we can calculate force, F

Therefore Force exerted on 6.4 m length of one wire,

Option (4) F =

This force exerted between the 2 wires is repulsive because the direction of current in 1st wire is opposite to the direction of current in 2nd wire.

Explanation for the equation of force,

genius_generous answered 1 year ago

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