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The force acting per unit length on one ...

The force acting per unit length on one conductor due to the other for two long parallel current - carrying wires is

A

`(mu_(0))/(4pi)(I_(1)I_(2))/(r)`

B

`(mu_(0))/(4pi)(I_(1)I_(2))/(r)`

C

`(mu_(0))/(4pi)(2I_(1)I_(2))/(r)`

D

`(mu_(0))/(4pi)(I_(1)I_(2))/(4r)`

Text Solution

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The correct Answer is:
C
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Depict the magnetic field lines due to two straight, long parallel conductors carrying current I_(1) and I_(2) in the same direction.Hence deduce an expression for the force acting per unit length on one conductor due to the other.Is this force attractive or repulsive? Figure shows a rectangular current carrying loop placed 2 cm away from a long,straight, current-carrying conductor.What is the direction and magnitude of the net force acting on the loop?

(a) Derive the expression for the force acting per unit length between two long straight parallel current carrying conductors. Hence, define one ampere. (b) Two long parallel straight conductors are placed 12 cm apart in air. They carry equal currents of 3 A each. Find the magnitude and direction of the magnetic field at a point midway between them (drawing a figure) when the currents in them flow in opposite directions.

Knowledge Check

  • The force between two parallel current carrying wires is independent of

    A
    their distance of separation
    B
    the length of the wires
    C
    the magnitude of currents
    D
    the radii of the wires

  • The force between two parallel current carrying wires is independent of

    A
    their distance of separation
    B
    the length of the wires
    C
    the radii of the wires
    D
    the medium in which they are placed

  • Force per unit length acting at one end of each of the two long parallel wires, carrying current I each, kept distance r apart is

    A
    `(mu_(0))/(4pi)(i^(2))/(r)`
    B
    `(mu_(0))/(4pi)(2i^(2))/(r)`
    C
    `(mu_(0))/(4pi)((2i)^(2))/(r)`
    D
    `(mu_(0))/(4pi)(i^(2))/(4r)`

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    Two linear parallel conductors carrying currents in the same direction attract each other and two linear parallel conductors carrying currents in opposite direction repel each other. The force acting per unit length due to currents I_1 and I_2 in two linear parallel conductors held distance r apart in vacuum in SI unit is F=(mu_0)/(4pi)(2I_1I_2)/(r) Read the above passage and answer the following questions: (i) What is the basic reason for the force between two linear parallel conductors carrying currents? (ii) Two straight wires A and B of lengths 2cm and 20cm , carrying currents 2*0A and 5*0A respectively in opposite directions are lying parallel to each other 4*0cm apart. The wire A is held near the middle of wire B. What is the force on 20cm long wire B? (iii) What does this study imply in day to day life?

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    Calculate the force per unit length on a long straight wire carrying current 4A due to parallel wire carrying current 6A current. Distance between the wires =3cm .

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