Home
Class 12
PHYSICS
A square loop ABCD, carrying a current I...

A square loop `ABCD`, carrying a current `I_(2)` is placed near and coplanar with a long straight conductor `XY`, carrying a current `I_(1)` as shown in Figure. The net force on the loop will be

A

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

B

`(2mu_(0) I_(1) I_(2))/(3pi)`

C

`(mu_(0) I_(1) I_(2)L)/(2pi)`

D

`(2mu_(0) I_(1) I_(2)L)/(3pi)`

Text Solution

Verified by Experts

The correct Answer is:
B
Force on side `AB` due to current in long wire
`F_(1) = (mu_(0))/(4pi) (2 I_(1) I_(2) L)/(41pi (L//2)) = (mu_(0) I_(1) I_(2))/(pi)` (attractive).
Force on side `CD`
`F_(1) = (mu_(0))/(4pi) (2 I_(1) I_(2) L)/((3L//2)) = (mu_(0) I_(1) I_(2))/(3pi)` (repulsive)
`:.` Net force on the loop `= F_(1) - F_(2)`
`= (mu_(0) I_(1) I_(2))/(pi) [1 - (1)/(3)] = (2)/(3) (mu_(0) I_(1) I_(2))/(pi)` (attractive)
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SOURCE AND EFFECT OF MAGNETIC FIELD

    A2Z|Exercise Assertion- Reason|6 Videos

  • SOURCE AND EFFECT OF MAGNETIC FIELD

    A2Z|Exercise Section D - Chapter End Test|30 Videos

  • SOURCE AND EFFECT OF MAGNETIC FIELD

    A2Z|Exercise AIPMTNEET Questions|47 Videos

  • SEMICONDUCTOR ELECTRONICS

    A2Z|Exercise EXERCISE|29 Videos

  • WAVE OPTICS

    A2Z|Exercise Section D - Chapter End Test|29 Videos

Similar Questions

Explore conceptually related problems

Find the force on the conductor carrying current I_1 as shown in figure.

A square loop of ABCD carrying a current i, is placed near and coplanar with a long straight conductor XY carrying a current I, the net force on the loop will be

Knowledge Check

  • A square loop ABCD , carrying a current I, is placed near and coplanar with a long straight conductor XY carrying a current I.

    A
    There is no net force on the loop
    B
    The loop will be attracted by the conductor only if the current in the loop flows clockwise.
    C
    The loop will be attracted by the conductor only if the current in the loop flows anticlockwise
    D
    The loop will always be attracted by the conductor

  • A square loop ABCD carrying a current i is placed near and coplanar with a long straight conductor XY carrying a current I .

    A
    There is no net force on the loop
    B
    The loop will be attracted by the conductor only if the current in the loop flows clockwise.
    C
    The loop will be attracted by the conductor only if the current in the loop flows anticlockwise.
    D
    The loop will always be attracted by the conductor.

  • A square loop ABCD carrying a current i, is placed near and coplanar with a long straight conductor XY carrying a current I, the net force on the loop will be

    A
    `(2m_0liL)/(3 pi)`
    B
    `(mu_0liL)/(2pi)`
    C
    `(2mu_0Ii)/(3pi)`
    D
    `(mu_0Ii)/(2pi)`

    • Similar Questions

    Explore conceptually related problems

    A square loop ABCD carrying a current i, is placed near and coplanar with a long straight conductor XY carrying a current I, the net force on the loop will be :

    A conductor AB of length L carrying a current I_(2) , IS placed perpendicular to a long straight conductor XY carrying current I_(2) , as shown in figure. The force on AB in magnitude is

    A conductor AB of length L carrying a current I', is placed perpendicular to a long straight conductor XY carrying a current I as shown in Fig. The forces on AB has magnitude

    A rectangular loop carryinig current I is located near an infinite long straight conductor carrying current I as shown in the figure. The loop,

    A conductor AB of length l carrying a current i is placed perpendicular to a long straight conductor XY carrying a current I , as shown. The force on AB will act

    Home
    Profile