Home
Class 12
PHYSICS
Wires 1 and 2 carrying currents i(1) and...

Wires `1 and 2` carrying currents `i_(1) and i_(2)` respectively are inclined at an angle `theta ` to each other. What is the force on a small element `dl` of wire `2` at a distance of `r` from wire 1 ( as shown in figure) due to the magnetic field of wire 1`?

A

`(mu_(0))/(2pi r) i_(1) i_(2) dl tan theta`

B

`(mu_(0))/(2pi r) i_(1) i_(2) dl sin theta`

C

`(mu_(0))/(2pi r) i_(1) i_(2) dl cos theta`

D

`(mu_(0))/(4pi r) i_(1) i_(2) dl sin theta`

Text Solution

Verified by Experts

The correct Answer is:
C

Length of the component `dl` which is parallel to wire (1) is `dl cos theta`, so force on it.
`p = (mu_(0))/(4pi), (2i_(1) i_(2))/(r) (dl cos theta) = (mu_(0) i_(1) i_(2) dl cos theta)/(2pi r)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SOURCE AND EFFECT OF MAGNETIC FIELD

    A2Z|Exercise Assertion- Reason|6 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

Wires 1 and 2 carrying currents i_1 and i_2 respectively are inclined at an angle theta to each other. What is the force on a small element dl of wire 2 at a distance of r from wire 1 (as shown in the figure) due to the magnetic field of wire 1 ?

Two long wires, carrying currents i_1 and i_2, are placed perpendicular to each other in such a way that they just avoid a contact. Find the magnetic force on a small length dl of the second wire situated at a distance l from the first wire. (figure)

Knowledge Check

  • Two long wire AB abd CD carry currents i_(1) and i_(2) in the direactions show in figure

    A
    Force on wire AB is towards left
    B
    Force on wire AB is towards right
    C
    Torque on wire AB is clockwise
    D
    Torque on wire AB is anticlockwise
  • The magnetic field at a distance r from a long wire carrying current i is 0.4 T. The magnetic field at a distance 2r is

    A
    0.2 T
    B
    0.8T
    C
    0.1 T
    D
    1.6 T
  • The magnetic field at a distance r from a long wire carrying current i is 0.4 tesla. The magnetic field at a distance 2r is

    A
    0.2 tesla
    B
    0.8 tesla
    C
    0.1 tesla
    D
    1.6 tesla
  • Similar Questions

    Explore conceptually related problems

    A long wire having a semi-circular loop of radius r carries a current I, as shown in Fig. Find the magnetic field due to entire wire.

    A wire loop formed by joining two semicircular wires of radii R_1 and R_2 carries a current I as shown in figure. Find the magnetic field induction at the centre O.

    A long straight wire carrying current I is bent into the shape as shown in the figure. The circular portion of the wire has radius (10//pi)m . The centre of this circle is at a distance 1m from the straight portion of the wire. What is the magnitude of the magnetic field at the centre of the circular portion? Given pi^2=10 .

    A wire bent in the form of a sector of radius r subtending an angle theta^(@) at centre as shown in figure is carrying a current I. The magnetic field at O is :

    A wire 1 m long is kept perpendicular to a magnetic field of 0.01 tesla. (i) What is the forde on the wire when it carries a current of 10A ? (ii) What is the force on the wire if it is parallel to the magnetic field ?