Home
Class 12
PHYSICS
Same current i is flowing in the three i...

Same current i is flowing in the three infinitely long wires along positive x-,y- and z-directions. The magnetic filed at a point (0,0,-a) would be

Text Solution

Verified by Experts

The point `(0, 0, -a)` lies on z-axis. Therefore the magnetic field induction at the given point due to current along z-axis is zero.
The magnetic field induction due to current along x-axis at the given point is `vecB_x=(mu_0)/(4pi)I/ahatj`
The magnetic field induction due to current along y-axis at the given point is
`vecB_y=(mu_0)/(4pi)I/a(-hatj)`
`:.` Total magnetic field induction,
`vecB=vecB_x+vecB_y=(mu_0)/(4pi)I/a(hatj-hati)`
Promotional Banner

Topper's Solved these Questions

  • MAGNETIC EFFECT OF CURRENT AND MAGNETISM

    PRADEEP|Exercise Conceptual Problems (d)|2 Videos

  • MAGNETIC EFFECT OF CURRENT AND MAGNETISM

    PRADEEP|Exercise Very Short Answer Questions (a)|2 Videos

  • ELECTROSTATICS

    PRADEEP|Exercise ASSERTION-REASON TYPE QUESTIONS|2 Videos

  • OPTICS

    PRADEEP|Exercise Multiple choice questions|1 Videos

Similar Questions

Explore conceptually related problems

A current of 10A is established in a long wire along the positive z-axis. Find the magnetic field (vec B) at the point (1m , 0 , 0).

A direct current l flow along the length of an infinitely long striaght thin walled pipe then the magnetic field is

Two infinitely long parallel wires carry equal current in same direction. The magnetic field at a mid point in between the two wires is

Two infinitely long, thin, insulated, straight wires lie in the x-y plane along the x- and y- axis respectively. Each wire carries a current I, respectively in the positive x-direction and positive y-direction. The magnetic field will be zero at all points on the straight line:

Find the electric field vector at P (a,a,a) due to three infinitely long lines of charges along the x-, y- and z-axis, respectively. The charge density i.e. charge per unit length of each wire is (lamba) ,