Home
Class 12
PHYSICS
A current carrying loop consists of 3 id...

A current carrying loop consists of 3 identical quarter circles of radius R, lying in the positive quadrants of the x-y, y-z and z-x planes with their centres at the origin, joined together. Find the direction and magnitude of B at the origin.

Text Solution

Verified by Experts

1. I current carrying arc having a radius R subtend angle `theta` at centre point then, magnetic field is given by `B=(mu_(0)Itheta)/(4piR)`.
2. Magnetic field at O from current carrying loop at xy-plane,
`vecR_(n)=(mu_(0)I)/(4piR)(pi/2)hatk`
`vecR_(n)=(mu_(0)I)/(4(2R))hatk`
3. Magnetic field at O from current carrying loop at yz-plane,
`vecR_(n)=(mu_(0)I)/(4(2R))hati`
4. Magnetic field at O from current carrying at zx-plane,
`thereforevecR_(n)=(mu_(0)I)/(4(2R))hatj`
`thereforevecR_(n)=vecR_(1)+vecR_(2)+vecR_(3)`
= `(mu_(0)I)/(4(2R))(hati+hatj+hatk)`
`vecR_(n)=(mu_(0)I)/(8R)(hati+hatj+hatk)`
Promotional Banner

Topper's Solved these Questions

  • MOVING CHARGES AND MAGNETISM

    KUMAR PRAKASHAN|Exercise SECTION C (LONG ANSWER TYPE QUESTIONS)|7 Videos

  • MOVING CHARGES AND MAGNETISM

    KUMAR PRAKASHAN|Exercise SECTION D (MULTIPLE CHOICE QUESTIONS)|108 Videos

  • MOVING CHARGES AND MAGNETISM

    KUMAR PRAKASHAN|Exercise SECTION C (VERY SHORT ANSWER TYPE QUESTIONS)|5 Videos

  • MAGNETISM AND MATTER

    KUMAR PRAKASHAN|Exercise SECTION D Multiple Choice Questions (MCQs) (MCQs asked in Competitive Exams) MCQs asked in Board Exam and GUJCET|7 Videos

  • RAY OPTICS AND OPTICAL INSTRUMENTS

    KUMAR PRAKASHAN|Exercise SECTION-D (MULTIPLE CHOICE QUESTIONS (MCQs))(MCQs ASKED IN COMPETITIVE EXAMS)|142 Videos

Similar Questions

Explore conceptually related problems

Find coordinates of mass center of a quarter sector of a uniform disk of radius r placed in the first quadrant ofa Cartesian coordinate system with centre at origin.

Find the distance of the plane 2x-y-2z+1=0 from the origin.

Find the direction cosines of x, y and z- axis.

A current carrying circular loop of radius R is placed in the x-y plane with centre at the origin. Half of the loop with xgt0 is now bent so that it now lies in the y-z plane.

Verify the Ampere's law for magnetic field of a point dipole of dipole moment overset(to)(M) = M hat(k) . Take C as the closed curve running clockwise along (i) the z-axis from z=a gt 0 to z= R, (ii) along the quarter circle of radius R and centre at the origin, in the first quadrant of x-z plane, (iii) along the x-axis from x = R to x = a and (iv) along the quarter circle of radius a and centre at the origin in the first quadrant of x-z plane.

An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit distance from the origin is

Find the intercepts cut off by the plane 2x+y-z=5

Figure shows a square loop 10cm on each side in the x-y plane with its centre at the origin. An infinite wire is at z=12cm above y -axis. What is torque on loop due to magnetic force?

X and Z - axis together makes Y plane.

Find the distance of the plane 2x – 3y + 4z - 6 = 0 from the origin.