Home
Class 12
PHYSICS
State Ampere's circuital law, expressing...

State Ampere's circuital law, expressing it in the integral form.

Text Solution

Verified by Experts

Ampere.s circuital law states that for an open surface with a boundary, the integral of the product of tangential component of magnetic field for an element and the length of element is equal to `mu_0` times the total current passing through the surface.
Mathematically,
`oint B_t dl = oint vecB . vec(dl) = mu_0 I`
Where I is the current through the surface. the integral is taken over the closed loop coinciding with the boundary C of the loop.
As per sign convention followed, let the fingers of the right hand be curled in the boundary is traversed in the loop integral `oint vecB. vec(dl)`, then the direction of the given thumb gives the sense in which the current I is regarded as positive.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MOVING CHARGES AND MAGNETISM

    U-LIKE SERIES|Exercise LONG ANSWER QUESTIONS-I|33 Videos
  • MOVING CHARGES AND MAGNETISM

    U-LIKE SERIES|Exercise LONG ANSWER QUESTIONS-II|11 Videos
  • MOVING CHARGES AND MAGNETISM

    U-LIKE SERIES|Exercise VERY SHORT ANSWER QUESTIONS|39 Videos
  • MODEL TEST PAPER 3 (UNSOLVED)

    U-LIKE SERIES|Exercise SECTION A|3 Videos
  • NUCLEI

    U-LIKE SERIES|Exercise Self Assessment Test|10 Videos

Similar Questions

Explore conceptually related problems

Stale Ampere’s circuital law, expressing it in the integral form.

State Amperes circuital law.

State Ampere's circuital law, expressing it in integral form.

Ampere's circuital law is given by

Ampere's law

Ampere's Law

Ampere's Law

State Ampere's circuital law and express it mathematically. Give the sign convention involved in the relation.

Explain how Biot-Savart's law enables one to express the Ampere's circuital law in the integral form , viz., oint vecB .vec(dl) = mu_0 I where I is the total current passing through the surface.

State Ampere's circuital law. By using it derive an expression for magnetic field intensity at a point due to a straight current carrying conductor.