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Ampere's Law Formula

Ampere’s law came to existence in 1826. The law talks about the sum of the magnetic field across a closed hoop which is carrying current. Ampere’s law can be useful when measuring a high 

degree of symmetry for magnetic fields with current distributions.

Ampere’s Law Formula

∮B→dl→=μ0I

Notations Used In Ampere’s Law Formula

  • B is the magnetic field
  • L is the infinitesimal length
  • I is the current flowing through the closed-loop
  • μ is the permeability

Solved Example

Question 1: Compute the magnetic field of a long straight wire that has a circular loop with a radius of 0.05m. 2amp is the reading of the current flowing through this closed loop.

Solution:

Given

R = 0.05m

I = 2amp

μ0 = 4π×10-7N/A2

Ampere’s law formula is

∮B→dl→=μ0I

In the case of long straight wire

∮dl→=2πR=2×3.14×0.05=0.314

B∮dl→=μ0I

B→=μ0I2πR

B→=4π×10−7×20.314=8×10−6T

To learn more on other Physics related concepts, stay tuned with BYJU’S.

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