This document presents on Ampere's Circuital Law. It defines Ampere's Circuital Law as stating that the magnetic field created by an electric current is proportional to the size of the current. It provides the equation for Ampere's Circuital Law and discusses some applications, including finding the magnetic field due to an infinite straight wire. It also discusses limitations of Ampere's Circuital Law, noting it is only applicable for constant current or when the electric field does not vary with time. The main limitation is that it is only valid for steady current.

2. APPLIED
PHYSICS

3. Ali Nadeem
ADP – IT
Muhammad Ali
ADP – CS
Saad Sharjeel
ADP – IT
Syed Burhan Shah
ADP – IT
PRESENTED BY

4. •TOPIC
1. Ampere's Circuital Law
2. Limitations of Ampere’s Circuital Law
3. Applications of Ampere’s Circuital Law
PRESENTATION

5. •AMPERE’S CIRCUITAL LAW:
“The magnetic field
created by an electric
current is proportional to
the size of that electric
current with a constant
of proportionality equal
to the permeability of
free space.”

6. •EQUATION OF (A.C.L):
∫B. dl = line integral of B around a closed path.
μ0 =Permeability of free space=4 π × 10-15 N/ A2
I = Current.
B = Magnetic Field.

8. •APPLICATION OF (A.C.L.):
Finding the magnetic field due to infinite straight wire
by using Ampere circuital law:
We'll find the magnetic field at a point
due to a long straight current carrying
conductor.
For this we imagine an Ampere an loop
which is circular with the centre at the
wire and passing through the point P.
∫B .d l=μ0​I
Since the path is a circle, the magnetic field intensity B is uniform
throughout because every point is equidistant.
μ0​I=B .∫ dl=B×2πr
(∫dl=2πr)
∴B=μ0​I/2πr ​= μ0/4π . 2I/r​

9. •What is the main application of
ampere’s circuital law?
Ampere’s circuital law has
many applications in
calculating magnetic field
at any point due to
current-carrying wire,
current-carrying solenoid,
and toroid.

10. •Application of ampere’s circuital law:
1. Magnetic field due to a
current-carrying long wire.
2. Magnetic field due to the
Long current-carrying
solenoid.
3. Magnetic field due to
current carrying Toroid.

11. •LIMITATIONS OF AMPERE’S CIRCUITAL LAW:
Ampere's Law is only
applicable
for constant current or
when the electric field does
not vary with time,
according to James Clerk
Maxwell.
Consider a parallel plate capacitor being charged by a
battery to demonstrate the discrepancy. Time-varying
current travels across connected wires during charging.

12. •MAIN LIMITATIONS OF (A.C.L.):
The main limitation of Ampere's circuital law is that its
only applicable in Magneto-statics or its only valid
for the steady current.
i.e., the electric field does not change with time.
However, Maxwell modified Ampere's law by
introducing displacement current.

14. HAVE A
NICE DAY