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- 1. APPLIED PHYSICS
- 2. Ali Nadeem ADP – IT Muhammad Ali ADP – CS Saad Sharjeel ADP – IT Syed Burhan Shah ADP – IT PRESENTED BY
- 3. •TOPIC 1. Ampere's Circuital Law 2. Limitations of Ampere’s Circuital Law 3. Applications of Ampere’s Circuital Law PRESENTATION
- 4. •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.”
- 5. •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.
- 6. •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=μ0I Since the path is a circle, the magnetic field intensity B is uniform throughout because every point is equidistant. μ0I=B .∫ dl=B×2πr (∫dl=2πr) ∴B=μ0I/2πr = μ0/4π . 2I/r
- 7. •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.
- 8. •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.
- 9. •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.
- 10. •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.
- 11. HAVE A NICE DAY