Magnetostatics- Introduction And Biot Savart Law - Magnetostatics- Introduction And Biot Savart Law – An introduction

  • Introduction to Magnetostatics
  • Importance of Magnetostatics in physics
  • Difference between Magnetostatics and Electrostatics
  • Ampere’s law and its significance
  • Concept of magnetic field and magnetic flux
  • Biot-Savart law: derivation and formula
  • Applications of Biot-Savart law
  • Magnetic field due to a straight current-carrying conductor
  • Magnetic field due to a circular loop
  • Magnetic field due to a solenoid

Magnetic field due to a straight current-carrying conductor

  • The magnetic field around a straight current-carrying conductor is circular.
  • The magnitude of the magnetic field is directly proportional to the current.
  • The direction of the magnetic field can be determined using the right-hand rule.
  • The magnetic field lines are concentric circles centered on the conductor.
  • The strength of the magnetic field decreases as we move away from the conductor.

Magnetic field due to a circular loop

  • The magnetic field inside a circular loop carrying current is zero at the center.
  • The magnetic field is parallel to the plane of the loop and perpendicular to the axis of the loop.
  • The magnetic field lines are symmetrical and form concentric circles.
  • The magnitude of the magnetic field is directly proportional to the current and inversely proportional to the radius of the loop.
  • The direction of the magnetic field can be determined using the right-hand rule.

Magnetic field due to a solenoid

  • A solenoid is a long coil of wire wound in the form of a helix.
  • The magnetic field inside a solenoid is uniform and parallel to the axis.
  • The magnetic field outside the solenoid is insignificant.
  • The magnitude of the magnetic field inside the solenoid is directly proportional to the current and the number of turns per unit length.
  • The direction of the magnetic field can be determined using the right-hand rule.

Magnetic field due to a current-carrying wire

  • A current-carrying wire produces a magnetic field around it.
  • The magnetic field lines form concentric circles around the wire.
  • The direction of the magnetic field can be determined using the right-hand rule.
  • The magnetic field at a point near the wire depends on the distance from the wire.
  • The strength of the magnetic field decreases as we move away from the wire.

Magnetic field due to a long straight wire

  • The magnetic field due to a long straight wire depends on the distance from the wire.
  • The magnitude of the magnetic field is inversely proportional to the distance.
  • The magnetic field lines form concentric circles around the wire.
  • The direction of the magnetic field can be determined using the right-hand rule.
  • The strength of the magnetic field decreases as we move away from the wire.

Magnetic field due to parallel current-carrying wires

  • Two parallel current-carrying wires produce magnetic fields that interact with each other.
  • The magnetic field lines around each wire are concentric circles.
  • When the currents flow in the same direction, the magnetic fields repel each other.
  • When the currents flow in opposite directions, the magnetic fields attract each other.
  • The magnitude of the magnetic field produced by each wire depends on the distance between the wires.

Magnetic field due to a loop carrying current

  • A loop carrying current produces a magnetic field within and around it.
  • The magnetic field inside the loop is zero at the center.
  • The magnetic field lines are symmetrical and form concentric circles.
  • The magnitude of the magnetic field is directly proportional to the current and inversely proportional to the distance from the center.
  • The direction of the magnetic field can be determined using the right-hand rule.

Magnetic field due to a current-carrying coil

  • A current-carrying coil produces a magnetic field within and around it.
  • The magnetic field inside the coil is strong and uniform.
  • The magnetic field outside the coil is weak and negligible.
  • The magnetic field lines form concentric circles within the coil.
  • The magnitude of the magnetic field is directly proportional to the current and the number of turns in the coil.

Magnetic field due to a solenoid

  • A solenoid is a tightly wound coil of wire.
  • The magnetic field inside a solenoid is strong and uniform.
  • The magnetic field outside the solenoid is weak and negligible.
  • The magnetic field lines are parallel to the axis of the solenoid.
  • The magnitude of the magnetic field is directly proportional to the current and the number of turns per unit length.

Applications of magnetostatics

  • Magnetic levitation and Maglev trains.
  • Magnetic compasses for navigation.
  • Magnetic resonance imaging (MRI) in medical diagnostics.
  • Magnetic sensors and switches.
  • Electromagnetic induction for power generation.

Slide 21:

  • Magnetism and magnetic fields
  • Magnetic poles and magnetic field lines
  • Magnetic dipoles and magnetic moments
  • Relationship between electric and magnetic fields
  • Magnetic forces on moving charges

Slide 22:

  • Force on a charged particle in a magnetic field
  • The right-hand rule for determining the direction of the force
  • Centripetal force on a charged particle moving in a magnetic field
  • The cyclotron frequency and the radius of the particle’s path
  • Applications of magnetic forces

Slide 23:

  • Magnetic torque on a current loop
  • The right-hand rule for determining the direction of the torque
  • Relationship between magnetic torque and magnetic moment
  • Applications of magnetic torque

Slide 24:

  • Magnetic dipole moment of a current loop
  • Calculation of magnetic dipole moment for different loop shapes
  • Relationship between magnetic moment and current
  • Magnetic dipole moment of a straight wire and a solenoid

Slide 25:

  • Interaction between magnetic dipoles
  • Magnetic potential energy
  • Calculation of potential energy for two magnetic dipoles
  • Magnetic field due to a magnetic dipole

Slide 26:

  • Magnetic field due to a magnetic dipole at different points in space
  • Calculation of magnetic field at axial and equatorial points
  • Magnetic field lines around a magnetic dipole

Slide 27:

  • Magnetic field due to a bar magnet
  • Magnetic north pole and magnetic south pole
  • Magnetic field lines around a bar magnet
  • Magnetic field strength and magnetic field intensity

Slide 28:

  • Magnetic field due to a current-carrying wire
  • Magnetic field lines around a current-carrying wire
  • Calculation of magnetic field using the Biot-Savart law
  • Ampere’s law for calculating magnetic field around a closed loop

Slide 29:

  • Magnetic field due to a straight current-carrying conductor
  • Magnetic field lines around a straight conductor
  • Calculation of magnetic field using the Biot-Savart law
  • Comparison of magnetic field due to a straight wire and an infinite wire

Slide 30:

  • Magnetic field due to a circular current loop
  • Magnetic field lines around a circular loop
  • Calculation of magnetic field at the center and on the axis of the loop
  • Comparison of magnetic field due to a circular loop and a straight wire