Moving Charges and Magnetism
Introduction to Moving Charges and Magnetism:
- This section introduces the concept of a magnetic field and its properties.
- It explains that a moving charge produces a magnetic field around it.
- The right-hand thumb rule is discussed, which determines the direction of the magnetic field around a current-carrying conductor.
Magnetic Force:
- This section explores the magnetic force experienced by a moving charge in a magnetic field.
- The equation for the magnetic force (F) on a moving charge (q) moving with velocity (v) in a magnetic field (B) is given by the equation F = qvBsinθ, where θ is the angle between the velocity and the magnetic field.
- The section also explains the magnetic force on a current-carrying conductor placed in a magnetic field.
- The direction of the magnetic force is determined by the Fleming's left-hand rule.
Sources of Magnetic Field:
- The Biot-Savart law is introduced, which states that the magnetic field at a point due to a small current element is directly proportional to the current element and inversely proportional to the square of the distance.
- The Biot-Savart law is used to calculate the magnetic field due to various current-carrying conductors, such as a straight wire and a circular loop.
Ampere's Circuital Law:
- Ampere's circuital law relates the magnetic field around a closed loop to the current passing through the loop.
- The section explains how to use Ampere's circuital law to calculate the magnetic field inside and outside a long straight solenoid.
Magnetic Field due to a Current through a Straight Conductor:
- This section focuses on calculating the magnetic field at a point on the axis of a circular coil carrying current.
- The magnetic field at the center of a circular coil carrying current is also discussed.
Force between Two Parallel Current-Carrying Conductors:
- The section explains the force between two long parallel conductors carrying currents in the same direction or in opposite directions.
- The magnitude and direction of the force can be determined using the Ampere's circuital law and applying the principles of magnetic fields.
Torque on a Current Loop:
- This section discusses the torque experienced by a rectangular loop carrying current in a magnetic field.
- The torque is calculated using the equation τ = NIABsinθ, where N is the number of turns, I is the current, A is the area of the loop, B is the magnetic field, and θ is the angle between the magnetic field and the normal to the loop.
- The torque on a current-carrying coil in a uniform magnetic field is also explained.
Overall, this chapter explores the fundamental principles of moving charges and their interaction with magnetic fields. It provides a foundation for understanding various applications of magnetism, such as electromagnets, electric motors, and generators.
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