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Maharashtra State BoardSSC (English Medium) 10th Standard

Revision: All about Electromagnetism Science and Technology 1 SSC (English Medium) 10th Standard Maharashtra State Board

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Definitions [8]

Definition: Magnetic Force

The force experienced by a moving charge in the presence of a magnetic field, which depends on charge q, velocity v and magnetic field B, and which is opposite in direction on a negative charge compared to a positive charge, is called the magnetic force.

Definition: Right Hand Thumb Rule

If a current-carrying straight conductor is held in the right hand such that the thumb points in the direction of the electric current, then the fingers curled around the conductor show the direction of the magnetic field.
This is called the Right-Hand Thumb Rule.

OR

If you hold a current-carrying conductor in your right hand with the thumb pointing in the direction of the current, then the curled fingers show the direction of the magnetic field (lines of force) around the conductor.

Definition: Solenoid

If a conducting wire is wound in form of a cylindrical coil whose diameter is less in comparison to its length, the coil is called a solenoid.

OR

A coil of many circular turns of insulated copper wire wrapped closely in the shape of a cylinder is called a solenoid.

OR

When a copper wire with a resistive coating is wound in a chain of loops (like a spring), it is called solenoid.

Define electric motor.

lt is a device to convert electrical energy into mechanical energy. It is based on the principle that when a current-carrying coil is placed in a magnetic field, it experiences a force.

Definition: Electric Motor

A device changing electrical energy into mechanical energy is known as electric motor.

Definition: Electromagnetic Induction

Electromagnetic induction is the production of an electromotive force across an electrical conductor in a changing magnetic flux or magnetic field.

Definition: A.C. Generator

An a.c. generator is a device which converts the mechanical energy into the electrical energy using the principle of electromagnetic induction.

Definition: Simple D.C. Motor

An electric motor is a device which converts the electrical energy into the mechanical energy.

Formulae [6]

Formula: Electric Field Due to a Point Charge

\[\vec{E}=\frac{1}{4\pi\varepsilon_0}\frac{Q}{r^2}\hat{r}\]

Formula: Magnetic Force

Magnetic force when v ∥ B: F = 0

Magnetic force when velocity is zero: ∣Fm∣ = 0

Formula: Magnetic Force on a Moving Charge

F = qv B sin θ

Formula: Maximum Magnetic Force

Maximum magnetic force (when v ⊥ B): Fmax = qv B

Formula: Motion of Charged Particle

Centripetal force provided by magnetic force: \[\frac{mv^2}{r}=qvB\]

Angular speed = \[\omega=\frac{qB}{m}\]

Period of circular motion = \[T=\frac{2\pi m}{qB}\]

Frequency = \[f=\frac{qB}{2\pi m}\]

Formula: Magnetic Force on a Straight Current-Carrying Conductor

\[F=BIL\sin\theta\]

Vector Form:

\[\vec{F}=I(\vec{L}\times\vec{B})\]

Special Cases:

  • θ = 90 → F = BILF 
  • θ = 0→ F = 0

Theorems and Laws [2]

Law: Fleming's Left-Hand Rule

If we stretch the index finger, middle finger and thumb of the left hand mutually perpendicular to each other such that the index finger points along the direction of the magnetic field and the middle finger along the direction of current (moving charge), then the thumb represents the direction of the force F experienced by the moving charge.

Fleming’s Left-Hand Rule

If the thumb, forefinger and middle finger of the left hand are stretched mutually perpendicular to each other, and the forefinger points in the direction of the magnetic field and the middle finger points in the direction of the current, then the thumb gives the direction of the force acting on the conductor.

Key Points

Key Points: Bar Magnet and Solenoid Analogy
  • A bar magnet behaves like a solenoid
  • Both produce similar magnetic field patterns
  • Solenoid Relation: M = NIA
Key Points: Force on a Current Carrying Conductor in a Magnetic Field
  • A current-carrying conductor placed in a magnetic field experiences a force when the direction of current is not parallel to the magnetic field.
  • The direction of force reverses when the direction of current or the direction of magnetic field is reversed, and no force acts when current flows parallel to the magnetic field.
Key Points: Simple D.C. Motor
  • A d.c. A motor works on the principle that a current-carrying conductor placed normally in a magnetic field experiences a force, producing rotational motion.
  • The split ring commutator reverses the direction of current in the coil after every half rotation, so that the coil continues to rotate in the same direction.
  • The armature coil experiences an anticlockwise couple due to equal and opposite forces on its arms, causing continuous rotation of the coil.
  • In a d.c. Motor, electrical energy supplied by the battery is converted into mechanical energy.

Important Questions [35]

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