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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 [9]

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: Lorentz Force

When both electric and magnetic fields act on a charge, the total force is called the Lorentz 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

A long, cylindrical coil consisting of a large number of closely wound circular turns of insulated copper wire, in which a magnetic field is produced when current flows through it.

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

The phenomenon in which electric current is generated in a conductor or closed coil due to a varying magnetic field is called electromagnetic induction.

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 [4]

Formula: Electric Field Due to a Point Charge

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

Formula: Maximum Magnetic Force

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

Formula: Magnetic Force

Vector Form: \[\vec F\] = q(\[\vec v\] × \[\vec B\])

Magnitude Form: F = qv B sin θ

Where:

  • q = charge on the particle
  • v = speed of the particle
  • B = magnetic field strength
  • θ = angle between \[\vec v\] and \[\vec B\]
Formula: Lorentz Force

\[\vec F\] = q(\[\vec E\] + \[\vec v\] × \[\vec B\])

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.

Write Fleming’s left hand rule.

Stretch the index finger, the middle finger, and the thumb of the left hand mutually perpendicular to each other. If the index finger is in the direction of the magnetic field and the middle finger points in the direction of the current, then the thumb will point towards the direction of the force 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: Magnetic Field at the Axis of a Circular Current-carrying Loop
  • A circular current loop produces a magnetic field whose axial value is B = \[\frac{\mu_0IR^2}{2(x^2+R^2)^{3/2}}\].
  • At the centre of the loop (x = 0), this simplifies to B0 = \[\frac {μ_0I}{2R}\]​, and for N turns, B0 = \[\frac {μ_0NI}{2R}\].
  • Perpendicular field components from opposite points on the loop cancel; only axial components add up.
  • Direction follows the right-hand thumb rule; one face of the loop acts as a north pole, the other as a south pole.
  • Straight wire segments (as in a semicircular arc problem) contribute zero field at a point lying on the line of the wire itself.
Key Points:
  • A current-carrying conductor in a magnetic field experiences a force perpendicular to both the current and the field direction.
  • Reversing current or reversing field polarity reverses the force direction.
  • Formula: F = BIl sin ⁡θ; vector form \[\vec F\] = I\[\vec l\] × \[\vec B\].
  • Force is zero when the wire is parallel to \[\vec{B}\] and maximum (Fmax = BIl) when perpendicular.
  • Fleming's Left-Hand Rule (thumb = force, forefinger = field, middle finger = current) is the standard tool for direction in Indian board exams.
Key Points: Introduction to Electromagnetic Induction
  • Electricity and magnetism are interrelated.
  • Electric current can produce a magnetic field.
  • A changing magnetic field can produce electric current.
  • The production of electric current by a varying magnetic field is called electromagnetic induction.
  • Michael Faraday showed in 1831 that a moving magnet can produce current in a conductor.
  • The current produced due to electromagnetic induction is called induced current.
  • Generators, transformers, induction motors, and wireless chargers work on electromagnetic induction.
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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