*||gm law of resultant of two vectors Resultant of two vectors inclined at an angle θ is given by the diagonal of the parallelogram formed by them. If are along adjacent sides of a parallelogram , then will be the diagonal of the same parallelogram provided all have same order. act at an angle θ […]
Velocity selector A beam of charged particles is passed in a region of electric & magnetic fields acting at right angles (called cross fields) with such a velocity that the electric & magnetic force balances each other & the beam of charge particles pass undeflected through the region of cross fields. i.e. Felectric = Fmagnetic […]
Hall effect Is the phenomena of production of transverse emf in a current carrying strip of metal or a semiconductor when it is placed in a region of uniform magnetic field acting at right angles to current. It can be used to, calculate drift velocity of charge carriers, number density of charge carriers & nature […]
Deviation of charge in magnetic field Consider a positive charge of charge + q & mass m fired horizontally in to a region of uniform magnetic field acting normally inwards to the plane of as shown in the diagram. Let x < r be the thickness of the magnetic field region. Let δ is the […]
Cyclotron Also called magnetic resonance oscillator) & is the first circular accelerator designed was by American Physicist Ernest O. Lawrence. + vely charged particles like proton, deutron & alpha particles etc. can be suitably accelerated by cyclotron. It can’t be used to accelerate light particles (e.g. electrons) & neutral particles (e.g. neutrons).
Charge particle in magnetic field A point charge moving in uniform magnetic field experiences a force on . Behaviour of charge particle depends on the angle ‘θ ‘ between . Case 1, if θ = 00 or 1800 When the charged particle moves parallel or anti parallel to field then no net force acts on […]
Toroid Magnetic field inside is B = m0 nI & outside is zero.
Solenoid Mag. field on the axis of a solenoid is If solenoid is very long, loops are tight, then for a point situated on the axis & well inside, B = μ0 nI & for a point near end on the axis, Field pattern of a long solenoid & a bar magnet are similar, with […]
Thick solid conductor or rod Magnetic field for a thick sold conductor or a rod of uniform current density using Ampere’s law is Also inside a piper carrying hollow conductor magnetic field is zero inside everywhere, maximum at surface. Outside & at surface described by same functions as that of a rod.
Ampere’s Circuital Law Ampere’s law is useful to find magnetic field in symmetrical situations. It states that the line integral of magnetic field for a closed plane curve is equal to ‘m 0’ times the current crossing the area bounded by the closed curve provided the electric field inside the loop remains the constant. i.e.
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