Advertisements
Advertisements
प्रश्न
Write the expression for the Lorentz force F in vector form.
उत्तर
`vec"F" = "q"(vec"V" xx vec"B" + vec"E")` - Notation have usual meaning, `vec"F"` is the total force experienced by a moving charged particle in a magnetic field `vec"B"` and electric field `vec"E"`.
APPEARS IN
संबंधित प्रश्न
Deduce the expression for the magnetic field at a point on the axis of a current carrying circular loop of radius ‘R’ distant ‘x’ from the centre. Hence, write the magnetic field at the centre of a loop.
A rod of length l is moved horizontally with a uniform velocity 'v' in a direction perpendicular to its length through a region in which a uniform magnetic field is acting vertically downward. Derive the expression for the emf induced across the ends of the rod.
A long straight wire in the horizontal plane carries a current of 50 A in north to south direction. Give the magnitude and direction of B at a point 2.5 m east of the wire.
Which of the following particles will experience maximum magnetic force (magnitude) when projected with the same velocity perpendicular to a magnetic field?
A straight horizontal wire of mass 10 mg and length 1.0 m carries a current of 2.0 A. What minimum magnetic field B should be applied in the region, so that the magnetic force on the wire may balance its weight?
A particle with charge q moves with a velocity v in a direction perpendicular to the directions of uniform electric and magnetic fields, E and B respectively, which are mutually perpendicular to each other. Which one of the following gives the condition for which the particle moves undeflected in its original trajectory?
The magnetic moment is NOT associated with ____________.
The correct plot of the magnitude of magnetic field `vec"B"` vs distance r from centre of the wire is, if the radius of wire is R.
The magnetic moment of a current I carrying circular coil of radius r and number of turns N varies as ______.
In the product `vec"F" = "q" (vec"υ" xx vec"B")`
= `"q" vec"υ" xx ("B"hat"i" +"B"hat"j" + "B"_0hat"k")`
For q = 1 and `vec"υ" = 2hat"i" + 4hat"j" + 6hat"k"` and
`vec"F" = 4hat"i" - 20hat"j" + 12hat"k"`
What will be the complete expression for `vec"B"`?
A circular current loop of magnetic moment M is in an arbitrary orientation in an external magnetic field B. The work done to rotate the loop by 30° about an axis perpendicular to its plane is ______.
A charge particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charge particle increases to 4 times its initial value. What will be the ratio of new radius to the original radius of circular path of the charge particle:
Two long current-carrying conductors are placed parallel to each other at a distance of 8 cm between them. The magnitude of the magnetic field produced at the mid-point between the two conductors due to the current flowing in them is 300µT. The equal current flowing in the two conductors is ______.
Two conducting rails are connected to a source of emf and form an incline as shown in figure. A bar of mass 50 g slides without friction down the incline through a vertical magnetic field B. If the length of the bar is 50 cm and a current of 2.5 A is provided by battery. Value of B for which the bar slide at a constant velocity ______ × 10-1 Tesla. 2 [g = 10 m/s2]
An electron is moving along positive x-axis in a magnetic field which is parallel to the positive y-axis. In what direction will the magnetic force be acting on the electron?
With a neat labelled diagram, explain cyclotron motion and cyclotron formula.
State the expression for the Lorentz force on a charge due to an electric field as well as a magnetic field. Hence discuss the magnetic force on a charged particle which is (i) moving parallel to the magnetic field and (ii) stationary.
What is the relation between Tesla and Gauss?
