हिंदी

Write the Expression, in a Vector Form, for the Lorentz Magnetic Force → F Due to a Charge Moving with Velocity → V in a Magnetic Field → B . What is the Direction of the Magnetic Force? - Physics

Advertisements
Advertisements

प्रश्न

Write the expression, in a vector form, for the Lorentz magnetic force \[\vec{F}\] due to a charge moving with velocity \[\vec{V}\] in a magnetic field \[\vec{B}\]. What is the direction of the magnetic force? 

टिप्पणी लिखिए
Advertisements

उत्तर

The Lorentz magnetic force is given by the following relation:

`vecF=q(vecVxxvecB)`

Here, q is the magnitude of the moving charge.

The direction of the magnetic force is perpendicular to the plane containing the velocity vector `(vecV)`and the magnetic field vector  `(vecB)`

shaalaa.com
Force on a Moving Charge in Uniform Magnetic and Electric Fields
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2013-2014 (March) Delhi Set 1

संबंधित प्रश्न

A proton and an α-particle move perpendicular to a magnetic field. Find the ratio of radii of circular paths described by them when both have (i) equal velocities, and (ii) equal kinetic energy. 


A proton and a deuteron having equal momenta enter in a region of a uniform magnetic field at right angle to the direction of a the field. Depict their trajectories in the field.


Assume that the magnetic field is uniform in a cubical region and zero outside. Can you project a charged particle from outside into the field, so that the particle describes a complete circle in the field?


A semicircular wire of radius 5.0 cm carries a current of 5.0 A. A magnetic field B of magnitude 0.50 T exists along the perpendicular to the plane of the wire. Find the magnitude of the magnetic force acting on the wire.


A particle of mass m and charge q is projected into a region that has a perpendicular magnetic field B. Find the angle of deviation (figure) of the particle as it comes out of the magnetic field if the width d of the region is very slightly smaller than 

(a) `(mv)/(qB)`  (b)`(mv)/(2qB)` (c)`(2mv)/(qB)`


A proton is projected with a velocity of 3 × 106 m s−1 perpendicular to a uniform magnetic field of 0.6 T. Find the acceleration of the proton.


Electrons emitted with negligible speed from an electron gun are accelerated through a potential difference V along the x-axis. These electrons emerge from a narrow hole into a uniform magnetic field B directed along this axis. However, some of the electrons emerging from the hole make slightly divergent angles, as shown in the figure. Show that these paraxial electrons are refocussed on the x-axis at a distance `sqrt(8pi^2mV)/(eB^2).`


Two particles, each with mass m are placed at a separation d in a uniform magnetic field B, as shown in the figure. They have opposite charges of equal magnitude q. At time t = 0, the particles are projected towards each other, each with a speed v. Suppose the Coulomb force between the charges is switched off. (a) Find the maximum value vmof the projection speed, so that the two particles do not collide. (b) What would be the minimum and maximum separation between the particles if v = vm/2? (c) At what instant will a collision occur between the particles if v = 2vm? (d) Suppose v = 2vm and the collision between the particles is completely inelastic. Describe the motion after the collision.


When does a moving charged particle nor experience any force while moving through a uniform magnetic field?


A uniform magnetic field of 1.5 T exists in a cylindrical region of radius 10.0 cm, its direction parallel to the axis along east to west. A wire carrying current of 7.0 A in the north to south direction passes through this region. What is the magnitude and direction of the force on the wire if,

(a) the wire intersects the axis,

(b) the wire is turned from N-S to northeast-northwest direction,

(c) the wire in the N-S direction is lowered from the axis by a distance of 6.0 cm?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×