A proton and an alpha particle both enter a region of uniform magnetic field , moving at right angles to field . If the radius of circular orbits for both the particles is equal and the kinetic energy acquired by proton is the energy acquired by the alpha particle will be:
Get Answer
As we know,
Since is same so,
Therefore of particle
A long straight wire of radius a carries a steady current I. The current is uniformly distributed over its cross-section. The ratio of the magnetic fields and , at radial distances and respectively, from the axis of the wire is :
1
4
A square loop carrying a current , is placed near and coplanar with a long straight conductor carrying a current , the net force on the loop will be :
The direction of current in conductor and is same
(attractive)
Therefore the net force on the loop
A 250-turn rectangular coil of length and width 1.25 carries a current of and subjected to magnetic field of strength . Work done for rotating the coil by against the torque is
Work done,
When it is rotated by angle then
(NIA)
An arrangement of three parallel straight wires placed perpendicular to plane of paper carrying same current 'I along the same direction is shown in fig. Magnitude of force per unit length on the middle wire ' ' is given by
Force per unit length betweef two parallel current car-
rying conductors,
Since same current flowing through both the wires
Magnitude of force per unit length on the middle wire 'B'
Current sensitivity of a moving coil galvanometer is and its voltage sensitivity (angular deflection per unit voltage applied) is . The resistance of the galvanometer is
Current sensitivity of moving coil galvanometer
Voltage sensitivity of moving coil galvanometer,
Dividing eqn. (i) by (ii)
Resistance of galvanometer
A metallic rod of mass per unit length is lying horizontally on a smooth inclined plane which makes an angle of with the horizontal. The rod is now allowed to slide down by flowing a current through it when a magnetic field of induction is acting on it in the vertical direction. The current flowing in the rod to keep it stationary is
From figure, for equilibrium,
A cylindrical conductor of radius is carrying a constant current. The plot of the magnitude of the magnetic field, with the distance, , from the centre of the conductor, is correctly represented by the figure :
Inside
Magnetic field inside conductor
This is straight line passing through origin At surface
Maximum at surface
Outside ( or Hyperbolic
A long solenoid of length having 100 turns carries a current of . The magnetic field at the centre of the solenoid is :
Magnetic field at the centre of solenoid,
Given : No. of turns / length,
An infinitely long straight conductor carries a current of as shown. An electron is moving with a speed of parallel to the conductor. The perpendicular distance between the electron and the conductor is at an instant. Calculate the magnitude of the force experienced by the electron at that instant.
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