SOME NUMERICALS RELATED TO MOVING CHARGE & MAGMATISM

NUMERICALS( MOVING CHARGE & MAGMATISM)

1. A wire placed along the north - south direction carries a current of 8 Amp from south to north. Find magnetic field due to 1cm piece of wire at a point 200 north - east from the piece.

2.A vertical wire in which a current is flowing & produces a neutral point with the earth's magnetic field at a distance of 10 cm from the wire. What is the current if B (horizontal) = 1.8 × 10^-4 T?

3.A circular current carrying coil has a radius R. The distance from the center of the coil on the axis where the magnetic induction will be 1/8th to its value at the center of the coil. Find the distance between center of axis & point ?

4.The magnetic field at the center of a 50 cm long solenoid is 4π ×10^-2T when a current of 8Amp flows through it. What is the number of solenoid?

5.A coil wrapped around a toroid has inner radius of 20 cm & outer radius is 25 cm . If the maximum magnetic field inside toroid is 9.6 mT. Find the magnitude of minimum magnetic field inside the toroid ?

6.A charged particles of mass 5mg & charge q = +2uc has velocity x = 2î - 3j + 4k. Find out the magnetic force & its acceleration at this instant due to magnetic field B = +3j -2k. V & B are in m/sec & wb/m2 respectively.

7.A Charged particles is projected in a magnetic field of (5i -2j ) T. If the acceleration of the particles is found to be (xî+ 5j)m/sec2. Find x ?

8.In an experiment, e- are accelerated from rest by applying a voltage of 500 v. Calculate the radius of a path, if a magnetic field 100 mT is then applied.

9.The maximum torque acting on a coil of effective area 0.04m2 is   4 × 10^-2 Nm. When the current in it is 100 uA. Find B ?

10.The current loop is kept in a uniform magnetic field such that it experience half of the maximum torque. Find ø between M and B?