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Unit of magnetic intensity at a point in a magnetic field in c.g.s system is

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Important Questions on Magnetostatics

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An electron moving with a uniform velocity along the positive x-direction enters a magnetic field directed along the positive y-direction. The force on the electron is directed along,
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A beam of electrons, whose kinetic energy is K, emerges from a thin-foil "window" at the end of an accelerator tube. A metal plate, at distance d from this window, is perpendicular to the direction of the emerging beam. How should B be oriented to prevent the beam from hitting the plate?

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HARD
A magnetic field set up using Helmholtz coils is uniform in a small region and has a magnitude of 0.75 T. In the same region, a uniform electrostatic field is maintained in a direction normal to the common axis of the coils. A narrow beam of (single species) charged particles all accelerated through 15 kV enters this region in a direction perpendicular to both the axis of the coils and the electrostatic field. If the beam remains undeflected when the electrostatic field is 9×10-5 Vm-1, make a simple guess as to what the beam contains. Why is the answer not unique?
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Two long wires carrying current I1 and I2 are arranged as shown in figure. The one carrying current I1 is along the x-axis. The other carrying current I2 is along a line parallel to the y-axis given by x=0 and z=d. Find the force exerted at O2 because of the wire along the x-axis.

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A charged particle would continue to move with a constant velocity in a region where in,
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A proton of charge +e and mass m, enters a uniform magnetic field B=Bi^ with an initial velocity v=voxi^+voyj^. Find an expression, in the unit-vector notation, for its velocity at any later time t.
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A vertical wire carrying a current in the upward direction is placed in horizontal magnetic field directed towards north. The wire will experience a force directed towards,
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A solenoid 60 cm long and of radius 4·0 cm has 3 layers of windings of 300 turns each. A 2·0 cm  long wire of mass 2·5 g lies inside the solenoid (near its centre) normal to its axis; both the wire and the axis of the solenoid are in the horizontal plane. The wire is connected through two leads parallel to the axis of the solenoid to an external battery which supplies a current of 6·0 A in the wire. What value of current (with an appropriate sense of circulation) in the windings of the solenoid can support the weight of the wire? g=9·8ms-2
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Bainbridge’s mass spectrometer separates ions having the same velocity. The ions, after entering through slits, S1and S2, pass through a velocity selector composed of an electric field produced by the charged plates P and P' and a magnetic field B perpendicular to the electric field and the ion path. Ions that then pass undeviated through the crossed E and B  field enter into a region where a second magnetic field B' exists, where they are made to follow circular paths. A photographic plate (or a modern detector) registers their arrival. If r is the radius of the circular orbit, then specific charge qm of ion is 

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Do magnetic forces obey Newton’s third law. Verify for two current elements dl1=dl i^ located at the origin anddl2=dl j^ located at (0, R, 0). Both carry current I.
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A current carrying circular loop of radius R is placed in the x-y plane with centre at the origin. Half of the loop with x>0 is now bent so that it now lies in the y-z plane.
 
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In the given figure, an electron moves at speed v=100 m s-1 along an x-axis, through uniform electric and magnetic fields. The magnetic field is directed into the page and has magnitude 5.00 T. In unit-vector notation, what is the electric field?

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In Fleming's left hand rule, the thumb points in the direction of

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An electron is moving west to east enters a chamber having a uniform electrostatic field in the north to south direction. Specify the direction in which a uniform magnetic field should be set up to prevent the electron from deflecting from its straight-line path.
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A particle with charge 2.0 C moves through a uniform magnetic field. At one instant, the velocity of the particle is (2.0i^+4.0j^+6.0k^) m s-1 and the magnetic force on the particle is (4.0i^-20j^+12k^) N. The x and y components of the magnetic field are equal. What is B?
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A circular coil of 20 turns and radius 10 cm is placed in a uniform magnetic field of 0·10T normal to the plane of the coil. If the current in the coil is 5·0 A, what is the total force on the coil,
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A circular coil of 20 turns and radius 10 cm is placed in a uniform magnetic field of 0·10T normal to the plane of the coil. If the current in the coil is 5·0 A, what is the average force on each electron in the coil due to the magnetic field?
(The coil is made of copper wire of cross-sectional area 10-5m2 and the free electron density in copper is given to be about 1029m-3.)
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An electron (mass=9.1×10-31 kg; charge=1.6×10-19 C) experiences no deflection if subjected to an electric field of 3.2×105 V m-1 and a magnetic field of 2×10-3 Wb m-2. Both the fields are normal to the path of the electron and to each other. If the electric field is removed, then the electron will revolve in an orbit of radius
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The magnetic force depends on v which depends on the Inertial frame of reference. Does then the magnetic force differ from Inertial frame to frame? Is It reasonable that the net acceleration has a different value In different frames of reference?