A current of 10A is flowing from east to west in a long wire kept in east-west direction. Find the magnetic field in a horizontal plane at a distance of (1) 10cm north (2) 20cm south from the wire; and in a vertical plane at a distance of (3) 30cm downward (4) 50cm upward.
A short conductor of length 4cm is placed parallel to the long conductor of length 2m near to its centre at a distance of 2cm. The conductor carry currents of 2A and 5A respectively in opposite directions. Find the total force exert on the long conductor.
An electron-gun G emit electron of energy 2KeV travelling in the positive X-direction. The electron are required to hit the spot S where GS= 0.1m, and the line GS makes an angle of 600
with X-axis, as shown in the figure. A uniform magnetic field B
parallel to GS exist in the region outside the electronic-gun. Find the minimum value of B needed to make the electron hit S.
=9.1 x 10-31
kg , e=1.6 x 10-19 C
A particle of mass 1x 10-26
kg and charge 1.6 x 10-19
C travelling with velocity of 1.28 x 106
m/s in +x direction enters a region having electric field E and a uniform magnetic field B such as Ex
= -102.4 V/m and Bx
. The particle enters this region at a long time t=0. Determine the location (x, y and z co-ordinates) of the particle at t=5x10-6
s . If the electric field switched off at this instant (with the magnetic field still present), what will be the position of the particle at t=7.46 x10-6
In a certain region surrounding the origin of the coordinates, B=5 x10-4
T and E=5az
V/m. A proton ( qp
=1.602 x 10-19
kg) enters in the field at the origin with a velocity u0
m/s. Describe the proton’s motion and give its position after three complete revolutions
Find an expression for magnetic field at the centre of a circular current carrying loop.
A current of 1.0 A is flowing in the sides of an equilateral triangle of sides 4.5 x 10-2
m. Find the magnetic field at the centroid of the triangle.
A charge q=40 µC moves with instantaneous velocity u=(5x104
m/s through the uniform fields E=(6x104
) (.52 i
) V/m , B=(1.7)(.693 i
+ .6 j
) T find the magnitude and direction of the instantaneous force on q.
Find the force on each segment of the wire as shown below in the figure
if B=0.15T. Assume that the current in the wire is 5A.
A planar coil of 12 turns carries 15A. The coil is oriented with respect to the uniform magnetic field B=0.2i
T such that its directed area is A=0.04i
. Find (a) the dipole moment of the coil (b)the potential energy of the in the given orientation, and (c)the angle between the positive normal to the coil and the field.
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