An electron and a proton, moving with equal velocity, enter a region of uniform, perpendicular magnetic field. Calculate the ratio of the radii of their circular paths in
the field.
The Lorentz magnetic force supplies the centripetal force, so:
_____ ______ ____ __________ ________ __________ ____ __________ _____ _______ _________.
_________ ____ ____ ___ ____ _________ ____ ______ __________.
__________ __________ _______ ____ __________ ___.
____ ___ _________ _______ _____.
___ _________ ______ __________.
- Solved Assignments
- Study Notes
- Guess Papers
- Question Papers
✓ Unlock up to 60% of the answer
✓ No payment required
Using Maxwell’s equations in free space, derive the wave equation for the
electric field vector. Obtain the conditions under which the following time varying electric and magnetic fields satisfy Maxwell’s equations in vacuum with no source charges or currents:
E = kˆ E0 sin ( y − vt)
B = ˆi B0 sin ( y − vt)
where E0 and B0 are constant.
At the centre of an air core solenoid, the value of the magnetic field B is 0.40 mT. If
the current flowing in the solenoid is 0.4 A, calculate the number of turns per cm.
Show that, if there are any unbalanced, static charges on an isolated conductor, they
must reside on its surface.
The radius of the wire in a coaxial cable is 0.65 mm and the inner radius of the coaxial conducting cylinder is 1.45 mm. Assuming that there is vacuum between the
wire and the cylinder, calculate the capacitance of a 1.5 m length of the cable.
A long, straight wire of radius 5.0 mm carries a current of 20A. i) Calculate the magnetic field at the surface of the wire, and ii) calculate the perpendicular distance, from the axis of the wire, at which the magnitude of magnetic field will be half of
its value at the wire surface.
The magnitude of work done in taking a unit positive charge in electric field E from point A to point B is given by:
Show that the value of the line integral of the electric field (right hand side of the above equation) does not depend on the path taken to move the unit positive charge
from point A to B.
What is the difference between ohmic conductor and non-ohmic conductor? Give
one example each and draw their IV characteristic curves.