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Electricity and Magnetism
Two point charges +q and -q are separated by distance d. A particular electric field emanating from charge +q at an angle of 60° attains maximum height h above line AB as shown. If h= ((√x)d)/6, then find the value of x.
Electricity and Magnetism
A constant current I follows a closed path wrapped around a cylinder of radius a. In cylindrical coordinates, the position vector of a point on this circuit is given by r=ap+bsin nZ where b is constant and n is a positive integer>=2. find the magnetic dipole moment m of this current distribution.
Electricity and Magnetism
Show that for two scalar fields f and g:
∇.[∇f ×( f ∇g)]= 0
∇.[∇f ×( f ∇g)]= 0
Electricity and Magnetism
a) Three charges q, 2q and q are to be placed on a straight wire of length 10 m.
Determine the positions where the charges should be placed so that the electrostatic potential energy of the system is a minimum.
Determine the positions where the charges should be placed so that the electrostatic potential energy of the system is a minimum.
Electricity and Magnetism
the Three charges q, 2q and q are
Electricity and Magnetism
Three charges q, 2q and q are to be placed on a straight wire of length 10 m.
Determine the positions where the charges should to be placed so that the
electrostatic potential energy of the system is a minimum.
Determine the positions where the charges should to be placed so that the
electrostatic potential energy of the system is a minimum.
Electricity and Magnetism
The volume charge density of a solid sphere of radius 0.75 m is 0.25 nCm−3 . Apply Gauss’s law to calculate the
a) electric flux through the sphere and
b) electric field at a distance of 1.5 m and at a distance of 0.50 m from the centre of the sphere, respectively. If this sphere were made of conducting material, what would the values of the electric fields be at these distances?
a) electric flux through the sphere and
b) electric field at a distance of 1.5 m and at a distance of 0.50 m from the centre of the sphere, respectively. If this sphere were made of conducting material, what would the values of the electric fields be at these distances?
Electricity and Magnetism
The polarisability of a given material is 1.0×10-40 C2
mN−1
. Determine its dielectric
constant if the number of molecules in 1 m3
volume of the material is 5.0×1025.
mN−1
. Determine its dielectric
constant if the number of molecules in 1 m3
volume of the material is 5.0×1025.
Electricity and Magnetism
SUsing Gauss’ Theorem calculate the flux of the vector field F =
xi ˆ+yj^+z kˆ through
the surface of a cylinder of radius A and height H, which has its axis along the z-axis
and the base of the cylinder is on the xy-plane.
xi ˆ+yj^+z kˆ through
the surface of a cylinder of radius A and height H, which has its axis along the z-axis
and the base of the cylinder is on the xy-plane.
Electricity and Magnetism
Two 2.00-µC point charges are located on the x axis. One is at x = 1.00 m, and the other is at x = -1.00 m. (a) Determine the electric field on the y axis at y = 0.500 m. (b) Calculate the electric force on a -3.00-µC charge placed on the y axis at y = 0.500 m
