Electricity and Magnetism Answers

1.A continuos line of charge lies along the x axis, extending from x= x0.to positive infinity.the line carries positive charge with a uniform linear charge density.what are (a) magnitude and b) direction of electric field at the origin.

2.consider a long cylindrical charge distribution of radius R with a uniform charge density p.find the electric field at distance r from the axis where r<R

3.a solid sphere of radius 40.0cm has a total positive charge of 26.0 uniformly distributed throughout it's volume calculate the magnitude of the electric field a)0cm b)10.0 cm c)40.0 cm d)60.0 cm from the centre of sphere

A dielctric of dielectric constant 2.5 is filled in the gap between the plates of a capacitor. Calculate the factor by which the capacitance is increased, if the dielectric is only sufficient to fill up one fourth of the gap

Consider three point charges at the corners of a triangle where q1 = 6.00 nC, q2 = -2.00 nC and q3 = 5.00 nC. Find the components of force F12, F32, resultant force on q2 in terms of magnitude and direction.

A student bringing a negatively charged class rod but she wants to charge an spectroscopy negatively . What should she do to accomplish that ? Why does that work

Assume that the vector field A= 5xyax + xy2ay + 4zaz is defined in a region 1≤ x ≤ 3, −2 ≤ y ≤ 4 and −1≤ z ≤ 2. Find the value of the closed-surface integral ∫∫ A.ds over the surface of this region.

Using Gauss’s theorem, calculate the flux of the vector field F =xˆi + y ˆj + zkˆ through the surface of a cylinder of radius A and height H, which has its axis along the z-axis. The base of the cylinder is on the xy plane.

[img]https://upload.cc/i1/2020/03/13/9nKEaw.jpg[/img]




R=4

[img]https://upload.cc/i1/2020/03/13/Iepuz2.jpg[/img]



R is 4

Two small alum:num spheres. each having mass 00250 kg, are separated by 80.0 cm.
(a) How many electrons does each sphere contain? (The atomic mass of aluminum is 26 {282 g'mol,
and its atomic number is 13.)
(b) How many electrons would have to be removed from one sphere and added to the other to cause
an attractive force between the spheres of magnitude 1.00 X 104 N (roughly 1 ton)? Assume that
the spheres may be treated as point Charges.
(c) What fraction of all the electrons in each sphere does this represent?

[img]https://upload.cc/i1/2020/03/13/Iepuz2.jpg[/img]



R is 4