The electric field in a region is given by E=200hat iN/C for x>0 and -200hat iN/C for x<0 A closed cylinder of length 2m and cross-section area 10^(-2)m^(2) is kept in such a way that the axis of cylinder is along X-axis and its centre coincides with origin.The total charge inside the cylinder is K varepsilon_(0) .Value of K is: (varepsilon_(0) is the permittivity of free space )

The electric field in a region is given by vec(E)=200hati N//C" for "x gt 0" and "-200hati N//C" for "x lt 0 . A closed cylinder of length 2m and cross-section area 10^(2)m^(2) is kept in such a way that the axis of cylinder is along X-axis and its centre coincides with origin. The total charge inside the cylinder is (Take e_(0)=8.25xx10^(-12)C^(2)m^(2).N )

The electric field in a region of space is given by E = (5 hat(i) + 2hat(j))N//C . The electric flux due to this field through an area 2m^(2) lying in the YZ plane, in S.I. unit is :-

The electric field in a region of space is given bar(E)=E_(0)hat i+2E_(0)hat j where E_(0)=100N/C .The flux of this field through a circular surface of radius 0.02m parallel to the Y-Z plane is nearly:

The electric fields in a region is given by vec(E)=E_(0)(x)/(L)hat(i) ,Find the charge contained inside a cubical volume bounded by the surface x=0,x=L,y=0,y=L,z=0,z=L .

The electric field in a region is given by E = (4 axy sqrt(z))hat i + (2 ax^2 sqrt(z)) hat j + (ax^2 y// sqrt(z)) hat k where A is a positive constant. The equation of an equipotential surface will be of the form.

The electric field in a region is given by vec (E ) = (E_(0))/(a) x hat(i) . Find the electric flux passing through a cubical volume bounded by the surfaces x = 0 , x = a , y = 0 , y = a , z = 0 and z = a .

The electric field in a certain region is given by E=5 hat(i)-3hat(j) kv//m . The potential difference V_(B)-V_(A) between points a and B having coordinates (4, 0, 3) m and (10, 3, 0) m respectively, is equal to

The electric field strenth vector is given by E= 2.5x hat I + 1.5y hat .The potential at point (2,2,1) is (considering potential at origin to be zero)

A cube has sides of length L=0.2 m It is placed with one corner at the origin as shown in figure The electric field in uniform and given by vec(E)=(2.5hat(i)-4.2hat(j))N//C .Find the electric flux through the entire cube.

An electric field is uniform, and in the positive x-direction for positive x, and uniform with the same magnitude , but in the negative x-direction for negative x. It is given that vec(E) = 200 hat(i) N//C for x gt 0 and vec(E) = -200 hat(i) N//C for x gt 0. A right circular cylinder of length 20 cm and raidus 5cm has its center at the origin and its axis along the x-axis so that one face is at x = +10 cm and the other is at x = -10 cm . (a) What is the net outward flux through the side of the cylinder ? (b) What is the net outward flux through the cyclinder ? (c) what is net charge inside the cylinder ?