(a) define electrie flux. Write its, S.I unit.
" Gauses's law in electrostatis is true for any closed surface, no matter what its shape or size is.
Justify this statement with the help of a suitable example.
(b) Use Gauss's law to prove that the electric field inside a uniformly charged spherical shell is zero.

Assertion : Total flux through a closed surface is zero if no charge is enclosed by the surface. Reason : Gauss law is true for any closed surface, no matter what its shape or size is.

Define electric flux. Write its SI unit. A charge q is enclosed by a spherical surface of radius R. If the radius is reduced to half, how would the electric flux through the surface change ?

(a) Define electric flux. Write its S.I. units. (b) Using Gauss's law, prove that the electric field at a point due to a uniformly charged infinite plane sheet is independent of the distance from it. (c ) How is the field directed if (i) the sheet is positively charged, (ii) negatively charged ?

(a) Define electric flux. Write its SI units. (b) The electric field components due to a charge inside the cube of side 0.1 m are as shown : E_(x)=alpha x, where alpha=500N//C-m E_(y)=0, E_(z)=0 . Calculate (i) the flux through the cube, and (ii) the charge inside the cube.

(a) Define electric flux. Write its SI units. (b) The electric field components due to a charge inside the cube of side 0.1 m are as shown : E_(x)=alpha x, where alpha=500N//C-m E_(y)=0, E_(z)=0 . Calculate (i) the flux through the cube, and (ii) the charge inside the cube.

Define the term .electric flux.. Write its SI units. What is the flux due to electric field vec(E)=3xx10^(3) hat(i) N//C through a square of side 10 cm, when it is held normal to vec(E) ?

A spherical shell made of plastic, contains a charge Q distributed uniformly over its surface. What is the electric field inside the shell? If the shell is hammered to deshape it without altering the charge. Will the field inside be changed? What happend if the shell is made of a metal?

A spherical conducting shell of inner radius r_(1) and outer radius r_(2) has a charge Q. (a) A charge q is placed at the center of the shell. What is the surface charge density on the inner and outer surfaces of the shell ? (b) Is the electric field intensity inside a cavity (with no charge) zero, even if the shell is not spherical, but has any irregular shape ? Explain.

Consider a point charge q=1 m C placed at a corner of a cube of sides 10 cm . Determine the electric flux through each face of the cube. Strategy : We will learn about the utility of symmetry in solving problems with the help of Gauss's law . Here we'll use the symmetry of the situation,which involves the faces joining at the corner at which the charge resides. (a) A charge q is placed atthe corner of a cube. (b) By surrounding the charge with a series of cubes such that the charge is at the centre of a larger cube, we have created an arrangement sufficiently symmetric to be able to solve for desired flux values. You can see from figure that for these faces vec(E).hat(n)=0 . Since the normal is perpendicular to the surfaces while the electric field goes off in a spherically symmetric pattern and lies in the sides . In other words , the electric field that originates at the charge is tangential to the surface of these three sides. This means there is no flux through these sides. The electric flux through each of the remaining three faces of the be must be equal by symmetry . We'll referto these faces with the label F. To fidn the flux through each of the sides F, we acan use a technique that puts the single charge in the middle of a larger cube. It takes seven other similarly placed cubes to surrounds the points charge q completely in figre. The charge is at the dead centre of the enw larger cube. So, the flux through each of the six sides of the large cube will now have an electric flux of one sixth of the total flux F. So given that the total structure is completely symmetric, the flux through a side F is one fourth of the flux through the larger side.

A small metal sphere carrying charge +Q is located at the centre of a spherical cavity inside a large uncharged metallic spherical shell as shown in the figure. Use Gauss’s law to find the expressions for the electric field at points p_(1) and p_(2) . Also draw the pattern of electric field lines in this arrangement.