Question 1 :
If a charge $-150\ nC$ is given to a concentric spherical shell and a charge $+50\ nC$ is placed at its centre, then the charge on inner and outer surface of the shell is

Question 2 :
Three charge $q,Q,4q$ are placed in a straight line of length $l$ at points distant $0,\cfrac{l}{2},l$ respectively from one end. In order to make the net force on $q$ zero, the charge $Q$ must be equal to :

Question 3 :
The function of potential in an electric field is given by $ V=-5 x+3 y+\sqrt{15 z} $. The electric field intensity atpoint $ (x, y, z) $ in S.l. system will be:

Question 5 :
Two metallic spheres of radii $1cm$ and $3cm$ are given charges of $-1\times {10}^{-2}C$ and $5\times {10}^{-2}C$, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is-

Question 6 :
Eight charges, $1\mu C, -7 \mu C, -4 \mu C, 10\mu C, 2\mu C, -5\mu C, -3\mu C, and \ 6\mu C$ are situated at the eight corners of a cube of side $20$ cm. A spherical surface of radius $80$ cm encloses this cube. The center of the sphere coincides with the center of the cube. Then, the total outgoing flux from the spherical surface (in units of Vm) is :

Question 7 :
In a region of space, the electric field is given by $\vec{E}=8\hat{i}+4\hat{j}+3\hat{k}$. The electric flux through a surface of area $100$ units in the xy plane is :

Question 8 :
Three charged particles are in equilibrium under their electrostatic forces only:<br>

Question 9 :
Consider two statements:<br><br>A) The force with which two charges interact is not changed by the presence of the other charges.<br>B) Electric force experienced by the charge particle due to number of fixed point charges is vector resultant of the forces experience due to individual charge.

Question 10 :
If the potential at each point on a conductor is same to each other, then

Question 11 :
<p class="wysiwyg-text-align-left"><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">Three identical charges of magnitude $2\mu C$<i>&#160;</i><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">are&#160;placed at the corners of a right angled triangle&#160;ABC whose base BC and height BA are&#160;respectively $4\ cm$ and $3\ cm$. Forces on the charge at the right angled corner B due to the charges&#160;<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">at A and C are respectively $F_{1}$<span class="wysiwyg-font-size-xx-small"><span class="wysiwyg-font-size-xx-small"> <span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">and $F_{2}$<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">. The angle&#160;<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">between their resultant force and $F_{2}$ <span class="wysiwyg-font-size-xx-small"><span class="wysiwyg-font-size-xx-small">&#160;<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">is :</p>

Question 12 :
Two identical charged spheres suspended from a common distance $d(d &lt; &lt; 1)$ apart because of their mutual repulsion. The charged begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity $v$. Then $v$ varies as a function of the distance $x$ between the spheres, as

Question 13 :
Two free positive charges $4q$ and $q$ are kept at a distance $l$ apart. What charge $Q$ is needed to achieve equilibrium for the entire system and where should it be placed from charge $q$?

Question 14 :
A point charge of $+6\mu C$ is placed at a distance 20 cm directly above the centre of a square of side 40 cm. The magnitude of the flux through the square is

Question 15 :
If one penetrates a uniformly charged solid sphere, the electric field $E$:<br/>

Question 16 :
Two point charge -q and +q/2 are situated at the origin and the point (a,0,0) respectively. The point along the X-axis where the electric field vanishes is&#160;

Question 17 :
A change of $1\ \mu C$ is divided into two parts such that their charges are in the ratio of 2:3. These two charges are kept at a distance 1 m apart in vaccum. Then, the electric force between them (in Newton) is

Question 18 :
Gauss's law is true only if force due to a charge varies as

Question 19 :
A body has a positive charge of $8\times 10^{-19}$C. It has :

Question 20 :
Determine the electric field everywhere outside the sphere at a distance $r(&gt;&gt;a)$ from the centre.

Question 21 :
Let $E_1(r), E_2(r)$ and $E_3(r)$ be the respective electric fields at a distance r from a point charge Q, an infinitely long wire with constant linear charge density $\lambda$, and an infinite plane with uniform surface charge density $&#160;\sigma $. lf $E_1(r_0) = E_2(r_0) = E_3(r_0)$ at a given distance $r_0$, then :<br/>

Question 22 :
A particle of mass $m$ and charge $q$ at rest is released in a uniform electric field between parallel planes of charge $+q$ and $-q$ respectively. The particle accelerates towards the other place a distance $'d'$ away. The speed at which it strikes the opposite plane is:

Question 23 :
Let E$_1$(r), E$_2$(r) and E$_3$(r) be the respective electric fields at a distance r from a point charge Q, an infinitely long wire with constant linear charge density $\lambda$, and an infinite plane with uniform surface charge density $\sigma$. If E$_1(r_0) = E_2 (r_0) = E_3 (r_0)$ at a given distance r$_0$, then :

Question 25 :
Find the electric field at a distance $x$ from the centreinside the shell.

Question 26 :
A system consists of a thin charged wire ring of radius r and a very long uniformly charged wire oriented along the axis of the ring, with one of its ends coinciding with the center of the ring. The total charge on the ring is q, and the linear charge density on the straight wire is $\lambda$. The interaction force between the ring and the wire is :

Question 27 :
Two charged spheres having radii a and b are joined with a wire then the ratio of electric field $\dfrac{E_a}{E_b}$ on their surface is?

Question 28 :
Charges $Q_1$ and $Q_2$ are placed inside and outside respectively of an uncharged conducting shell. Their seperation is r.

Question 29 :
Charges $Q_1$ &#160; and&#160; $Q_2$ lie inside and outside, respectively, of a closed surface S. Let E be the field at any point on S and $\phi$ be the flux of E over S.

Question 30 :
The electric field at a point $2$cm from an infinite line charge of linear charge density $10^{-7}$ $cm^{-1}$ is?