Question 1 :
A charge + Q is located in space at the point $(x=1m,y=10m,z=5m)$. What is the total electric flux that passes through the yz-plane?

Question 3 :
A gold leaf electroscope is given a positive charge so that its leaves diverge. How is the divergence of leaves affected, when a negatively charged rod is brought near its disc?

Question 5 :
When a glass rod is rubbed with silk cloth, it acquires positive charge because:

Question 6 :
An electric line of force in the $xy-plane$ is given by equation $x^{2} + y^{2} = 1$. A particle with unit positive charge, initially at rest at the point $x = 1, y = 0$ in the $xy - plane$.

Question 7 :
12 positive charges of magnitude q are placed on a circle of radius R in a manner that they are equallyspaced. A charge +Q is placed at the centre. If one of the charges q is removed, then the force on Q is

Question 8 :
You are provided with a negatively charged gold leaf electroscope. State and explain what happens when an ebonite rod rubbed with fur is brought near the disc of electroscope.

Question 9 :
The charges from one body can be Transferred to another body but the total charge of a system ...........<br>

Question 10 :
The electric field strength produced at a point some distance away from a source charge does NOT depend on:<br/>

Question 13 :
The coulombic force of attraction between two charges increases with increase in the distance of separation between them.

Question 14 :
A square current carrying loop is suspended in a uniform magnetic field acting in the plane of the loop. If the force on one arm of the loop is<b>F</b>, the net force on the remaining three arms of the loop is:

Question 17 :
What are the charge density on the surface of a conducting sphere of radius $0.15 m$ whose potential is $200 V$ (with $V = 0$ at infinity)?

Question 18 :
$A$ and $B$ are two points on the axis and the perpendicular bisector respectively of an electric dipole. $A$ and $B$ are far away from the dipole and at equal distance from it. The field at $A$ and $B$ are $\vec{E}_{A}$ and $\vec{E}_{B}$.<br>

Question 19 :
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 20 :
Surface density of charge on a sphere of radius $R$ in terms of electricity intensity $E$ at a distance $r$ in free space is ________.($\epsilon_0$= permittivity of free space)<br/>

Question 21 :
In a region, the intensity of an electric field is given by $E = 2i + 3j + k$ in $NC^{-1}$. The electric flux through a surface $S = 10i \ m^{2}$ in the region is:

Question 22 :
Two thin rods of length L lie along x-axis, one between $\displaystyle x = \frac{a}{2} &#160;\ \ \ &#160; to &#160; \ \ \ \ \ x = \frac{a}{2} + L$ and the other between $x = \displaystyle -\frac{a}{2} &#160;to &#160;\ \ \ \ \ x = - \frac{a}{2} - L$.<br/>Each rod has positive charge Q distributed uniformly along the length. Find the magnitude of the force which one rod exerts on the other.

Question 23 :
A point charge $q$ is placed at a point on the axis of a non-conducting circular plate of radius $r$ at a distance $R (R &gt;&gt; r)$ from its center. The electric flux associated with the plate is :<br/>

Question 24 :
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 :
A sphere of radius R carries charge such that its volume charge density is proportional to the square of the distance from the center. What is the ratio of the magnitude of the electric field at distance 2R from the center to the magnitude of the electric field at a distance of R/2 from the center?

Question 26 :
The magnitude of electric field as a function of the distance r inside the sphere is given by :

Question 27 :
The expression for electric field intensity at a point outside uniformly charged thin place sheet is (d is the distance of point from plane sheet)

Question 28 :
Charges $Q_1$ and $Q_2$ lie inside and outside respectively of a closed surface S. Let E be the field at anypoint on S and $\phi$be the flux of E over S

Question 29 :
Electric flux through a surface of area $100\ m^{2}$ lying in the xy plane is (in V-m) if $\vec{E}=\hat{i}+\sqrt{2}\hat{j}+\sqrt{3\hat{k}}$<br/>

Question 30 :
A solid sphere of radius $R$ has a charge $Q$ distributed in its volume with a charge density $\rho =\kappa { r }^{ a }$, where $\kappa$ and $a$ are constants and $r$ is the distance from its centre.<br>If the electric field at $r=\cfrac{R}{8}$ is $\cfrac{1}{8}$ times that at $r=R$, find the value of $a$ .