A capacitor of \(2~\mu\text{F}\) is charged as shown in the figure. When the switch \(S\) is turned to position \(2\), the percentage of its stored energy dissipated is:
         

1.	\(20\%\)	2.	\(75\%\)
3.	\(80\%\)	4.	\(0\%\)

If potential (in volts) in a region is expressed as V(x,y,z)=6xy-y+2yz, the electric field (in N/C) at point (1,1,0) is       

1. (3$\hat{i}$+5$\hat{j}$+3$\hat{\mathrm{k}}$)

2. (6$\hat{i}$+5$\hat{j}$+2$\hat{\mathrm{k}}$)

3. (2$\hat{i}$+3$\hat{j}$+$\hat{\mathrm{k}}$)

4. (6$\hat{i}$+9$\hat{j}$+$\hat{\mathrm{k}}$) 

Two thin dielectric slabs of dielectric constants K₁&K₂ ($K_1<K_2$) are inserted between plates of a parallel capacitor, as shown in the figure. The variation of electric field E between the plates with distance d as measured from plate P is correctly shown by  

1.

2. 

3.

4.

A conducting sphere of radius R is given a charge Q. The electric potential and field at the centre of the sphere respectively are

1. zero and Q/4π$\epsilon$_oR² 

2. Q/4π$\epsilon$_oR and zero

3. Q/4π$\epsilon$_oR and Q/4π$\epsilon$_oR²

4. Both are zero

In a region, the potential is represented by V(x,y,z)=6x-8xy-8y+6yz, where V is in volts and x,y,z are in meters. The electric force experienced by a charge of 2 coulomb situated at point (1,1,1) is

1. 6√5N
 

2. 30N
 

3. 24N
 

4. 4√35N

\(A,B\) and \(C\) are three points in a uniform electric field. The electric potential is:
               

Four point charges $-Q,-q,2q<mspace\; width="1em"></mspace>and<mspace\; width="1em"></mspace>2Q$ are placed, one at each corner of the square. The relation between Q and q for which the potential at the centre of the square is zero, is 

1. Q=-q                                       

2. Q=-$\frac{1}{q}$

3. Q=q                                         

4. Q=$\frac{1}{q}$

Two metallic spheres of radii \(1\) cm and \(3\) cm are given charges of \(-1\times 10^{-2}~\text{C}\) and \(5\times 10^{-2}~\text{C},\) respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is:
1. \(2\times 10^{-2}~\text{C}\)
2. \(3\times 10^{-2}~\text{C}\)
3. \(4\times 10^{-2}~\text{C}\)
4. \(1\times 10^{-2}~\text{C}\)

A parallel plate condenser has a uniform electric field \(E\)(V/m) in the space between the plates. If the distance between the plates is \(d\)(m) and area of each plate is \(A(\text{m}^2)\), the energy (joule) stored in the condenser is: