Three capacitances, each of 3 F, are provided. These cannot be combined to provide the resultant capacitance of :
3
The magnitude of the average electric field normally present in the atmosphere just above the surface of the Earth is about
150 N/C, directed inward towards the center of the Earth. This gives the total net surface charge carried by the Earth to be:
+670 kC
 670 kC
 680 kC
+ 680 kC
As we discussed in the concept
Infinite Plane parallel sheets of charge 
If
and
and

Electric Field E = 150 N/C
Total surface charge carried by earth q= ?
As electric field is directed inwards, hence,
Option 1)
+670 kC
Option 2)
 670 kC
Option 3)
 680 kC
Option 4)
+ 680 kC
In the given circuit diagram when the current reaches steady state in the circuit, the charge on the capacitor of capacitance C will be :
As we discussed in concept
where in
at steady state there is no current through r1
Q=
Option 1)
Option 2)
Option 3)
Option 4)
The gap between the plates of a parallel plate capacitor of area A and distance between plates d, is filled with a dielectric whose permittivity varies linearly from at one plate to at the other. The capacitance of capacitor is :
As we discussed in
If K filled between the plates 
 wherein
Option 1)
Option 2)
Option 3)
Option 4)
The electric field in a region of space is given by, where E_{0}=100 N/C. The flux of this field through a circular surface of radius 0.02 m parallel to the YZ plane is nearly :
0.125 Nm^{2}/C
0.02 Nm^{2}/C
0.005 Nm^{2}/C
3.14 Nm^{2}/C
As we discussed in
Electric field \vec{E} through any area \vec{A} 
 wherein
New flux
where
Option 1)
0.125 Nm^{2}/C
Option 2)
0.02 Nm^{2}/C
Option 3)
0.005 Nm^{2}/C
Option 4)
3.14 Nm^{2}/C
A spherically symmetric charge distribution is characterised by a charge density having the following variation :
for r< R
Where r is the distance from the centre of the charge distribution and is a constant. The electric field at an internal point (r < R) is :
As we discussed in comcept
If P lies inside 

where
=
=
Option 1)
Option 2)
Option 3)
Option 4)
A parallel plate capacitor is made of two plates of length l, width w and separated by distance d. A dielectric slab (dielectric constant K) that fits exactly between the plates is held near the edge of the plates. It is pulled into the capacitor by a force where U is the energy of the capacitor when dielectric is inside the capacitor up to distance x (See figure). If the charge on the capacitor is Q then the force on the dielectric when it is near the edge is :
As we discussed in concept
If K filled between the plates 
 wherein
Option 1)
Option 2)
Option 3)
Option 4)
A cone of base radius R and height h is located in a uniform electric field parallel to its base. The electric flux entering the cone is :
As we discussed in the concept
Electric field \vec{E} through any area \vec{A} 
 wherein
Area of facing =
Option 1)
Option 2)
Option 3)
Option 4)
This question has statement 1 and statement 2. Of the four choices given after the statements, choose the one that best describes the two statements.
An insulating solid sphere of radius R has a uniformly positive charge density . As a result of this uniform charge distribution there is a finite value of electric potential at the centre of the sphere, at the surface of the sphere and also at a point out side the sphere. The electric potential at infinity is zero.
Statement 1 : When a charge q is taken from the centre to the surface of the sphere, its potential energy changes by
Statement 2 : The electric field at a distance r(r < R) from the centre of the sphere is
Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for statement 1.
Statement 1 is true, Statement 2 is false
Statement 1 is false, Statement 2 is true
Statement 1 is true, Statement 2 is the correct explanation for statement 1
As we discussed in
If P lies at centre r = 0 
i.e

Potential at the centre of the sphere,
Potential at the surface of the sphere,
When a charge q is taken from the centre to the surface, the change in potential energy is
Statement 1 is false. Statement 2 is true.
Option 1)
Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for statement 1.
Option 2)
Statement 1 is true, Statement 2 is false
Option 3)
Statement 1 is false, Statement 2 is true
Option 4)
Statement 1 is true, Statement 2 is the correct explanation for statement 1
In a uniformly charged sphere of total charge Q and radius R the electric field E is plotted as a function of distance from the centre. The graph which would correspond to the above will be :
: For uniformly charged sphere
As we discussed in
Graph   wherein
The variation of E with distance r from the centre is as shown.
Option 1)
Option 2)
Option 3)
Option 4)
Two capacitors C_{1} and C_{2} are charged to 120 V and 200 V respectively. It is found that by connecting them together the potential of each one can be made zero. Then :
9C_{1} = 4C_{2}
5C_{1} = 3C_{2}
3C_{1} = 5C_{2}
3C_{1} + 5C_{2} = 0
As we discussed in
Parallel Grouping 
 wherein
Option 1)
9C_{1} = 4C_{2}
Option 2)
5C_{1} = 3C_{2}
Option 3)
3C_{1} = 5C_{2}
Option 4)
3C_{1} + 5C_{2} = 0
Two charges, each equal to q, are kept at on the  axis. A particle of mass m and charge is placed at the origin. If charge is given a small displacement  axis,the net force acting on the particle is proportional to :
As we discussed in
Magnitude of the Resultant force 
 wherein
Option 1)
Option 2)
Option 3)
Option 4)
A charge Q is uniformly distributed over a long rod AB of length L, as shown in the figure. The electric potential at the poing O lying at a distance L from the end A is :
As we discussed in
Potential Difference 

Charge on the element
Potential at 0
Option 1)
Option 2)
Option 3)
Option 4)
A parallel plate capacitor is made of two circular plates separated by a distance of 5 mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is 310^{4} V/m, the charge density of the positive plate will be close to :
As we discussed in the concept
Infinite Plane Parallel sheets of charge 
If
and E_{Q} = 0

Charge density
=
Option 1)
Option 2)
Option 3)
Option 4)
Assume that an electric field exists in space. Then the potential difference V_{A}  V_{O}, where V_{O} is the potential at the origin and V_{A} the potential at x=2 m is :
120 J
120 J
 80 J
80 J
As we discussed in the concept
In space 
, ,

Option 1)
120 J
Option 2)
120 J
Option 3)
 80 J
Option 4)
80 J
The space between the plates of a parallel plate capacitor is filled with a ‘dielectric’ whose ‘dielectric constant’ varies with distance as per the relation :
The capacitance C, of this capacitor, would be related to its ‘vacuum’ capacitance C_{o} as per the relation :
As we discussed in
The boundary Conditions 

Capacitance of Conductor 
 wherein
C  Capacity or capacitance of conductor
V  Potential.
Given
S= surface area of plate.
here,
Option 1)
Option 2)
Option 3)
Option 4)
An electric dipole has a fixed dipole moment , which makes angle θ with respect to xaxis. When subjected to an electric field it experiences a torque When subjected to another electric field it experiences a torque The angle θ is :
30^{0}
45^{0}
60^{0}
90^{0}
When we move a charge of 20 coulombs by a distance of 2 cm, then 2 Joule of work is done. What is the potential difference between the initial and final position of charge?
4 V
0.6 V
0.1 V
8 V
What will be the value of E and V at the centroid of equilateral if we place charges 2q, –q and q at the vertices of the equilateral triangle?
E is not equal to 0 and V is equal to zero
V is not equal to 0 and E is equal to zero
Both are equal to zero
None of above
Two identical parallel plate capacitors are connected in series to a battery of 50V. A dielectric slab of dielectric constant 4.0 is inserted between the plates of second capacitor. The potential difference across the capacitors will now be respectively
50V, 50V
40V, 10V
10V, 40V
None of these