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Recent questions in Electrostatic Potential and Capacitance
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JEEMAIN and NEET
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Physics
>>
Class12
>>
Electrostatic Potential and Capacitance
Two concentric conducting spheres of radii R and 2R are carrying charges Q and -2Q respectively . If the charge on inner sphere is doubled the potential difference between the two spheres will becomes
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatics-of-conductors
medium
asked
Feb 7, 2014
by
yamini.v
1
answer
A
4
μ
F
capacitor and a 2.5MW resistor are connected in series with a 12V battery. Find the time after which the potential difference across the capacitor is 3 times the potential difference across the resistor.
jeemain
physics
electrostatic-potential-and-capacitance
cbse
class12
charging-and-discharging-of-capacitors
easy
asked
Feb 6, 2014
by
thanvigandhi_1
1
answer
Calculate the potential energy of the system shown in figure
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential-energy-of-a-system-of-charges
medium
asked
Feb 6, 2014
by
yamini.v
1
answer
An infinite number of charges each numerically equal to q and of the same sign are placed along the x-axis at
x
=
1
,
2
,
4
,
8
−
−
−
−
.
Find elctric potential at
x
=
0
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential-energy-of-a-system-of-charges
medium
asked
Feb 6, 2014
by
yamini.v
1
answer
At a certain distance from a point charge , the field intensity is
500
V
/
m
and the potential is 1500 V . The magnitude of charge is
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
medium
asked
Feb 6, 2014
by
yamini.v
1
answer
If the potential at the centre of a uniformly charged hollow sphere of radius R is V then electric field at a distance r from the centre of sphere will be
(
r
>
R
)
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatics-of-conductors
medium
asked
Feb 6, 2014
by
yamini.v
1
answer
The potential at a point x due to some charges situated on the x- axis is given by
V
(
x
)
=
20
(
x
2
−
4
)
v
o
l
t
. The electric field at x = 4m is given by
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
medium
asked
Feb 6, 2014
by
yamini.v
1
answer
A charge particle 'q' is shot towards another charged particle 'Q' which is fixed , with a speed 'v'.It approaches 'Q' upto a closest distance r and then returns . If q were given a speed of '2v' the closest distance of approach would be
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential-energy-of-a-system-of-charges
medium
asked
Feb 6, 2014
by
yamini.v
1
answer
Two identical particles , each having a charge of
2
×
10
−
4
C
and mass 10g are kept at a separation of 10 cm and released . What would be the speeds of the particles when the separation becomes large ?
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential-energy-of-a-system-of-charges
medium
asked
Feb 5, 2014
by
yamini.v
2
answers
The electric field and the electric potential at a point are E and V respectively
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
easy
asked
Feb 5, 2014
by
yamini.v
1
answer
A point charge q is rotated along a circle in the electric field generated by another point charge Q . The work done by the electric field on the rotating charge in one complete revolution is
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
medium
asked
Feb 5, 2014
by
yamini.v
1
answer
Electric potential has the dimensions of
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
medium
asked
Feb 5, 2014
by
yamini.v
1
answer
Electric potential on the surface of a solid sphere of radius R is V . Then potential at
r
=
R
2
is
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatics-of-conductors
medium
asked
Feb 5, 2014
by
yamini.v
1
answer
Four charges q , -q , q , -q are placed in order on the four consecutive corners of a square of side a . The work done in interchanging the positions of any two neighbouring charges of the opposite sign is
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential-energy-of-a-system-of-charges
medium
asked
Feb 5, 2014
by
yamini.v
1
answer
The electrical potential existing in space is
V
(
x
,
y
,
z
)
=
A
(
x
y
+
y
z
+
z
x
)
. Find the expression for the electric field
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
medium
asked
Feb 5, 2014
by
yamini.v
1
answer
A particle with kinetic energy
10
M
e
V
and charge
4
e
is heading towards a stationary nucleus of atomic number 100 . Calculate the distance of closest approach ?
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential-energy-of-a-system-of-charges
medium
asked
Feb 4, 2014
by
yamini.v
1
answer
A charge q is distributed uniformly on the surface of a sphere of radius R . It is covered by a concentric hollow conducting sphere of radius 2R . Find the charges on the outer surface of hollow sphere if it is earthed
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
medium
asked
Feb 4, 2014
by
yamini.v
1
answer
Find the potential on the edge of a disc of charge density
σ
and radius
R
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatics-of-conductors
difficult
asked
Feb 4, 2014
by
yamini.v
1
answer
A disc having a uniform charge density
σ
and radius
R
is placed on
x
−
y
plane with centre at the origin . Find the electric potential at a point on z - axis at a distance
10
m
from centre .
σ
=
16
∈
0
,
R
=
1
m
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatics-of-conductors
medium
asked
Feb 4, 2014
by
yamini.v
1
answer
Two point charges
q
1
=
q
2
=
2
μ
C
are fixed at
x
1
=
+
3
m
a
n
d
x
2
=
−
3
m
as shown in figure . A third particle of mass 1g and charge
q
3
=
−
4
μ
C
are released from rest at
y
=
4
m
. Find the speed of the particle as it reaches the origin .
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential-energy-of-a-system-of-charges
medium
asked
Feb 4, 2014
by
yamini.v
1
answer
A uniform electric field of 100 V/m is directed at
30
0
with the +ve x - axis as shown in figure . Find the potential difference
V
B
A
if OA=2 m and OB= 4 m
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
medium
asked
Feb 4, 2014
by
yamini.v
1
answer
Consider the charging of a capacitor. Let
Q
1
be the charge given to it in first t seconds and
Q
2
be the charge given to it in the next t seconds. Also, let
t
1
be the time required to deposit a charge Q (less than half the maximum charge) and
t
2
be the time required to deposit an additional charge of Q, then:
jeemain
physics
electrostatic-potential-and-capacitance
cbse
class12
ch2
medium
q5
asked
Feb 3, 2014
by
thanvigandhi_1
1
answer
The work done in placing a charge of
8
×
10
−
18
coulomb on a condenser of capacity 100 micro-farad is
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
parallel-plate-capacitor
easy
asked
Feb 3, 2014
by
yamini.v
1
answer
Two isolated charged conducting spheres of radii a and b produce the same electric field near their surfaces . The ratio of electric potential on their surfaces is
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatics-of-conductors
easy
asked
Feb 3, 2014
by
yamini.v
1
answer
Electric potential is given by
V
=
2
x
2
Find the electric field at
(
1
,
0
,
2
)
in Volt/metre.
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
easy
asked
Jan 31, 2014
by
yamini.v
1
answer
If there are n capacitors in parallel connected to V volt source , then energy stored is equal to
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
combination-of-capacitors
easy
asked
Jan 30, 2014
by
yamini.v
1
answer
If a charge is shifted from a low potential region to high potential region , the electric potential energy
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
easy
asked
Jan 30, 2014
by
yamini.v
1
answer
Metallic sphere of radius R is charged to potential V . The charge q is proportional to
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
easy
asked
Jan 30, 2014
by
yamini.v
1
answer
Electric field and potential inside hollow charged conducting sphere are respectively
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatics-of
conductors
easy
asked
Jan 30, 2014
by
yamini.v
1
answer
On moving a charge of 100 coulombs by 10 cm , 5 J of work is done , then the potential difference between the points is
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
easy
asked
Jan 30, 2014
by
yamini.v
1
answer
In a certain region V=
A
x
y
+
B
x
2
+
C
y
where A , B , C are constants . Find electric field as a function of
(
x
,
y
,
z
)
.
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
easy
asked
Jan 30, 2014
by
yamini.v
1
answer
Electric potential at a point P , due to a point charge q at A at distance r from P is V . Then if double of this charge is uniformly distributed on a hollow sphere of radius 2r centered at A then potential at P due to sphere is
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electric-potential
easy
asked
Jan 30, 2014
by
yamini.v
1
answer
729 drops of same size are charged to a potential of 1 V each . If they coalesce to form a single drop , its potential would be
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
easy
asked
Jan 30, 2014
by
yamini.v
1
answer
Three identical charges
(
q
)
are placed at corners of an equilateral triangle of side l . Find the work require to double the dimensions of traingle
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
potential-energy
easy
asked
Jan 30, 2014
by
yamini.v
1
answer
A ring of radius R is having charges
q
a
n
d
3
q
distributed on its two half parts . The electric potential at a point on the axis
√
3
R
from its centre is
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
easy
asked
Jan 29, 2014
by
yamini.v
1
answer
A proton , a deutron and alpha particle are accelerated through potentials of
V
,
2
V
,
4
V
respectively . Their velocity will bear a ratio .
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential-energy
medium
asked
Jan 29, 2014
by
yamini.v
1
answer
The electric field in a region is given by
→
E
=
5
ˆ
i
−
3
ˆ
j
.
Find
V
B
−
V
A
.
If A is origin & B is
(
0
,
0
,
5
)
m
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
easy
asked
Jan 29, 2014
by
yamini.v
1
answer
An electric field
→
E
=
(
2
ˆ
i
+
3
ˆ
j
)
N
/
C
exists in space . if the potential at the origin is zero , find the potential at
(
2
,
2
)
m
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
easy
asked
Jan 29, 2014
by
yamini.v
1
answer
When the separation between two charges is increased the electric potential energy of the charges
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
easy
asked
Jan 29, 2014
by
yamini.v
1
answer
A charge
−
q
is fixed at each of the points
x
=
2
m
,
x
=
4
m
,
x
=
6
m
.
.
.
.
up to infinity and charge
+
q
is fixed at each of the points
x
=
1
m
,
x
=
3
m
,
x
=
5
m
.
.
.
.
up to infinity. The potential at the origin will be :
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
difficult
asked
Jan 15, 2014
by
meena.p
1
answer
The force of attraction between the plates of parallel plate capacitor having area A and charge Q is given by
jeemain
physics
class12
ch2
electrostatic-potential-and-capacitance
parallel-plate-capacitor
difficult
asked
Jan 15, 2014
by
meena.p
1
answer
A capacitor of capacitance
C
0
is charge to potential
V
0
and then isolated . A small capacitor C is charged from
C
0
, discharge and then charged again; this process is repeated n times. Due to this potential of
C
0
decreases to r. Value of C is :
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
parallel-plate-capacitor
difficult
asked
Jan 15, 2014
by
meena.p
1
answer
If electric field
→
E
=
2
ˆ
i
+
3
ˆ
j
, Potential difference between two point
V
A
−
V
B
, where
r
A
=
ˆ
i
+
2
ˆ
j
and
r
B
=
2
ˆ
i
+
ˆ
j
+
3
ˆ
k
will be
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
difficult
asked
Jan 15, 2014
by
meena.p
1
answer
The capacitor plates are fixed on inclined plane p connected to a battery of emf E. A dielectric slab of mass m and dielectric constant k is inserted into the capacitor and tied to mass M using a weightless string as shown. If capacitance have plate area A, length l and distance d between them. Find M such that slab stays in equilibrium. Assume zero friction between slab and plates
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
effect-of-dielectric-on-capacitance
difficult
asked
Jan 13, 2014
by
meena.p
1
answer
A ring of radius R carries charge
+
q
uniformly distributed on it. If a charge
−
90
is released on ring's axis at a distance
√
3
R
from its centre , the kinetic energy of
−
90
when it reaches the centre of ring will be :
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
difficult
asked
Jan 13, 2014
by
meena.p
1
answer
Six plates of same area A are arranged as shown. Equivalent capacitance of arrangement between A and B is :
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
combination-of-capacitors
difficult
asked
Jan 13, 2014
by
meena.p
1
answer
A uniform electric field of
200
V
m
−
1
is directed
60
∘
to
+
v
e
X-axis . If
O
A
=
2
m
,
V
0
−
V
A
is
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
electrostatic-potential
difficult
asked
Jan 13, 2014
by
meena.p
1
answer
Three concentric spherical conductors are shown, Find equivalent capacitance b/w A and B
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
combination-of-capacitors
difficult
asked
Jan 13, 2014
by
meena.p
1
answer
A cylindrical layer of homogeneous dielectric with dielectric constant K is introduced in a cylindrical capacitor so that a gap of width d is filled in between them. Radius of plate
R
>>
d
. If the capacitor is connected to battery of EMF V, the force pulling the dielectric inside the capacitor is :
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
effect-of-dielectric-on-capacitance
difficult
asked
Jan 13, 2014
by
meena.p
1
answer
In the circuit given below, the position of switch S is shifted from 1 to 2 . choose the correct statement
jeemain
physics
class12
ch2
electrostatics
electrostatic-potential-and-capacitance
combination-of-capacitors
difficult
asked
Jan 10, 2014
by
meena.p
1
answer
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