Maths-
Integrating factor of the differential equation 
is
Maths-General
- tan x
- sin x
- sec x
Answer:The correct answer is: sec x
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physics-
The equivalent capacitance of the combination of the capacitors is
The 10
and 6 capacitors are connected in parallel, hence resultant capacitance is
This is connected in series with 4
capacitor, hence effective capacitance is
and 6 capacitors are connected in parallel, hence resultant capacitance isThis is connected in series with 4
capacitor, hence effective capacitance isThe equivalent capacitance of the combination of the capacitors is
physics-General
The 10 and 6 capacitors are connected in parallel, hence resultant capacitance is
This is connected in series with 4capacitor, hence effective capacitance is
and 6 capacitors are connected in parallel, hence resultant capacitance isThis is connected in series with 4
capacitor, hence effective capacitance isphysics-
A lead shot of diameter 1mm falls through a long column of glycerine The variation of the velocity ‘v’ with distance covered (s) is represented by
A lead shot of diameter 1mm falls through a long column of glycerine The variation of the velocity ‘v’ with distance covered (s) is represented by
physics-General
physics-
Four plates of equal area 
are separated by equal distance 
and are arranged as shown in the figure. The equivalent capacity is
The given circuit is equivalent to a parallel combination of two identical capacitors.
Hence, equivalent capacitance between points
is
Hence, equivalent capacitance between points
isFour plates of equal area are separated by equal distance and are arranged as shown in the figure. The equivalent capacity is
physics-General
The given circuit is equivalent to a parallel combination of two identical capacitors.
Hence, equivalent capacitance between points is
Hence, equivalent capacitance between points
isphysics-
If a cooling curve is drawn taking t(s) along X-axis and temperature (q) along Y-axis, it appears as
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physics-General
maths-
Solution of differential equation xdy – ydx = 0 represents
Solution of differential equation xdy – ydx = 0 represents
maths-General
physics-
Two parallel plates of area are separated by two different dielectric as shown in figure. The net capacitance is
Two parallel plates of area are separated by two different dielectric as shown in figure. The net capacitance is
physics-General
physics-
A network of six identical capacitors, each of value
, is made as shown in the figure.
The equivalent capacitance between the points 
is
In the given circuit capacitor’s (1) (2) and (3) are connected in series, hence equivalent capacitance is
This is connected in parallel with (4).
The three capacitor’s (5),
(6) are now connected in series.
Equivalent capacitance is
This is connected in parallel with (4).
The three capacitor’s (5),
(6) are now connected in series. Equivalent capacitance isA network of six identical capacitors, each of value, is made as shown in the figure.
The equivalent capacitance between the points is
physics-General
In the given circuit capacitor’s (1) (2) and (3) are connected in series, hence equivalent capacitance is
This is connected in parallel with (4).
The three capacitor’s (5), (6) are now connected in series.
Equivalent capacitance is
This is connected in parallel with (4).
The three capacitor’s (5),
(6) are now connected in series. Equivalent capacitance isphysics-
The equivalent capacitance between the points 
in the following circuit is
The two capacitors each of value 1.5 are in parallel. So, their equivalent capacitance
Now, three capacitors each of value
are in series. Hence, their equivalent capacitance is given by
or
or
are in parallel. So, their equivalent capacitanceNow, three capacitors each of value
are in series. Hence, their equivalent capacitance is given byor
or
The equivalent capacitance between the points in the following circuit is
physics-General
The two capacitors each of value 1.5 are in parallel. So, their equivalent capacitance
Now, three capacitors each of value are in series. Hence, their equivalent capacitance is given by
or
or
are in parallel. So, their equivalent capacitanceNow, three capacitors each of value
are in series. Hence, their equivalent capacitance is given byor
or
maths-
Solution of differential equation 
is
Solution of differential equation is
maths-General
physics-
The equivalent capacitance of the combination shown in figure below is
The three capacitors are in parallel hence, their equivalent capacitance 
The equivalent capacitance of the combination shown in figure below is
physics-General
The three capacitors are in parallel hence, their equivalent capacitance
physics-
A capacitor of capacitance 
is filled with two dielectrics of dielectric constant 4 and 6. What is the new capacitance?
Initially, the capacitance of capacitor
…(i)
When it is filled with dielectric of dielectric constant
as shown, then there are two capacitors connected is parallel. So,
(as area becomes half)
Using Eq. (i), we obtain
…(i)When it is filled with dielectric of dielectric constant
as shown, then there are two capacitors connected is parallel. So,(as area becomes half)
Using Eq. (i), we obtain
A capacitor of capacitance is filled with two dielectrics of dielectric constant 4 and 6. What is the new capacitance?
physics-General
Initially, the capacitance of capacitor
…(i)
When it is filled with dielectric of dielectric constant as shown, then there are two capacitors connected is parallel. So,
(as area becomes half)
Using Eq. (i), we obtain
…(i)When it is filled with dielectric of dielectric constant
as shown, then there are two capacitors connected is parallel. So,(as area becomes half)
Using Eq. (i), we obtain
physics-
In the given network, the value of , so that an equivalent capacitance between and 
is
Or
In the given network, the value of , so that an equivalent capacitance between and is
physics-General
Or
physics-
The total energy stored in the condenser system shown in the figure will be
6
and 3 capacitors are in series
Total energy,
and 3 capacitors are in seriesTotal energy,
The total energy stored in the condenser system shown in the figure will be
physics-General
6 and 3 capacitors are in series
Total energy,
and 3 capacitors are in seriesTotal energy,
physics-
Effective capacitance between points in the figure, shown is
The points 
will be at same potentials since,
Therefore, capacitance of 2 will be unaffected.
So, the equivalent circuit can be shown as.
The effective capacitance in upper arm in series, is given by
The effective capacitance in lower arm in series is given by
Hence, the resultant capacitance in parallel is given by
will be at same potentials since,Therefore, capacitance of 2
will be unaffected.So, the equivalent circuit can be shown as.
The effective capacitance in upper arm in series, is given by
The effective capacitance in lower arm in series is given by
Hence, the resultant capacitance in parallel is given by
Effective capacitance between points in the figure, shown is
physics-General
The points will be at same potentials since,
Therefore, capacitance of 2 will be unaffected.
So, the equivalent circuit can be shown as.
The effective capacitance in upper arm in series, is given by
The effective capacitance in lower arm in series is given by
Hence, the resultant capacitance in parallel is given by
will be at same potentials since,Therefore, capacitance of 2
will be unaffected.So, the equivalent circuit can be shown as.
The effective capacitance in upper arm in series, is given by
The effective capacitance in lower arm in series is given by
Hence, the resultant capacitance in parallel is given by
physics-
Equivalent capacitance between is
The capacitors 2
and 2 of arm 
are in series. So, their equivalent capacitance is 1 which is in parallel with capacitor of 1 of arm 
.So, equivalent capacitance now is 2
.This capacitance is now in series with 2
capacitance of arm 
which equivalents to 1 is in parallel with 1 capacitance of arm 
So, final effective capacitance=2
.Equivalent capacitance between is
physics-General
The capacitors 2
and 2 of arm are in series. So, their equivalent capacitance is 1 which is in parallel with capacitor of 1 of arm .So, equivalent capacitance now is 2
.This capacitance is now in series with 2
capacitance of arm which equivalents to 1 is in parallel with 1 capacitance of arm So, final effective capacitance=2
.