Maths-

#### Solution of differential equation is

Maths-General

#### Answer:The correct answer is:

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### Related Questions to study

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 is

#### Four 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 is

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 4capacitor, hence effective capacitance is

This is connected in series with 4capacitor, hence effective capacitance is

#### The 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

This is connected in series with 4capacitor, hence effective capacitance is

maths-

#### Integrating factor of the differential equation is

#### Integrating factor of the differential equation is

maths-General

physics-

#### In given circuit when switch has been closed then charge on capacitor and respectively are

The circuit is given as

Let be the charge after switch has been closed.

Then,

…(i)

But we know that, charge is conserved

or …(ii)

On putting the value of Eq. (ii)

Now, from Eq. (i)

Hence,

Let be the charge after switch has been closed.

Then,

…(i)

But we know that, charge is conserved

or …(ii)

On putting the value of Eq. (ii)

Now, from Eq. (i)

Hence,

#### In given circuit when switch has been closed then charge on capacitor and respectively are

physics-General

The circuit is given as

Let be the charge after switch has been closed.

Then,

…(i)

But we know that, charge is conserved

or …(ii)

On putting the value of Eq. (ii)

Now, from Eq. (i)

Hence,

Let be the charge after switch has been closed.

Then,

…(i)

But we know that, charge is conserved

or …(ii)

On putting the value of Eq. (ii)

Now, from Eq. (i)

Hence,

physics-

#### 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

maths-

#### Solution of differential equation is

#### Solution of differential equation is

maths-General

physics-

#### If a cooling curve is drawn taking t(s) along X-axis and temperature (q) along Y-axis, it appears as

#### If a cooling curve is drawn taking t(s) along X-axis and temperature (q) along Y-axis, it appears as

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 is

#### A 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 is

physics-

#### 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

Now, three capacitors each of value are in series. Hence, their equivalent capacitance is given by

or

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

Now, three capacitors each of value are in series. Hence, their equivalent capacitance is given by

or

or

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-

#### In the given figure, a hollow spherical capacitor is shown. The electric field will not be zero at

The electric field of a hollow spherical capacitor is localised in between inner and outer surface of the spherical conductor.

Therefore, at point , the electric field will not be zero.

Therefore, at point , the electric field will not be zero.

#### In the given figure, a hollow spherical capacitor is shown. The electric field will not be zero at

physics-General

The electric field of a hollow spherical capacitor is localised in between inner and outer surface of the spherical conductor.

Therefore, at point , the electric field will not be zero.

Therefore, at point , the electric field will not be zero.

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