Tag: capacitors in parallel

Questions Related to capacitors in parallel

Two capacitors of capacitance $2\, \mu F$ and $4\, \mu F$ are charge to $200\, V$ and $100\, V$ respectively. They are then connected in parallel to each other. What is the potential across each capacitor ?

  1. $116\, V$

  2. $133\, V$

  3. $148\, V$

  4. $164\, V$


Correct Option: B

A parallel plate capacitor has a capacity C.If a thin metal plate (M) joins the two coating A and B of the capacitor,its new capacitance is

  1. 2 C

  2. C / 2

  3. Zero

  4. Infinity


Correct Option: C

A capacitor is charged by a battery. the battery is removed and another identical uncharged capacitor is connected in parallel. the total electromagnetic energy of resulting system

  1. Decrease by a factor of 2

  2. remains the same

  3. increase by a factor of 2

  4. increase by a factor 4


Correct Option: A

A parallel plate air capacitor has capacity 'C', a distance of separation between plate is 'd' and potential difference 'V' is applied between the plates. Force of attraction between the plates of the parallel plate air capacitor is:

  1. $\dfrac{{C{V^2}}}{{2d}}$

  2. $\dfrac{{C{V^2}}}{{d}}$

  3. $\dfrac{{{C^2}{V^2}}}{{2{d^2}}}$

  4. $\dfrac{{{C^2}{V^2}}}{{{d^2}}}$


Correct Option: A

The distance between the plates of a parallel plate capacitor is $1\ mm$. What must be the area of the plate of the capacitor if the capacitance is to be $1.0\mu F$?

  1. $102.5\ m^{2}$

  2. $205.9\ m^{2}$

  3. $112.9\ m^{2}$

  4. $302.9\ m^{2}$


Correct Option: A

Two parallel plate capacitor of capacitances C and 2C are conncected in parallel and changed to a potential difference V.If  the bsttery is disconnected and the space between the plate of the capacitor of cpacince c is cpmpletely  filled with a metrial of dielectric constant K, then the potential difference a cross the capacitor will be come

  1. $3V\left( {K + 2} \right)$

  2. $\left( {\frac{{K + 2}}{{3V}}} \right)$

  3. $\left( {\frac{{3V}}{{K + 2}}} \right)$

  4. $\frac{{3\left( {K + 2} \right)}}{V}$


Correct Option: C

A parallel plate capacitor has circular plates of $8.0\ cm$ radius and are separated by $1.0\ mm$. Calculate the capacitance.

  1. $120\ pF$

  2. $140\ pF$

  3. $160\ pF$

  4. $180\ pF$


Correct Option: D

two similar capacitor are connected to potential v in  parallel order by separating them and joining them in series

  1. the potential on fees plated will be doubled

  2. the charge on the face free plates will increase

  3. the plates in contact will lose their charge

  4. more energy will be stored in the system.


Correct Option: A

For a given potential difference V how would you connect two capacitors, to obtain greater stored charge :

  1. series

  2. parallel

  3. series and parallel combined

  4. cannot say


Correct Option: B
Explanation:

Since $q=CV$ & capacitance of two capacitor is more in parallel combination as compared to series combinations i.e., $C _P > C _S$.

A parallel plate capacitor is made by stacking n equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is 'C' then the resultant capacitance is :

  1. (n+1)C

  2. (n-1)C

  3. nC

  4. C


Correct Option: B
Explanation:

Here n plates will make $(n-1)$ capacitors with capacitance $C$ and they are in parallel combination.
Thus, the resultant capacitance $=(n-1)C$