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Capacitors and capacitance, the combination of capacitors in series and parallel Mock Test for JEE

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Part of Electrostatics in JEE Main Physics.

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Q1PhysicsUnit 11: Electrostatics

The voltage required to balance an oil drop carrying 10 electrons between the plates of a capacitor which are

10 \mathrm{mm}

apart, is (Given mass of the oil drop=

\left.\mathbf{3} \cdot \mathbf{2} \times \mathbf{1 0}^{-\mathbf{1 5}} \mathbf{k g}, \boldsymbol{e}=\mathbf{1 . 6} \times \mathbf{1 0}^{-\mathbf{1 9}} \mathbf{C}\right)

Q2PhysicsUnit 11: Electrostatics

Consider a huge charge reservoir at potential

V=200

volts. A spherical capacitor

C_{1}=40 n F

is brought in contact with the charge reservoir and then removed. Afterwards, another spherical capacitor

C_{2}=30 n F

is brought in contact with

C_{1}

and removed. This process is repeated many times. Assume that potential of reservoir does not change during this exercise. Then the charge in

(\mu C)

C_{2}

after a very long time is :

Q3PhysicsUnit 11: Electrostatics

If we increase the distance between two plates of the capacitor, the capacitance will

Q4PhysicsUnit 11: Electrostatics

The effective capacitance between

\boldsymbol{A}

and

B

will be

Q5PhysicsUnit 11: Electrostatics

Assertion A capacitor can be given only a limited quantity of charge Reason A capacitor is an arrangement which can store sufficient quantity of charge

Q6PhysicsUnit 11: Electrostatics

A parallel plate capacitor is charged and then the battery is disconnected, When the plates of the capacitor are brought closer, then This question has multiple correct options

Q7PhysicsUnit 11: Electrostatics

The inductor in a LC oscillation has a maximum potential difference of

16 \mathrm{V}

and maximum energy of

640 \mu

J. Find the value of capacitor in

\mu

F in LC circuit.

Q8PhysicsUnit 11: Electrostatics

toppr ०६ Q Type your question In tigure. I nen the Key

\mathbf{K}

Is pressed to complete the circuit. Finally the net charge on upper plate and net charge the circuit. Finally the net charge on upper plate and net charge on lower plate of capacitor

C

is positive. Reason : In a parallel plate capacitor both plates always carry equal and opposite charge.

Q9PhysicsUnit 11: Electrostatics

in fig consists of two horizontal conducting plates of equal area A. The bottom plate rests on a fixed support and the top plate is suspended by four springs with spring constant

\mathrm{k}

positioned at each of the four corners of the plate as shown in Fig. When uncharged, the plates are separated by a distance

z_{0} .

A battery is connected to the plates and produces a potential difference V between them. This causes the plate separation to decrease to z. Neglect any fringing effects. Find the condition of stable equilibrium:

Q10PhysicsUnit 11: Electrostatics

A capacitor of capacitance

C

is charged to a potential difference

V

from a cell and then disconnected from it. A charge

+Q

is now given to its positive plate. The potential difference across the capacitor is now

Q11PhysicsUnit 11: Electrostatics

A parallel plate capacitor is charged and the charging battery is then disconnected. If the plates of the capacitor are now moved apart by means of insulting handles:

Q12PhysicsUnit 11: Electrostatics

Consider a parallel plate capacitor having charge

Q

. Then This question has multiple correct options

Q13PhysicsUnit 11: Electrostatics

n

capacitors each of capacitance

2 \mu F

are connected in parallel and a potential difference of

200 \mathrm{V}

is applied to the combination. The total charge on all the positive plates is 1 Coulomb then

n

is equal to :

Q14PhysicsUnit 11: Electrostatics

When two capacitors of capacities

3 \mu F

and

6 \mu F

are connected in series and connected to

120 V,

the potential difference across

3 \mu F

is:

Q15PhysicsUnit 11: Electrostatics

An LC circuit contains a

20 \mathrm{mH}

inductor and a

25 \mu

F capacitor with an initial charge of 5 mC. The total energy stored in the circuit initially is

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