# The diagrams below show regions of equipotential.         A positive charge is moved from $$\mathrm{A}$$ to $$\mathrm{B}$$ in each diagram. Choose the correct statement from the options given below: 1. in all four cases, the work done is the same. 2. minimum work is required to move $$q$$ in figure (a). 3. maximum work is required to move $$q$$ in figure (b). 4. maximum work is required to move $$q$$ in figure (c).

Subtopic:  Equipotential Surfaces |
83%
From NCERT
NEET - 2017
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A capacitor of $$2~\mu\text{F}$$ is charged as shown in the figure. When the switch $${S}$$ is turned to position $$2,$$, the percentage of its stored energy dissipated is:

1. $$20\%$$
2. $$75\%$$
3. $$80\%$$
4. $$0\%$$
Subtopic:  Energy stored in Capacitor |
72%
From NCERT
NEET - 2016
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A parallel plate air capacitor of capacitance $$C$$ is connected to a cell of emf $$V$$ and then disconnected from it. A dielectric slab of dielectric constant $$K,$$ which can just fill the air gap of the capacitor is now inserted in it. Which of the following is incorrect?

 1 the potential difference between the plates decreases $$K$$ times. 2 the energy stored in the capacitor decreases $$K$$ times. 3 the change in energy stored is $$\frac{1}{2}CV^{2}\left ( \frac{1}{K} -1\right )$$ 4 the charge on the capacitor is not conserved.

Subtopic:  Energy stored in Capacitor |
71%
From NCERT
NEET - 2015
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In a region, the potential is represented by $$V=(x,y,z)=6x-8xy-8y+6yz,$$ where $$V$$ is in volts and $$x,y,z$$ are in meters. The electric force experienced by a charge of $$2$$ coulomb situated at a point $$(1,1,1)$$ is:
1. $$6\sqrt{5}~\text{N}$$
2. $$30~\text{N}$$
3. $$24~\text{N}$$
4. $$4\sqrt{35}~\text{N}$$

Subtopic:  Relation between Field & Potential |
73%
From NCERT
AIPMT - 2014
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An electric dipole of moment $$\vec {p}$$ is lying along a uniform electric field $$\vec{E}$$. The work done in rotating the dipole by $$90^{\circ}$$ is:
1. $$\sqrt{2}pE$$
2. $$\frac{pE}{2}$$
3. $$2pE$$
4. $$pE$$

Subtopic:  Energy of Dipole in an External Field |
82%
From NCERT
AIPMT - 2006
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In a certain region of space with volume $$0.2$$ m3, the electric potential is found to be $$5$$ V throughout. The magnitude of electric field in this region is:
1. $$0.5$$ N/C
2. $$1$$ N/C
3. $$5$$ N/C
4. zero

Subtopic:  Relation between Field & Potential |
75%
From NCERT
NEET - 2020
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Three capacitors connected in series have a capacitance of $$9$$ pF each. The potential difference across each capacitor if the combination is connected to a $$120$$ V supply is:
1. $$10$$ V
2. $$20$$ V
3. $$30$$ V
4. $$40$$ V

Subtopic:  Capacitance |
81%
From NCERT
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Three capacitors of capacitances $$2$$ pF, $$3$$ pF, and $$4$$ pF are connected in parallel. The charge on the $$4$$ pF capacitor, if the combination is connected to a $$100$$ V supply, is:
1.$$4\times10^{-10}$$ C
2. $$3\times10^{-9}$$ C
3. $$2\times10^{-10}$$ C
4. $$1\times10^{-9}$$ C

Subtopic:  Combination of Capacitors |
81%
From NCERT
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In a parallel plate capacitor with air between the plates, each plate has an area of $$6\times10^{-3}~\text{m}^2$$, and the distance between the plates is $$3~\text{mm}$$. The capacitance of the capacitor is:
1. $$16.12~\text{pF}$$
2. $$17.71~\text{pF}$$
3. $$15.01~\text{pF}$$
4. $$11.32~\text{pF}$$

Subtopic:  Capacitance |
83%
From NCERT
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A $$12$$ pF capacitor is connected to a $$50$$ V battery. How much electrostatic energy is stored in the capacitor?
1. $$3.1\times10^{-8}$$ J
2. $$2.9\times10^{-8}$$ J
3. $$3.3\times10^{-8}$$ J
4. $$1.5\times10^{-8}$$ J

Subtopic:  Energy stored in Capacitor |
82%
From NCERT
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