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 \({1 \over 2} CV^{2}(\frac{1}{K}-1)\)
4. The charge on the capacitor is not conserved

Subtopic:  Energy stored in Capacitor |
 70%
From NCERT
NEET - 2015
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If potential (in volts) in a region is expressed as V(x,y,z)=6xy-y+2yz, the electric field (in N/C) at point (1,1,0) is       


(1)-(3i^+5j^+3k^)

(2)-(6i^+5j^+2k^)

(3)-(2i^+3j^+k^)

(4)-(6i^+9j^+k^

Subtopic:  Relation between Field & Potential |
 83%
NEET - 2015
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Two thin dielectric slabs of dielectric constants K1&K2 (K1<K2) are inserted between plates of a parallel capacitor, as shown in the figure. The variation of electric field E between the plates with distance d as measured from plate P is correctly shown by  

1.

2. 

3.

4.

Subtopic:  Dielectrics in Capacitors |
 73%
From NCERT
NEET - 2014
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A conducting sphere of radius R is given a charge Q. The electric potential and field at the centre of the sphere respectively are

(a) zero and Q/4πεoR

(b)Q/4πεoR and zero

(c)Q/4πεoR and Q/4πεoR2

(d)Both are zero

Subtopic:  Electric Potential |
 82%
From NCERT
NEET - 2014
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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 point (1,1,1) is

(1)6√5N

(2)30N

(3)24N

(4)4√35N

Subtopic:  Relation between Field & Potential |
 66%
NEET - 2014
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\(\mathrm{A}\), \(\mathrm{B}\) and \(\mathrm{C}\) are three points in a uniform electric field. The electric potential is:

1. maximum at \(\mathrm{A}\)
2. maximum at \(\mathrm{B}\)
3. maximum at \(\mathrm{C}\)
4. same at all the three points \(\mathrm{A},\mathrm{B} ~\text{and}~\mathrm{C}\)
Subtopic:  Relation between Field & Potential |
 83%
From NCERT
NEET - 2013
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Four point charges -Q,-q,2q and 2Q are placed, one at each corner of the square.The relation between Q and q for which the potential at the centre of the square is zero, is 

(1) Q=-q                                       

(2)Q=-1q

(3)Q=q                                         

(4)Q=1q

Subtopic:  Electric Potential |
 75%
From NCERT
NEET - 2012
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Two metallic spheres of radii 1 cm and 3 cm are given charges of -1×10-C and 5×10-C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is:

1. 2×10-C

2. 3×10-C

3. 4×10-C

4. 1×10-C

Subtopic:  Electric Potential |
 68%
From NCERT
NEET - 2012
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A parallel plate condenser has a uniform electric field E(V/m) in the space between the plates. If the distance between the plates is d(m) and area of each plate is A(m2), the energy (joule) stored in the condenser is:

1. 12ε0E2

2. ε0EAd

3. 12ε0E2Ad

4. E2Ad/ε0

Subtopic:  Energy stored in Capacitor |
 81%
From NCERT
NEET - 2021
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Four electric charges +q, + q, -q and -q are placed at the corners of a square of side 2L (see figure). The electric potential at point A, mid-way between the two charges +q and +q, is

                                            

(1)  14πε02qL1+15

(2)    14πε02qL1-15

(3)    Zero

(4)  14πε02qL1+5

Subtopic:  Electric Potential |
 72%
From NCERT
NEET - 2011
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