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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Three charges, each +q, are placed at the corners of an isosceles triangle ABC of sides BC and AC equal to 2a. D and E are the mid points of BC and CA. The work done in taking a charge Q from D to E is 

(1)eqQ8πε0α                                                 

(2)qQ4πε0α

(3)zero                                                     

(4)3qQ4πε0α

Subtopic:  Electric Potential Energy |
 81%
From NCERT
NEET - 2011
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