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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A series combination of n1 capacitors, each of value C1, is charged by a source of potential difference 4 V. When another parallel combination of n2 capacitors, each of value C2, is charged by a source of potential difference V, it has the same (total) energy stored in it as the first combination has. The value of C2 in terms of C1 is:

1.  2C1n1n2             

2. 16n2n1C1

3.  2n2n1C1           

4.  16C1n1n2

Subtopic:  Energy stored in Capacitor |
 72%
From NCERT
NEET - 2010
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Three concentric spherical shells have radii a, b and c (a<b<c) and have surface charge densities σ, -σ and σ respectively. If VA, VB and VC denote the potential of the three shells, if c=a+b, we have

(1) VC=VAVB                                       

(2) VC=VBVA

(3) VCVBVA                                       

(4) VC=VB=VA

Subtopic:  Electric Potential |
From NCERT
NEET - 2009
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Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltage of the combination will be

(1) C3,V3

(2) 3C,V3

(3) C3,3V

(4) 3C,3V

Subtopic:  Combination of Capacitors |
 77%
From NCERT
NEET - 2009
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The electric potential at a point (x,y,z) is given by 

            V=-x2y-xz3+4

The electric field E at that point is 

(a) E=i^2 xy+z3+j^x2+k^3xz2

(b) E=i^2xy+j^x2+y2+k^3xz-y2

(c) E=i^z3+j^xyz+k^z2

(d) E=i^2xy-z3+j^xy2+k^3z2x

Subtopic:  Relation between Field & Potential |
 78%
NEET - 2009
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The mean free path of electrons in a metal is 4×10-8m.The electric field which can give on an average 2 eV energy to an electron in the metal will be in a unit of Vm-1 :

(1) 8×107                             

(2) 5×10-11

(3) 8×10-11                         

(4) 5×107

Subtopic:  Relation between Field & Potential |
From NCERT
NEET - 2009
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Two dielectric slabs of constant K1 and K2 have been filled in between the plates of a capacitor as shown below. What will be the capacitance of the capacitor 

(1) 2ε0A2(K1+K2)

(2) 2ε0A2K1+K2K1×K2

(3) \(\frac{2\epsilon _{0}A}{d}(\frac{k_{1}+k_{2}}{k_{1}-k_{2}})\)

(4) 2ε0AdK1×K2K1+K2

Subtopic:  Dielectrics in Capacitors |
 76%
From NCERT
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