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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What is the equivalent capacitance between A and B in the given figure (all are in farad) 

(1) 1318F

(2) 4813F

(3) 131F

(4) 24071F

Subtopic:  Combination of Capacitors |
 79%
From NCERT
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100 capacitors each having a capacity of 10 μF are connected in parallel and are charged by a potential difference of 100 kV. The energy stored in the capacitors and the cost of charging them, if electrical energy costs 108 paise per kWh, will be?

1. 107 joule and 300 paise
2. 5 × 106 joule and 300 paise
3. 5 × 106 joule and 150 paise
4. 107 joule and 150 paise

Subtopic:  Energy stored in Capacitor |
 56%
From NCERT
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Four capacitors are connected as shown in the figure. Their capacities are indicated in the figure. The effective capacitance between points x and y is (in μF

(1) 56

(2) 76

(3) 83

(4) 2

Subtopic:  Combination of Capacitors |
 69%
From NCERT
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A 10 μF capacitor and a 20 μF capacitor are connected in series across a 200 V supply line. The charged capacitors are then disconnected from the line and reconnected with their positive plates together and negative plates together and no external voltage is applied. What is the potential difference across each capacitor 

(1) 4009V

(2) 8009V

(3) 400 V

(4) 200 V

Subtopic:  Combination of Capacitors |
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Two condensers C1 and C2 in a circuit are joined as shown in figure. The potential of point A is V1 and that of B is V2. The potential of point D will be 

(1) 12(V1+V2)

(2) C2V1+C1V2C1+C2

(3) C1V1+C2V2C1+C2

(4) C2V1C1V2C1+C2

Subtopic:  Combination of Capacitors |
 74%
From NCERT
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The combined capacity of the parallel combination of two capacitors is four times their combined capacity when connected in series. This means that 

(1) Their capacities are equal

(2) Their capacities are 1 μF and 2 μF

(3) Their capacities are 0.5 μF and 1 μF

(4) Their capacities are infinite

Subtopic:  Combination of Capacitors |
 75%
From NCERT
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In the given network capacitance, C1 = 10 μF, C2 = 5 μF and C3 = 4 μF. What is the resultant capacitance between A and B 

(1) 2.2 μF

(2) 3.2 μF

(3) 1.2 μF

(4) 4.7 μF

Subtopic:  Combination of Capacitors |
 87%
From NCERT
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