Two metallic bodies separated by a distance of 20 cm, are given equal and opposite charges of the magnitude of 0.88μC. The component of the electric field along the line AB, between the plates, varies as, Ex=(3x2 + 0.4) N/C where x (in meters) is the distance from one body towards the other body as shown.

1. The capacitance of the system is 10F 

2. The capacitance of the system is 20F 

3. The potential difference between A and C is 0.088 volt 

4. The potential difference between A and C is cannot be determined from the given data 

Subtopic:  Relation between Field & Potential |
 65%
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Electrical potential ‘v’ in space as a function of coordinates is given by, v=1x+1y+1z . Then the electric field intensity at (1, 1, 1) is given by –

1.  -i^+j^+k^                         

2.  i^+j^+k^

3.  zero                                           

4.  13i^+j^+k^

Subtopic:  Relation between Field & Potential |
 56%
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Two concentric, thin metallic spheres of radii R1 and R2 R1 > R2 bear changes Q1 and Q2 respectively. Then the potential at distance r between R1 and R2 will be k=14πε0

1.  k Q1+Q2r                       

2.  k Q1r+Q2R2

3.  k Q2r+Q1R1                     

4.  k Q1R1+Q1R2 

Subtopic:  Electric Potential |
 61%
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The grid (each square of 1m × 1m), represents a region in space containing a uniform electric field.

If potentials at points O, A, B, C, D, E, F and G, H are respectively 0, –1, –2, 1, 2, 0, –1, 1 and 0 volts, find the electric field intensity –

     

1. i^+j^ V/m                           

2. i^-j^ V/m

3. -i^+j^ V/m                         

4. -i^-j^ V/m

Subtopic:  Relation between Field & Potential |
 58%
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Figure shows an electric line of force which curves along a circular arc.

                     

The magnitude of electric field intensity is same at all points on this curve and is equal to E. If the potential at A is V, then the potential at B is –

1. V-ERθ                             

2. V-E2R sin θ2

3. V+ERθ                             

4. V+2ER sin θ2

Subtopic:  Relation between Field & Potential |
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A parallel plate capacitor with air between the plates is charged to a potential difference of 500V and then insulated. A plastic plate is inserted between the plates filling the whole gap. The potential difference between the plates now becomes 75V. The dielectric constant of plastic is –

1.  10/3                           

2.  5 

3.  20/3                           

4.  10

Subtopic:  Dielectrics in Capacitors |
 88%
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The circuit was in the shown state for a long time. Now if the switch S is closed then the charge that flows through the switch S, will be –

      

1.  4003 μC                               

2.  100 μC

3.  1003 μC                               

4.  50 μC

Subtopic:  Combination of Capacitors |
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A capacitor of 1 µF withstands a maximum voltage of 6 kilovolts while another capacitor of 2 µF withstands a maximum voltage of 4 kilovolts. If the two capacitors are connected in series, the system will withstand a maximum voltage of:

1. 2 kV 2. 4 kV
3. 6 kV 4. 9 kV
Subtopic:  Combination of Capacitors |
 53%
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The potential at a certain point in an electric field is 200 V. The work done in carrying an electron upto that point will be.

1.  3.2×10-17 J                      

2.  -3.2×10-17 J

3.  200 J                                     

4.  -200 J

Subtopic:  Electric Potential |
 68%
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Two charged conducting spheres of radii r1 and r2 are at the same potential. The ratio of their surface charge densities will be -

1.  r1/r2                               

2.  r2/r1

3.  r12/r22                           

4.  r22/r12

Subtopic:  Electric Potential |
 70%
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