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%
From NCERT
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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%
From NCERT
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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%
From NCERT
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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%
From NCERT
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At the mid point of a line joining an electron and a proton, the values of E and V will be.

1. E=0, V0                   

2. E0, V=0

3. E0, V0                   

4. E=0, V=0

Subtopic:  Electric Potential |
 73%
From NCERT
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A charge of 10µC is kept at the origin of XY coordinate system. The potential difference in volts between two points (a, 0) and a/2 , a/2 will be.

1.  Zero                             

2.  9×104

3.  9×104a                           

4.  9×1042

Subtopic:  Electric Potential |
 66%
From NCERT
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