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Draw graph showing the variation of electronic field & electronic potential with distance 'r' due to point change.

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(a) Use Gauss's law to show that due to a uniformly charged spherical shell of radius R, the electric field at any point situated outside the shell at a distance r from its centre is equal to the electric field at the same point, when the entire charge on the shell were concentrated at its centre. Also plot the graph showing the variation of electric field with r, for r le R and r ge R . (b) Two point charges of +1 muC and +4 muC are kept 30 cm apart. How far from the +1muC charge on the line joining the two charges, will the net electric field be zero ?

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CBSE COMPLEMENTARY MATERIAL-ELECTROSTATICS AND CURRENT ELECTRICITY -NUMERICALS
  1. Draw graph showing the variation of electronic field & electronic...

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  2. What should be the position of charge q = 5 mu C for it to be in...

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  3. Two point charges 4e and e each, at a separation r in air, exert force...

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  4. Two capacitors of capacitance 10 mu F and 20 muF are connected...

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  5. Two point charges 6 mu C and 2 mu C are separated by 3 cm i...

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  6. ABC is an equilateral triangle of side 10 cm. D is the mid poin...

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  7. A point charge of 2 muC is kept fixed at the origin. Anothe...

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  8. A 5 MeV alpha particle is projected towards a stationary nucl...

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  9. To what potential must a insulated sphere of radius 10 cm be...

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  10. A slab of material of dielectric constant K has the same area as the ...

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  11. A point charge developes an electric field of 40 N/C and a potential d...

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  12. Figure shows three circuits, each consisting of a switch and two capac...

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  13. For what value of C does the equivalent capacitance between A and B is...

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  14. A pendulum bob of mass 80 mg and carrying charge of 3 xx 10 ^(-8) C ...

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  15. Eight chraged water drops, each with a radius of 1 mm and a charge of ...

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  16. What potential difference must be applied to produce an electric field...

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  17. A 10 mu F capacitor can withstand a maximum voltage of 100 V acro...

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  18. Three concentric spherical metallic shells A, B and C of radii a, b an...

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  19. Four point charges are placed at the corners of the square of edge a a...

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  20. Find the potential at A and C in the following circuit :

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  21. Fig. shows two parallel plate capacitors X and Y having same area of p...

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