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An infinite number of charges each of ma...

An infinite number of charges each of magnitude q are placed on x-axis at distance of 1, 2, 4, 8, ..... Meter from the origin respectively. Find intensity of the electric field at origin.

A

`q/(3piepsilon_(0))`

B

`q/(6 pi epsilon_(0))`

C

`q/(2pi epsilon_(0))`

D

`q/(4pi epsilon_(0))`

Text Solution

Verified by Experts

The correct Answer is:
A
`E=q/(4 pi epsilon_(0))[1/(1^(2))+1/(2^(2))+1/(4^(2))+ ----------]`
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NARAYNA-ELECTRIC CHARGES AND FIELDS-EXERCISE -1 (H.W)
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  2. Two charges of 50muC and 100muC are separated by a distance of 0.6m .T...

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  3. Two point charges Q and -3Q are placed at some distance apart. If the ...

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  4. A mass m carrying a charge q is suspended from a string and placed in...

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  5. A protons of mass m charge c is released form rest in a uniform electr...

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  6. An infinite number of charges each of magnitude q are placed on x-axis...

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  7. v34.2

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  8. The electric field at a point due to an electric dipole, on an axis in...

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  9. A charged spherical conductor has a surface charge density of 0.7C//m^...

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  10. The electric field in a region of space is given by E = (5 hat(i) + 2h...

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  11. Number of electric lines of force emerging from 1C of positive charge ...

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  12. A charge of 5C is placed at the center of a spherical gaussian surface...

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  13. In a region where intensity of electric field is 5NC^(-1)40 lines of e...

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  14. An electron is placed at the centre of a Conducting sphere of radius 0...

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  15. Eight charges, 1muC, -7muC , -4muC, 10muC, 2muC, -5muC, -3muC, and 6mu...

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  16. Calculate the net flux emergin from given enclosed surface Nm^(2)C^(-1...

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  17. A charge q is located at the centre of a cube. The electric flux throu...

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  18. The electric field near a conducting surface having a uniform surface ...

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  19. A cylinder of length L and radius b has its axis coincident with the x...

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  20. A charge q is placed at the centre of the open end of a cylindrical ve...

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