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A plastic rod has been formed into a cir...

A plastic rod has been formed into a circle of radius R. It has a positive charge `+Q` uniformly distributed along one-quarter of its circumference and a negative charge of ` -6Q` uniformly distributed along the rest of the circumference (figure). With V = 0 at infinity, what is the electric potential `-6Q`
(a) at the centre C of the circle and
(b) at point P, which is on the central axis of the circle at distance z from the centre?

Text Solution

Verified by Experts

The correct Answer is:
D

`a. V_C=(k.q_("net"))/R=(1/(4piepsilon_0)((-5Q)/R)`
`b. V_p=(kq_("net"))/r` where r=distance of P from any point on circumfrence
`=(1/(4piepsilon_0))((-5Q)/(sqrt(R^2+z^2)))`
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DC PANDEY-ELECTROSTATICS-Level 1 Objective
  1. A uniform electric field of magnitude 250 V// m is directed in the pos...

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  2. A small particle has charge -5.00muC and mass 2.00 xx 10-4 kg. It move...

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  3. A plastic rod has been formed into a circle of radius R. It has a posi...

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  4. A point charge q1=+2.40muC is held stationary at the origin. A second...

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  5. A point charge q1 = 4.00 nC is placed at the origin, and a second poin...

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  6. Three point charges, which initially are infinitely far apart, are pla...

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  7. The electric field in a certain region is given by E=(5hati-3hatj)kV//...

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  8. In a certain region of space, the electric field is along +y-direction...

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  9. An electric field of 20 N//C exists along the x-axis in space. Calcula...

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  10. The electric potential existing in space is V(x,y,z)A(xy+yz+zx) (a) ...

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  11. An electric field E = (20hati + 30 hatj) N/C exists in the space. If t...

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  12. In a certain region of space, the electric potential is V (x, y, z) = ...

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  13. A sphere centered at the origin has radius 0.200 m. A-500muC point cha...

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  14. A closed surface encloses a net charge of -3.60 muC. What is the net e...

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  15. The electric field in a region is given by E = 3/5 E0hati +4/5E0j with...

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  16. The electric field in a region is given by E = (E0x)/lhati. Find the c...

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  17. A point charge Q is located on the axis of a disc of radius R at a dis...

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  18. A cube has sides of length L. It is placed with one corner atAthe orig...

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  19. Two point charges q and -q are separated by a distance 2l. Find the fl...

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  20. A point charge q is placed at the origin. Calculate the electric flux ...

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