Ten charges are placed on the circumference of a circle of radius R with constant angular separation between successive charges. Alternate charges 1,3, 5,7,9 have charge (+q) each, while 2,4,6,8,10 have charge (-q) each. The potential V and the electric field E at the centre of the circle are respectively. (Take V = 0 at infinity)
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a
V=10q4π∈0R;E=0
b
V=0;E=0
c
V=10q4π∈0R;E=10q4π∈0R2
d
V=0;E=10q4π∈0R2
answer is B.
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Detailed Solution
Potential at point C Potential is scalar quantity. Vc=5kqr+5k−qr=0Electric field at C Field is vector quantity. E→C=E→ due to+qs+E→ due to−qs= 0+0 from symmetry
Ten charges are placed on the circumference of a circle of radius R with constant angular separation between successive charges. Alternate charges 1,3, 5,7,9 have charge (+q) each, while 2,4,6,8,10 have charge (-q) each. The potential V and the electric field E at the centre of the circle are respectively. (Take V = 0 at infinity)