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Asked by rekhapremkumar25 | 27 Aug, 2021, 07:06: AM
Distance dn of nth charge from origin is given as

dn = 2(n-1) m

Electric field E due to infinite number of charges is given as

where K = 1/(4πεo ) is Coulomb's constant

Hence E = K q [ 1 + (1/4) + (1/16) +(1/64) ....................... to ∞ ]  N/C = K q Sn N/C

Bracketted term in above expression is geometric series with first term is 1 and common multipier is (1/4) .

Sn is sum of geometric series

Sn =  1 / [ 1 - (1/4) ] = 4/3   m-2

Hence electric field E = (4/3) K q
Answered by Thiyagarajan K | 27 Aug, 2021, 11:45: AM
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