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1. Electric Charges and Fields
medium
In the following four situations charged particles are at equal distance from the origin. Arrange them the magnitude of the net electric field at origin greatest first
A
$(i) > (ii) > (iii) > (iv)$
B
$(ii) > (i) > (iii) > (iv)$
C
$(i) > (iii) > (ii) > (iv)$
D
$(iv) > (iii) > (ii) > (i)$
Solution
(c) If electric field due to charge $|q|$ at origin is $E$ then electric field due to charges $|2q|, |3q|, |4q|$ and $|5q|$ are respectively $2E, 3E, 4E$ and $5E$
${E_{(i)}} = \sqrt {{{(5E)}^2} + {{(5E)}^2}} = 5\sqrt 2 E$,
${E_{(ii)}} = \sqrt {{{(3E)}^2} + {{(3E)}^2}} = 3\sqrt 2 E$,
${E_{(iii)}} = 4E + 2E = 6E$ and ${E_{(iv)}} = 3E + E = 4E$
$==>$ ${E_{(i)}} > {E_{(iii)}} > {E_{(ii)}} > {E_{(iv)}}$
Standard 12
Physics
