Four charges $Q_{1}, Q_{2}, Q_{3}$ and $Q_{4}$ of same magnitude are led along the x axis at $x = - 2 a, - a, + a a n d + 2 a$ respectively. A positive charge q is placed on the positive y axis at a distance b > 0. Four options of the signs of these charges are given in List I. The direction of the forces on the charge q is given in List II. Match List I with List II and select the correct answer using the code given below the lists.

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Solution

a)If $Q_{1}, Q_{2}, Q_{3}, Q_{4}$ alll positive. Force on Q after taking component will be in $ˆ j$ direction.
b) $Q_{1}, Q_{2}, + v e, Q_{3}, Q_{4} - v e$
electric feild is in (+x) direction.
c) $Q_{1}, Q_{4}, + v e Q_{3}, Q_{2} - v e$

force due to $Q_{1},$ and $Q_{4},$ at q is in +y
force due to $Q_{2},$ and $Q_{3},$ at q is in -y
electric feild due to $Q_{2},$ and $Q_{3},$ > $Q_{1},$ and $Q_{4},$
electric feild is in -y $\cos { \theta \quad =\frac { 6 }{ \sqrt { { a }^{ 2 }+{ 6 }^{ 2 } } } } $
$\cos { \alpha \quad =\frac { 6 }{ \sqrt { { 4a }^{ 2 }+{ 6 }^{ 2 } } } } $
d)${ Q }_{ 1 },{ Q }_{ 3 },$ +ve
${ Q }_{ 1 },{ Q }_{ 3 },$ -ve
force due to $Q_{1},$ and $Q_{4},$ at q is in +x
force due to $Q_{2},$ and $Q_{3},$ at q is in -x
electric feild due to $Q_{1},$ and $Q_{4},$ > $Q_{2},$ and $Q_{3},$
electric feild is in +x
A - +y
B- +x
C- -y
D- +x

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