ABC is an equilateral triangle of side 10 metre and D is the midpoint of BC charges of + hundred hundred and + 75 microcoulomb are placed at a b c and d respectively
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Answer:At The Point A
Net field along x - axis
E(x) = E(B) cos 60 + E(c) cos 60
E(y) = E(D) + E(B) sin 60 - E(c) sin 60
Given that , a = 10 m
Q(A) = + 1 μC
Q(B) = 100 μC
Q(c) = -100 μC
Q(D) = 75 μC
k = 9 x 10⁹ N M ²C⁻²
Electric field ( magnitude) are
E(A) = 9000N/C
E(B) = 9000N/C
E(D) = 9000N/C
So , E(x) = 9000 cos 60 + 9000 cos 60
= [9000 x (1/2) ]x 2 = 9000N/C
E(y) = 9000 + 9000 sin 60 - 9000 sin 60
= 9000N/C
So , net field of point A
= 9000√2
E(n) = 12727.9N/C
So , Net force acting on point charger of (+1μC) is Given By
F = q E(n)
=(1 x 10⁻⁶) 12727.9
F = 12.73 x 10⁻³N
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Explanation:
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