• two charges +9mc +16mc are placed at a corner of traingle A and C.The point B is at 90 degree at the triangle such that AB =3m, BC=4m. Find the magnitude and direction of electric field intensity at point B
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Answer:
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Explanation:
Two point charges +9q and +9.
Kept apart =16cm=16×10
−2
m
Two cases will be needed.
Given charges, +q, +9q. let, the third charge q be placed at a distance x from q and hence its distance from 9q and (16−x)cm for the system to remain in equilibrium F
1
=F
2
Therefore,
F
1
=
x
2
K(q×Q)
F
2
=
(16−x)
2
K(9q×Q)
Equating F
1
and F
2
we get,
x
2
9
=
(16−x)
2
1
F
1
=F
2
or,
x
2
K(q×Q)
=
(16−x)
2
K(9q×Q)
or,
x
2
1
=
(16−x)
2
9
or,
x
1
=
(16−x)
9
or, 16−x=3x
or, 4x=16
or, x=4
∴ (16−4)cm=12cm from +9q.
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