First slide

Coulumbs law in vector form

Question

Three identical charges each of magnitude $\sqrt{3} q_{0}$ are kept at vertices of an equilateral triangle. What should be charge at the centre to obtain system in equilibrium?

Moderate

A

$\sqrt{3} q_{0}$
B

$q_{0}$
C

$- \sqrt{3} q_{0}$
D

$- q_{0}$

Solution

force on any charge due other two corner charges is 2 F cos ${\frac{60}{2}}^{0}$ where F is equal to $\frac{3 {q_{0}}^{2}}{l^{2}} k_{}$ and it is repulsive charge at the center should cancel this repulsive force by an attractive force is given by $F^{1} = k \frac{q \sqrt{3} q_{0}}{{(\frac{l}{\sqrt{3}})}^{2}} = 2 (\frac{3 q^{2}}{l^{2}}) \frac{\sqrt{3}}{2} k s o l v i n g q = - q_{0} a s t h e f o r c e h a s t o b e a t t r a c t i v e$

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