Solveeit Logo

Question

Question: As shown in the figure, charges +q and -q are placed at the vertices B and C of an isosceles triangl...

As shown in the figure, charges +q and -q are placed at the vertices B and C of an isosceles triangle. The potential at the vertex A is

A

14πε0.2qa2+b2\frac{1}{4\pi\varepsilon_{0}}.\frac{2q}{\sqrt{a^{2} + b^{2}}}

B

14πε0.qa2+b2\frac{1}{4\pi\varepsilon_{0}}.\frac{q}{\sqrt{a^{2} + b^{2}}}

C

14πε0.(q)a2+b2\frac{1}{4\pi\varepsilon_{0}}.\frac{( - q)}{\sqrt{a^{2} + b^{2}}}

D

Zero

Answer

Zero

Explanation

Solution

Potential at A = Potential due to (+q) charge + Potential due to (- q) charge

=14πε0.qa2+b2+14πε0(q)a2+b2=0= \frac{1}{4\pi\varepsilon_{0}}.\frac{q}{\sqrt{a^{2} + b^{2}}} + \frac{1}{4\pi\varepsilon_{0}}\frac{( - q)}{\sqrt{a^{2} + b^{2}}} = 0