A right isosceles triangle of side a has charges q , 3 q and - q arranged on its vertices as shown in the figure. What is the electric potential at point P midway between the line connecting the + q and - q charges?

Question

A right isosceles triangle of side a has charges q , 3 q and - q arranged on its vertices as shown in the figure. What is the electric potential at point P midway between the line connecting the + q and - q charges?, 3 q r ε 0 a, 3 q 2 π ε 0 a, q π ε 0 a, 3 q 2 2 π ε 0 a

MARKS App · Accepted Answer

Potential at point P due to charges - q , 3 q , and + q is given by Potential at P due to ( + q ) charge + potential at P due to ( - q ) charge + potential at P due to ( + 3 q ) charge i.e. V N e t = V A + V B + V C A s g i v e n f i g u r e V C + V B = 0 , ∵ V C = K q 2 a 2 ∵ V B = - K q 2 a 2 So, V N e t = V A = 3 K q A P = 3 K Q 2 a 2 ∵ A P = a 2 - 2 a 2 2 = a 2 - 2 a 2 4 = 2 a 2 4 = 2 a 2 V N e t = 3 q × 2 4 π ε 0 2 a ⇒ 3 q 2 2 π ε 0 a

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