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← JEE Main 2022 · 26 Jul · Shift 2
PhysicsInteger+4 / -1Question 57 of 90

JEE Main 2022 · 26 Jul · Shift 2, Physics question 57

Three point charges of magnitude 5 μC, 0.16 μC and 0.3 μC are located at the vertices A, B, C of a right angled triangle whose sides are AB = 3 cm, BC = 323\sqrt2 cm and CA = 3 cm and point A is the right angle corner. Charge at point A experiences ______ N of electrostatic force due to the other two charges.

Answer and worked solution

Official answer: 17

Force from B =9×109×5×10−6×0.16×10−6(0.03)2=8=\frac{9\times10^9\times5\times10^{-6}\times0.16\times10^{-6}}{(0.03)^2}=8 N; from C =9×109×5×10−6×0.3×10−6(0.03)2=15=\frac{9\times10^9\times5\times10^{-6}\times0.3\times10^{-6}}{(0.03)^2}=15 N.

Right angle at A, so they are perpendicular: 64+225=17\sqrt{64+225}=17 N.

Answer: 17

Topics:Coulomb's law and superposition
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