Electrostatics Question 178

Question: $ ABC $ is a right angled triangle in which $ AB=3cm $ and $ BC=4cm $ . And Ð ABC = p/2. The three charges $ +15,\ +12 $ and $ -20e.s.u. $ are placed respectively on $ A $ , $ B $ and $ C $ . The force acting on $ B $ is

Options:

A) $ 125\ dynes $

B) $ 35\ dynes $

C) $ 25\ dynes $

D) Zero

Show Answer

Answer:

Correct Answer: C

Solution:

Net force on B $ F _{net}=\sqrt{F _{A}^{2}+F _{C}^{2}} $

$ F _{A}=\frac{15\times 12}{{{( 3 )}^{2}}}=20dyne $ , $ F _{C}=\frac{12\times 20}{{{( 4 )}^{2}}}=15dyne $

therefore $ F _{net}=\sqrt{F _{A}^{2}+F _{C}^{2}}=\sqrt{{{(20)}^{2}}+{{(15)}^{2}}}=25dyne $



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