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Question: ABC is a right angle triangle in which AB = 3 cm, BC = 4 cm and \(\angle ABC = \frac{\pi}{2}\). The ...

ABC is a right angle triangle in which AB = 3 cm, BC = 4 cm and ABC=π2\angle ABC = \frac{\pi}{2}. The three charges +15, +12 and – 20 e.s.u. are placed respectively on A, B and C. The force acting on B is

A

125 dynes

B

35 dynes

C

25 dynes

D

Zero

Answer

25 dynes

Explanation

Solution

Net force on B Fnet=FA2+FC2F_{net} = \sqrt{F_{A}^{2} + F_{C}^{2}}

FA=15×12(3)2=20F _ { A } = \frac { 15 \times 12 } { ( 3 ) ^ { 2 } } = 20 dyne FC=12×20(4)2=15dyneF_{C} = \frac{12 \times 20}{(4)^{2}} = 15dyne

Fnet=25dyneF_{net} = 25dyne