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QJEEM22Phe7a4: JEE Main 2022 Physics - Class 12 JEEM22Phe7a4 Solution: Three point charges of magnitude and are located at the…

Three point charges of magnitude 5μC,0.16μC5 \mu \mathrm{C}, 0.16 \mu \mathrm{C} and 0.3μC0.3 \mu \mathrm{C} are located at the vertices A,B,CA, B, C of a right angled triangle whose sides are AB=3 cm,BC=32 cmA B=3 \mathrm{~cm}, B C=3 \sqrt{2} \mathrm{~cm} and CA=3 cmC A=3 \mathrm{~cm} and point AA is the right angle corner. Charge at point A\mathrm{A} experiences ____________ N\mathrm{N} of electrostatic force due to the other two charges.

Step-by-Step Verified Solution

JEE Main 2022 (Online) 26th July Evening Shift Physics - Electrostatics Question 94 English Explanation

FAC=k(5×0.3)×10−129×10−4{F_{AC}} = {{k(5 \times 0.3) \times {{10}^{ - 12}}} \over {9 \times {{10}^{ - 4}}}}

FAB=k(5×0.16)×10−129×10−4{F_{AB}} = {{k(5 \times 0.16) \times {{10}^{ - 12}}} \over {9 \times {{10}^{ - 4}}}}

Fnet=k×10−129×10−41.52+(0.8)2{F_{net}} = {{k \times {{10}^{ - 12}}} \over {9 \times {{10}^{ - 4}}}}\sqrt {{{1.5}^2} + {{(0.8)}^2}}

=109×10−1210−4×1.7=17= {{{{10}^9} \times {{10}^{ - 12}}} \over {{{10}^{ - 4}}}} \times 1.7 = 17

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