three charges 1 microcoulomb, 1 microcoulomb and 2 microcoulomb are kept at the vertices A B and C of a equilateral triangle ABC of 10cm side respectively the resultant force on the charge at c is?
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q1 = 1μC = 10⁻⁶C
q2 = 1μC = 10⁻⁶C
q3 = 2μC = 2 x 10⁻⁶ C
r = 10 cm = 10 x 10⁻² m
Force on charge q3 due to charge q1
F(q3)(q1) = K 2(10⁻⁶)(10⁻⁶)100 / 10
F(q3)(q1) = 9 x 2 x 10⁹ x 10⁻¹² x 10² = 9 x 10⁻¹ = 1.8 N
Force on charge q3 due to charge due to charge q2
F(q3)(q2) = 1.8 N
Net force on charge q3
F(net) = √(1.8)²+ (1.8)² + 2(1.8)(1.8) cos60
F(net) = √(1.8)²( 1 + 1 + 2 x 1/2 )
F(net) = 1.8 √3 N
q2 = 1μC = 10⁻⁶C
q3 = 2μC = 2 x 10⁻⁶ C
r = 10 cm = 10 x 10⁻² m
Force on charge q3 due to charge q1
F(q3)(q1) = K 2(10⁻⁶)(10⁻⁶)100 / 10
F(q3)(q1) = 9 x 2 x 10⁹ x 10⁻¹² x 10² = 9 x 10⁻¹ = 1.8 N
Force on charge q3 due to charge due to charge q2
F(q3)(q2) = 1.8 N
Net force on charge q3
F(net) = √(1.8)²+ (1.8)² + 2(1.8)(1.8) cos60
F(net) = √(1.8)²( 1 + 1 + 2 x 1/2 )
F(net) = 1.8 √3 N
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