Answer to Question #138227 in Mechanics | Relativity for Basa

Question #138227
Three point charges are arranged such that they take the shape of an isosceles triangle with sides 2.00C, -4.00C, 7.00C subtended by an angle of 60.0 degree at one end. Find(a) the magnitude and (b) the direction of the electric force on the particle at the origin.
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Expert's answer
2020-10-16T10:59:58-0400

Let the particles be arranged such that -4C is at origin.

Let 2C be placed on y-axis at a distance of 1m.

Let 7C be placed on x-axis at a distance of 1m.


Then force due to 2C charge on the charge at origin,

F1=14πϵ02×412=72×109NF_1 = \frac{1}{4\pi \epsilon_0} \frac{2\times 4 }{1^2} = 72\times 10^9 N along y-axis.


Force due to charge 7C,

F2=14πϵ04×712=252×109NF_2 = \frac{1}{4\pi \epsilon_0} \frac{4\times 7}{1^2} = 252\times 10^9 N along x-axis.


Since F1F_1 and F2F_2 are perpendicular to each other then resultant force will be,

F=F12+F22=262.084NF = \sqrt{F_1^2 + F_2^2} = 262.084 N



Direction is given by,

θ=tan172×109252×109=15.9\theta = tan^{-1}\frac{ 72 \times 10^9}{ 252 \times 10^9} = 15.9^{\circ} with the x-axis.


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