Given the two charged particles shown in the figure below, find the electric field at the...

Given the two charged particles shown in the figure below, find the electric field at the origin. (Let q₁ = −26.00 nC and q₂ = 7.00 nC. Express your answer in vector form.) q1 is at (2,4) and q2 is at (-2,3)

Expert Solution

The position vectors of origin w.r.t each particle can be given as

r₁ = -2 - 4

r₂ = 2 - 3

Now electric field by a charged particle is given as E = kq/r³ , k = 1/4 = 9 x 10⁹

Which means that

E₁ = kq₁r₁/|r₁|³ = 9 x 10⁹ x (-26 nC) x (-2 - 4)/(2² + 4²)^3/2 = 5.2324 + 10.4648 N/C

E₁ = kq₁r₁/|r₁|³ = 9 x 10⁹ x (7 nC) x (2 - 3)/(2² + 3²)^3/2 = 1.344(2 - 3) = 2.688 - 4.032 N/C

Net electric field on origin can be given as E = E₁ + E₂ = 7.92 + 6.4328

genius_generous answered 2 years ago

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