A charge q1 = 7 μC is located at the origin, and a second charge q2 = -5 μC is located on the positive x-axis, 0.3 m from the origin. Find the electric field at point P, which has coordinates (0,0.4) m. Coulomb constant is given by

A charge q1 = 7 μC is located at the origin, and a second charge q2 = -5 μC is located on the positive x-axis, 0.3 m from the origin. Find the electric field at point P, which has coordinates (0,0.4) m. Coulomb constant is given by Ke = 1/4πεo is the = 8.99 × 109 Nm2/C2, εo is the permittivity of free space; $(\widehat i,\widehat j)$ are the unit vectors along x, y axes.

Right Answer is: $(1.1\widehat i + 2.5\widehat j) \times {10^5}N/C$

SOLUTION

The Electric potential field is given by

$E = \dfrac{Q}{{4\pi {\varepsilon _o}{r^2}}}{\widehat a_r}$

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