Question #298845

What is the magnitude of the electric field at a distance of 1.5m from a point charge with q=3.5C?








1
Expert's answer
2022-02-17T04:36:42-0500

We find the magnitude of the electric field with Ei=kqd2\vert{\vec{E_i}}\vert=\dfrac{kq}{d^2}, where the constant k = 9 X 109 Nm2/C2. Since the distance d = 1.5 m, and the charge q = 3.5 C, we proceed to substitute to find the magnitude of E:


E=(9×109Nm2C2)(3.5C)(1.5m)2=1.4×1010NC\vert\vec{E}\vert=\dfrac{(9×10^9\frac{Nm^2}{C^2})(3.5\,C)}{(1.5\,m)^2}=1.4×10^{10}\frac{N}{C}


In conclusion, the magnitude of the electric field will be |E| = 1.4 X 1010 N/C.


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