Question #87936

Two stationary charged objects are 20.0 cm apart from each other. Object B is (-2.6mC) and object L is (-3.4mC). What is the electric field (provide the magnitude and direction) they generate at the midpoint between them?

Expert's answer

EB=kqBr2=(9⋅109)(2.6⋅10−3)0.12=2.34⋅109NCE_B=\frac{kq_B}{r^2}=\frac{(9 \cdot 10^9)(2.6 \cdot 10^{-3})}{0.1^2}=2.34 \cdot 10^9 \frac{N}{C}

Directed to the object B.


EL=kqLr2=(9⋅109)(3.4⋅10−3)0.12=3.06⋅109NCE_L=\frac{kq_L}{r^2}=\frac{(9 \cdot 10^9)(3.4 \cdot 10^{-3})}{0.1^2}=3.06 \cdot 10^9 \frac{N}{C}

Directed to the object L.

Net electric field:


E=EL−EB=3.06⋅109−2.34⋅109=7.2⋅108NCE=E_L-E_B=3.06 \cdot 10^9-2.34 \cdot 10^9=7.2 \cdot 10^8 \frac{N}{C}

Directed to the object L.


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