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Q.

A positive point charge 50μC is located in the plane x y at a point with radius vectorr→0=2i^+3j^ . Evaluate the electric field vector E→ at a point with radius vectorr→=8i^−5j^ , where r0 and r are expressed in meters.

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a

(1.4i^−2.6j^)kNC−1

b

(1.4i^+2.6j^)kNC−1

c

(2.7i^−3.6j^)kNC−1

d

(2.7i^+3.6j^)kNC−1

answer is C.

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Detailed Solution

E→=14πε0q(r−r0)3(r→−r→0)r→−r→0=(8i^−5j^)−(2i^+3j^) =(6i^−8j^)|r→−r→0|=62+82=10mE→=9×109×50×10−6(10)3(6i^−8j^)E→=(2.7i^−3.6j^)kNC−1 E=27002+36002E=4500NC−1

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