A positive point charge $$50$$μC 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.

Question

A  positive point charge $$50$$μC     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.

Infinity Learn · Accepted Answer

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

A positive point charge $50 μ C$ is located in the plane x y at a point with radius vector ${\vec{r}}_{0} = 2 \hat{i} + 3 \hat{j}$ . Evaluate the electric field vector $\vec{E}$ at a point with radius vector $\vec{r} = 8 \hat{i} - 5 \hat{j}$ , where $r_{0}$ and r are expressed in meters.

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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 positive point charge $50 μ C$ is located in the plane x y at a point with radius vector ${\vec{r}}_{0} = 2 \hat{i} + 3 \hat{j}$ . Evaluate the electric field vector $\vec{E}$ at a point with radius vector $\vec{r} = 8 \hat{i} - 5 \hat{j}$ , where $r_{0}$ and r are expressed in meters.