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Question 1: Point charges $Q_1 = 2.0 \mu C$ and $Q_2 = 4.0 \mu C$ are located at $\vec{r_1} = (4.0\hat{i} - 2.0\hat{j} + 5.0\hat{k})$ m and $\vec{r_2} = (8.0\hat{i} - 2.0\hat{j} - 1.0\hat{k})$ m. a) What is the force of $Q_2$ on $Q_1$? b) Find the electrical field at position $\vec{r_3} = (2.0\hat{i} + 2.0\hat{j} + 1.0\hat{k})$ m due to the $+2.0 \mu C$ charge. c) What is the electric field due to both charges at $\vec{r_3} = (2.0\hat{i} + 2.0\hat{j} + 1.0\hat{k})$ m. d) What is the flux due to that electric field through a disk parallel to the xy plane and of radius 5.0 cm. The center of the disk is at $\vec{r_3} = (2.0\hat{i} + 2.0\hat{j} + 1.0\hat{k})$ m. Assume the field to be uniform across the surface of the disk. e) Find the electrical potential at position $\vec{r_3} = (2.0\hat{i} + 2.0\hat{j} + 1.0\hat{k})$ m due to both charges. [Make sure to justify all of your answers by writing down the equations used and showing the steps that led to the answer. If the answer relied on conceptual understanding instead, provide the concept or an explanation.] ```

          Question 1: Point charges $Q_1 = 2.0 \mu C$ and $Q_2 = 4.0 \mu C$ are located at $\vec{r_1} = (4.0\hat{i} - 2.0\hat{j} + 5.0\hat{k})$ m and $\vec{r_2} = (8.0\hat{i} - 2.0\hat{j} - 1.0\hat{k})$ m.
a) What is the force of $Q_2$ on $Q_1$?
b) Find the electrical field at position $\vec{r_3} = (2.0\hat{i} + 2.0\hat{j} + 1.0\hat{k})$ m due to the $+2.0 \mu C$ charge.
c) What is the electric field due to both charges at $\vec{r_3} = (2.0\hat{i} + 2.0\hat{j} + 1.0\hat{k})$ m.
d) What is the flux due to that electric field through a disk parallel to the xy plane and of radius 5.0 cm. The center of the disk is at $\vec{r_3} = (2.0\hat{i} + 2.0\hat{j} + 1.0\hat{k})$ m. Assume the field to be uniform across the surface of the disk.
e) Find the electrical potential at position $\vec{r_3} = (2.0\hat{i} + 2.0\hat{j} + 1.0\hat{k})$ m due to both charges.
[Make sure to justify all of your answers by writing down the equations used and showing the steps that led to the answer. If the answer relied on conceptual understanding instead, provide the concept or an explanation.]
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question 1 point charges q1 20 mu c and q2 40 mu c are located at vecr1 40hati 20hatj 50hatk m and vecr2 80hati 20hatj 10hatk m a what is the force of q2 on q1 b find the electrical fi 74194

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