### Problem 5Electric charge \( q_s \) is placed at the corner of a right triangle-shaped plate. The width \( W \) and diagonal length \( D \) of the plate are shown in the diagram.#### Diagram DescriptionThe diagram consists of a right triangle with the electric charge \( q_s \) located at one of its corners. The width \( W \) extends horizontally from this corner, and the diagonal \( D \) extends to the opposite corner of the right triangle.#### Part aA location at the exact middle of the vertical leg of the right triangle is defined by position vector \( \vec{r}_A \). Express \( \vec{r}_A \) in component form using the chosen coordinate system below. Your expression should only contain variables from the problem statement or diagram.- **Diagram Explanation**: This part of the diagram shows an arrow labeled \( \vec{r}_A \) pointing to the center of the vertical leg of the triangle, representing the position vector. - **Coordinate System**: The chosen coordinate system is defined with \( \hat{x} \) pointing to the right, \( \hat{y} \) pointing upward, and \( \hat{z} \) pointing outward.#### Part bThe following equation describes the electric field due to charge \( q_s \) at location A:\[\vec{E}_s = \frac{kq_s}{|\vec{r}_A|^2} \hat{r}_A\]where \( k = 8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2 \).- **i.** Draw the direction of the electric field due to charge \( q_s \) at location A if \( q_s = +Q \).- **ii.** Draw the direction of the electric field due to charge \( q_s \) at location A if \( q_s = -Q \). These tasks involve illustrating the electric field vectors at point A based on the sign of the charge \( q_s \).

We are given a charge at corner of right angled triangle. The position vector is shown in figure. We…

Answered: 5. Electric charge qs is placed at the…

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