ماع P A line of charger of length L has charge deursity >=ay, eteenty a linear. where Y 15 a distance measured from the right hand side of the roc, as shown. a) Find E d to the right of the rod, as shown b) find the total charge & of the rod Express answers in terms of K, dj L, and a

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**Electrostatics Homework**

**Due: Thursday, October 13**

---

### Problem 1

**Diagram Explanation:**

A horizontal line represents a charged rod of length \( L \). There is a point \( P \) located at a distance \( d \) to the right of the rod. The variable \( y \) is marked from the right-hand side of the rod towards the left.

**Problem Description:**

A line of charge of length \( L \) has a linear charge density \( \lambda = ky \), where \( y \) is measured from the right-hand side of the rod, as shown.

a) Find the electric field \( E \) at a distance \( d \) to the right of the rod, as shown.

b) Find the total charge \( Q \) of the rod. Express answers in terms of \( k \), \( d \), \( L \), and \( Q \).

---

### Problem 2

**Diagram Explanation:**

A horizontal charged rod of length \( a \) is shown. There is a point \( P \) located at a distance \( x \) below the rod. 

**Problem Description:**

a) Find the electric field components \( E_x \) and \( E_y \) at point \( P \), where the rod has a total charge \( Q \). Assume a uniform charge density.

Given:
- \( x = 10 \text{ cm} \)
- \( a = 20 \text{ cm} \)
- \( Q = 16 \times 10^{-9} \text{ C} \)

b) Find the acceleration on an electron placed at \( P \).

---
Transcribed Image Text:**Electrostatics Homework** **Due: Thursday, October 13** --- ### Problem 1 **Diagram Explanation:** A horizontal line represents a charged rod of length \( L \). There is a point \( P \) located at a distance \( d \) to the right of the rod. The variable \( y \) is marked from the right-hand side of the rod towards the left. **Problem Description:** A line of charge of length \( L \) has a linear charge density \( \lambda = ky \), where \( y \) is measured from the right-hand side of the rod, as shown. a) Find the electric field \( E \) at a distance \( d \) to the right of the rod, as shown. b) Find the total charge \( Q \) of the rod. Express answers in terms of \( k \), \( d \), \( L \), and \( Q \). --- ### Problem 2 **Diagram Explanation:** A horizontal charged rod of length \( a \) is shown. There is a point \( P \) located at a distance \( x \) below the rod. **Problem Description:** a) Find the electric field components \( E_x \) and \( E_y \) at point \( P \), where the rod has a total charge \( Q \). Assume a uniform charge density. Given: - \( x = 10 \text{ cm} \) - \( a = 20 \text{ cm} \) - \( Q = 16 \times 10^{-9} \text{ C} \) b) Find the acceleration on an electron placed at \( P \). ---
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Given Data:

The length of the rod is L

Linear density λ=ay

Point "P" is located at a distance "d" from the rod.

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