Three point charges are located on a circular arc as shown in the figure below. (Take r = 3.92 cm. Let to the right be the +x direction and up along the screen be the +y direction.) +3.00 nC r -2.00 nC 30.0° P 30.0° r +3.00 nC Ⓡ (a) What is the total electric field at P, the center of the arc? E = ÎN/C+ ĴN/C (b) Find the electric force that would be exerted on a -4.55-nC point charge placed at P. F = ÎN+ ĴN Need Help? Read It

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**Electric Fields and Forces in Circular Configurations**

Three point charges are located on a circular arc as shown in the figure below. (Take \( r = 3.92 \) cm. Let to the right be the \( +x \) direction and up along the screen be the \( +y \) direction.)

- A +3.00 nC charge is positioned at the top of the arc.
- A -2.00 nC charge is positioned at the left end of the arc.
- A +3.00 nC charge is positioned at the bottom of the arc.
- The angle between each of the +3.00 nC charges and the -2.00 nC charge is 30.0° at point \( P \).

### Diagram
At the center, point \( P \) is the point where the total electric field and force calculations are focused.

\[
\color{white}
\begin{diagram}
\begin{array}{c}
+3.00\, \text{nC}\\
\quad\quad\quad \\
\quad\quad\quad
\end{array}
\end{diagram}
\]

### (a) Calculation of Total Electric Field at \( P \)

**Question:** What is the total electric field at \( P \), the center of the arc? 

\[
\vec{E} = \quad \boxed{} \hat{i}\, \text{N/C} + \boxed{} \hat{j}\, \text{N/C}
\]

### (b) Electric Force on a Placed Charge

**Question:** Find the electric force that would be exerted on a -4.55 nC point charge placed at \( P \).

\[
\vec{F} = \quad \boxed{} \hat{i}\, \text{N} + \boxed{} \hat{j}\, \text{N}
\]

For further assistance with the concepts and problem-solving techniques, refer to the additional resources.

**Need Help?**

For more information or help with this topic, read additional materials or seek assistance from educational resources.

*Read It*
Transcribed Image Text:**Electric Fields and Forces in Circular Configurations** Three point charges are located on a circular arc as shown in the figure below. (Take \( r = 3.92 \) cm. Let to the right be the \( +x \) direction and up along the screen be the \( +y \) direction.) - A +3.00 nC charge is positioned at the top of the arc. - A -2.00 nC charge is positioned at the left end of the arc. - A +3.00 nC charge is positioned at the bottom of the arc. - The angle between each of the +3.00 nC charges and the -2.00 nC charge is 30.0° at point \( P \). ### Diagram At the center, point \( P \) is the point where the total electric field and force calculations are focused. \[ \color{white} \begin{diagram} \begin{array}{c} +3.00\, \text{nC}\\ \quad\quad\quad \\ \quad\quad\quad \end{array} \end{diagram} \] ### (a) Calculation of Total Electric Field at \( P \) **Question:** What is the total electric field at \( P \), the center of the arc? \[ \vec{E} = \quad \boxed{} \hat{i}\, \text{N/C} + \boxed{} \hat{j}\, \text{N/C} \] ### (b) Electric Force on a Placed Charge **Question:** Find the electric force that would be exerted on a -4.55 nC point charge placed at \( P \). \[ \vec{F} = \quad \boxed{} \hat{i}\, \text{N} + \boxed{} \hat{j}\, \text{N} \] For further assistance with the concepts and problem-solving techniques, refer to the additional resources. **Need Help?** For more information or help with this topic, read additional materials or seek assistance from educational resources. *Read It*
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