https://file.aiquickdraw.com/mathbot/file/1727109865221nzo76le8.jpg

The problem you uploaded involves a square configuration of electric charges placed at the four corners of a square. The charges are given as \(+q\) and \(-q\), with equal magnitudes but opposite signs. Here's a breakdown of the problem:

### Part (a):
It provides the formula for calculating the potential energy \( U \) of the system:

\[
U = - \left(\sqrt{2}\right) \cdot k \cdot \frac{q^2}{L}
\]

Where:
- \( q \) is the magnitude of the charge,
- \( L \) is the side length of the square,
- \( k \) is Coulomb's constant.

### Part (b):
You are asked to compute the potential energy in millijoules, given:
- \( L = 6.51 \, \text{m} \),
- \( q = 6.03 \, \mu \text{C} \) (microcoulombs).

Let's go ahead and calculate the potential energy based on the provided information.

A collection of electric charges is placed at the four corners of a square with sides of length L. All charges have the same magnitude, and the signs are explicitly indicated as +q and -q. Given L = 6.51 m and q = 6.03 μC, what is the potential energy in millijoules?

This problem calculates the potential energy of a system of electric charges arranged in a square with side length L = 6.51 m and charge magnitude q = 6.03 μC using Coulomb's Law. A detailed solution is provided, including the key formula U = - (√2) k * (q^2 / L).

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation