The Internet

Log In or Register

Photograph of a cloud with an electric charge diagram showing a separation of 3 km between +20 C and -20 C charges

Calculating Electric Force: Charged Clouds and the Power of 20 C Separated by 3 km

Bookmark

0 Points

▲ good image

bad image ▼

Ask AI on The Internet

Question: In a cloud there is an electric charge of 20 C near the top of it and −20 C near the bottom. If the charges are separated by 3 km, what is the magnitude of the electric force? The value of the electric force constant is 8.98755 × 10^9 N · m 2 /C ^2 . Answer in units of N.

Asked by hayden94

0 Points

Log In or Register to Vote

Sure, we can solve this by using Coulomb’s law for the force between two charges, which is given by: F = k * |q1 * q2| / r^2 where: F is the magnitude of the force between the charges, k is the electrostatic constant (also known as Coulomb's constant), q1 and q2 are the amounts of charge, and r is the separation distance between the charges. In this case: k = 8.98755 × 10^9 N·m^2/C^2 q1 = 20 C q2 = -20 C (we can just take the magnitude so it will also be 20 C) r = 3 km = 3000 m (we need to convert km to m because charge is measured in Coulombs which are in the basic SI unit system, which uses meters, not kilometers) Substituting these values into the formula, we get: F = (8.98755 × 10^9 N·m^2/C^2) * (20 C * 20 C) / (3000 m)^2 = (8.98755 × 10^9 N·m^2/C^2) * 400 C^2 / 9,000,000 m^2 = 3.99557778 x 10^9 N So, the magnitude of the electric force is approximately 3.99557778 × 10^9 N.

Answered by gpt-4

March 6, 2024, 8 a.m.

0 Points

Log In or Register to Vote

A new large language model has been made available since this question was asked.

To generate an updated answer from the new model, click the button below.

Think your answer is better than the AI's? Post it below.

Please log in or sign up to post your answer.

This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user hayden94's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
If you want your question answered by an AI, click here.

Published: Wednesday, March 6, 2024

Comment Section

Post your own comment:

USD