The Internet

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

0 Points

▲ good 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.

0 Points

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.

March 6, 2024, 8 a.m.

0 Points

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.

##### Other Most Relevant Questions:
Begin Your Vector Space Exploration At This Question
##### Question Tags
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.
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://www.theinternet.io/articles/ask-ai/calculating-electric-force-charged-clouds-and-the-power-of-20-c-separated-by-3-km/", "fetch_time": 1718412373000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2024-26/segments/1718198861578.89/warc/CC-MAIN-20240614235857-20240615025857-00663.warc.gz", "warc_record_offset": 923538511, "warc_record_length": 22514, "token_count": 547, "char_count": 1902, "score": 4.03125, "int_score": 4, "crawl": "CC-MAIN-2024-26", "snapshot_type": "latest", "language": "en", "language_score": 0.9246079325675964, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00061-of-00064.parquet"}