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IP Four point charges, each of magnitude q, are located at
Chapter 19, Problem 51P(choose chapter or problem)
Problem 51P
IP Four point charges, each of magnitude q, are located at the corners of a square with sides of length a. Two of the charges are +q, and two aie −q. The charges are arranged in one of the following two ways: (1) The charges alternate in sign (+q, −q, +q, −q) as you go around the square; (2) the top two comers of the square have positive charges (+q, +q), and the bottom two corners have negative charges (−q, −q). (a) In which case will the electric field at the center of the square have the greatest magnitude? Explain, (b) Calculate the electric field at the center of the square for each of these two cases.
Questions & Answers
QUESTION:
Problem 51P
IP Four point charges, each of magnitude q, are located at the corners of a square with sides of length a. Two of the charges are +q, and two aie −q. The charges are arranged in one of the following two ways: (1) The charges alternate in sign (+q, −q, +q, −q) as you go around the square; (2) the top two comers of the square have positive charges (+q, +q), and the bottom two corners have negative charges (−q, −q). (a) In which case will the electric field at the center of the square have the greatest magnitude? Explain, (b) Calculate the electric field at the center of the square for each of these two cases.
ANSWER:
Step 1 of 5
In the given two cases, we need to find and calculate the electric field at the center of the square.
Configuration 1- is shown in the figure below,
Configuration 2- is shown in the figure below,
