Explanation Draw the vector diagram showing the direction of electric fields due to charges. Write the relation between the distance from charge to point A and the distance from charge to midpoint of line joining the charges. r 2 = ( d 2 ) 2 + y 2 Here, r is the distance from charge to point A, y is the distance from point A to midpoint of line joining the charges and d is the separation between charges. Rewrite the above expression in terms of r . r = 1 2 d 2 + 4 y 2 Write the equation to find cosine of angle θ . cos θ = y r Write the equation to find sine of angle θ . sin θ = d 2 r Write the equation for electric fields produced by charge 2 q at point A. E → 2 q = k 2 q ( d 2 ) 2 + y 2 ( sin θ i ^ + cos θ j ^ ) Here, E → 2 q is the electric field produced by 2 q , and k is the Columb constant. Rearrange and rewrite the above equation by substituting y r for cos θ and d 2 r for sin θ . E → 2 q = k 4 q d 2 + 4 y 2 ( d r i ^ + 2 y r j ^ ) (I) Write the equation for electric fields produced by charge q at point A. E → 2 q = k q ( d 2 ) 2 + y 2 ( − sin θ i ^ + cos θ j ^ ) Rearrange and rewrite the above equation by substituting y r for cos θ and d 2 r for sin θ

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Chapter 24, Problem 70PQ

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The equation for electric field at point A in terms of parameters shown in figure.

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Chapter 24, Problem 69PQ

Chapter 24, Problem 71PQ

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Ch. 24.2 - In a few sentences, explain how you know that...Ch. 24.2 - What is the magnitude of the electric field due to...Ch. 24.3 - Which lines in Figure 24.7 cannot represent an...Ch. 24.4 - Figure 24.10 shows a source that consists of two...Ch. 24.4 - A water molecule is made up of two hydrogen atoms...Ch. 24.5 - a. Figure 24.22A shows a rod of length L and...Ch. 24 - The terms electrostatic force and electrostatic...Ch. 24 - Prob. 2PQ Ch. 24 - A sphere has a charge of 89.5 nC and a radius of...Ch. 24 - Prob. 4PQ

Ch. 24 - A sphere with a charge of 3.50 nC and a radius of...Ch. 24 - Is it possible for a conducting sphere of radius...Ch. 24 - Prob. 7PQ Ch. 24 - For each sketch of electric field lines in Figure...Ch. 24 - Prob. 9PQ Ch. 24 - Two large neutral metal plates, fitted tightly...Ch. 24 - Given the two charged particles shown in Figure...Ch. 24 - Prob. 12PQ Ch. 24 - Prob. 13PQ Ch. 24 - A particle with charge q on the negative x axis...Ch. 24 - Prob. 15PQ Ch. 24 - Figure P24.16 shows three charged particles...Ch. 24 - Figure P24.17 shows a dipole. If the positive...Ch. 24 - Find an expression for the electric field at point...Ch. 24 - Figure P24.17 shows a dipole (not drawn to scale)....Ch. 24 - Figure P24.20 shows three charged spheres arranged...Ch. 24 - Often we have distributions of charge for which...Ch. 24 - Prob. 22PQ Ch. 24 - A positively charged rod with linear charge...Ch. 24 - A positively charged rod of length L = 0.250 m...Ch. 24 - Prob. 25PQ Ch. 24 - Prob. 26PQ Ch. 24 - A Find an expression for the position y (along the...Ch. 24 - The electric field at a point on the perpendicular...Ch. 24 - Prob. 29PQ Ch. 24 - Find an expression for the magnitude of the...Ch. 24 - What is the electric field at point A in Figure...Ch. 24 - A charged rod is curved so that it is part of a...Ch. 24 - If the curved rod in Figure P24.32 has a uniformly...Ch. 24 - aA plastic rod of length = 24.0 cm is uniformly...Ch. 24 - A positively charged disk of radius R = 0.0366 m...Ch. 24 - A positively charged disk of radius R and total...Ch. 24 - A uniformly charged conducting rod of length =...Ch. 24 - Prob. 38PQ Ch. 24 - Prob. 39PQ Ch. 24 - Prob. 40PQ Ch. 24 - Prob. 41PQ Ch. 24 - Prob. 42PQ Ch. 24 - What are the magnitude and direction of a uniform...Ch. 24 - An electron is in a uniform upward-pointing...Ch. 24 - Prob. 45PQ Ch. 24 - Prob. 46PQ Ch. 24 - A very large disk lies horizontally and has...Ch. 24 - An electron is released from rest in a uniform...Ch. 24 - In Figure P24.49, a charged particle of mass m =...Ch. 24 - Three charged spheres are suspended by...Ch. 24 - Figure P24.51 shows four small charged spheres...Ch. 24 - Prob. 52PQ Ch. 24 - A uniform electric field given by...Ch. 24 - A uniformly charged ring of radius R = 25.0 cm...Ch. 24 - Prob. 55PQ Ch. 24 - Prob. 56PQ Ch. 24 - A potassium chloride molecule (KCl) has a dipole...Ch. 24 - Prob. 58PQ Ch. 24 - Prob. 59PQ Ch. 24 - Prob. 60PQ Ch. 24 - A total charge Q is distributed uniformly on a...Ch. 24 - A simple pendulum has a small sphere at its end...Ch. 24 - A thin, semicircular wire of radius R is uniformly...Ch. 24 - Prob. 64PQ Ch. 24 - Prob. 65PQ Ch. 24 - Prob. 66PQ Ch. 24 - Prob. 67PQ Ch. 24 - Prob. 68PQ Ch. 24 - A thin wire with linear charge density =0y0(14+1y)...Ch. 24 - Prob. 70PQ Ch. 24 - Two positively charged spheres are shown in Figure...Ch. 24 - Prob. 72PQ Ch. 24 - Prob. 73PQ Ch. 24 - Prob. 74PQ Ch. 24 - A conducting rod carrying a total charge of +9.00...Ch. 24 - Prob. 76PQ Ch. 24 - A When we find the electric field due to a...Ch. 24 - Prob. 78PQ Ch. 24 - Prob. 79PQ Ch. 24 - Prob. 80PQ Ch. 24 - Prob. 81PQ Ch. 24 - Prob. 82PQ

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