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2.50 cm . Part A What is q 1 (magnitude and sign) if the net force on q 3 is zero? ANSWER: q = = 1.02 1 nC Exercise 21.14 Description: Point charge q_1 is located at x = 0, y = 0.30 m, point charge q_2 is located at x = 0 y = -0.30 m. What are (a)the magnitude and (b)direction of the total electric force that these charges exert on a third point charge Q=## mu C at x = 0.40 m, y = 0? ... Point charge 1.5 µC is located at x = 0, y = 0.30 m , point charge -1.5 µC is located at x = 0 y = -0.30 m. What are (a)the magnitude and (b)direction of the total electric force that these charges exert on a third point charge Q = 4.0 µC at x = 0.40 m, y = 0? Part A Express your answer using two significant figures. ANSWER: |F| = = 0.26 N Part B ANSWER: θ = 90.0 ∘ clockwise from the +x direction Exercise 21.23 Description: Four identical charges Q are placed at the corners of a square of side L. (a) Find the magnitude total force exerted on one charge by the other three charges. Four identical charges Q are placed at the corners of a square of side L. Part A Find the magnitude total force exerted on one charge by the other three charges. Express your answer in terms of the variables Q, L and appropriate constants. ANSWER: ∣ F⃗ ∣ = Also accepted: , Mystery Charge Description: Calculate an unknown charge from known charges and forces derived from Coulomb's law Consider the following configuration of fixed, uniformly charged spheres (see figure):
a blue sphere fixed at the origin with positive charge q. a red sphere fixed at the point ( d 1 , 0) with unknown charge q red , a yellow sphere fixed at the point ( d 2 cos(θ), −d 2 sin(θ)) with unknown charge q yellow . The net electric force on the blue sphere is observed to be F ⃗ = (0, −F) , where F > 0. Part A What is the sign of the charge on the yellow sphere? ANSWER: positive negative Part B What is the sign of the charge on the red sphere? ANSWER: positive negative Part C Suppose that the magnitude of the charge on the yellow sphere is determined to be 2q. Calculate the charge q red on the red sphere. Express your answer in terms of q, d 1 , d 2 , and θ. Hint 1. How to approach the problem From the problem statement, you know that the x component of the net force acting on the blue sphere must vanish. The red sphere and the yellow sphere each exert a force on the blue sphere. You know the charge of the yellow sphere. This allows you to calculate the x component of the force that the yellow sphere exerts on the blue sphere. You need to find the appropriate charge q red for the red sphere such that the x components of the two forces sum to zero. Hint 2. Find the force due to the yellow sphere Find F x.yellow the x component of the force that the yellow sphere exerts on the blue sphere. q d 2 θ k 1 Express your answer in terms of , , and . You may use for , where ϵ represents the permittivity of free space. 4πϵ 0 0 Hint 1. How to approach this part Use Coulomb's Law to find the force due to the yellow charge on the blue charge. Then resolve this force into components.
Page 1: Signed in as Jolie Cizewski , Instr
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