Chapter 23, Problem 003 The cube in the figure has edge length 2.07 m and is ori

Question

Chapter 23, Problem 003 The cube in the figure has edge length 2.07 m and is oriented as shown in a region of unifor electricred. Find the electri ux rough he ght ce f eee ricfield ® h e o tive direction and has magnitude 4.55 N/C, (b) is in the negative y direction and has magnitude 2.99 N/C, and (c) is in the xz plane, has x component-2.69 N/C, and has z component 3.53 N/C (d) What is the total flux through the cube's surface for each field? (a) Number (b) Number (c) Number (d) Number Click if you would like to Show Work for this question: Open Show Work Units Units Units Units

Explanation / Answer

Area, A = 2.07^2 = 4.28 m^2

A)

Flux, phi = E A = 4.55 i x 4.28 j = 0

(Since, i x j = 0)

B)

Phi = (-2.99 j) x (4.28 j) = (-2.99 x 4.28)(j x j) = - 12.80 Nm^2/C

C)

(-2.69 i + 3.53 j) x 4.28 j = 0

(since, i x j = k x j = 0)

C)

Phi = 0

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