Question 2: Gauss's Law: Calculus based For this problem assume constants are all in SI units that are not shown (a) An electric field given by E = (3x²). Calculate the flux, PE = $E· dà = f S (E cos(0))dx dy, through surface S shown to the right. The surface exists in the x-y plane, has one corner on the origin (0,0,0), and has side length a = 10cm. (b) Repeat the preceding problem, with E = (2x)i + (4x³) k a a 425

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Question 2: Gauss's Law: Calculus based
For this problem assume constants are all in SI units that are
not shown
(a) An electric field given by E = (3x²)k. Calculate the flux,
PE = $Ē· dà = S S (E cos(0))dx dy, through surface S
shown to the right. The surface exists in the x-y plane, has one
corner on the origin (0,0,0), and has side length a = 10cm.
(b) Repeat the preceding problem, with E = (2x)î+ (4x³) k
a
a
425
Transcribed Image Text:Question 2: Gauss's Law: Calculus based For this problem assume constants are all in SI units that are not shown (a) An electric field given by E = (3x²)k. Calculate the flux, PE = $Ē· dà = S S (E cos(0))dx dy, through surface S shown to the right. The surface exists in the x-y plane, has one corner on the origin (0,0,0), and has side length a = 10cm. (b) Repeat the preceding problem, with E = (2x)î+ (4x³) k a a 425
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