Mock Exam1 Solutions_v3

# Mock Exam1 Solutions_v3 - Mock Exam#1 Solutions Problem 1...

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Unformatted text preview: Mock Exam #1 Solutions Problem 1: An electric field is defined in rectangular coordinates as ˆ ˆ 3 [V/m] E xx yy = + (This is a valid electrostatic field.) Calculate the voltage drop AB V , where A is the point (0,0,0) and B is the point (1,1,0) in rectangular coordinate by using 1) rectangular coordinates, along the straight path (0,0) -> (1,0) and then along the straight path (1,0) -> (1,1), 2) rectangular coordinates, along the dashed line. 3) Find the potential (B) Φ when the reference is (A) 0[V] Φ = . 1) ˆ ˆ ˆ ˆ ( 3 ) ( ) A B B AB B A A V E dl E dl xx yy dxx dyy = - × = × = + × + ∫ ∫ ∫ 1 1 3 3 B AB A V xdx ydy xdx ydy = + = + ∫ ∫ ∫ 1 3 2 [V] 2 2 AB V = + = 2) ˆ ˆ ˆ ˆ ( 3 ) ( ) 3 A B B B AB B A A A V E dl E dl xx yy dxx dyy xdx ydy = - × = × = + × + = + ∫ ∫ ∫ ∫ , y x dy dx = = Q 1 3 3 4 2 [V] B B AB A A V xdx ydy xdx xdx xdx = + = + = = ∫ ∫ ∫ 3) (A) (B) V (B) (A) V 2 2 [V] AB AB Φ- Φ = ⇒ Φ = Φ- =- = - Problem 2: Two disks of charge of radius a with equal and opposite surface charge densities are positioned symmetrically about the z-axis, each at a distance...
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Mock Exam1 Solutions_v3 - Mock Exam#1 Solutions Problem 1...

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