assign2_calculus - b. The straight line (0,0,0) to (2,1,3)...

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EE1259: Electromagnetic assignment 1 EE1259 Assignment 2 (Due on Thursday, September 13, 2007) 1. Variables substitution: Given the same function in both cylindrical coordinate f( ρ , φ , z) and in spherical coordinate f(r, θ , ) prove that = + = f r r f z f f r r f f sin cos cos sin 2. Line integral: If the integral B A l d F r r is regarded as the work done in moving a particle from A to B, find the work done by the force field z y x a xz a z x a xy F r r r r 2 2 2 3 2 + = ) ( On a particle that travels from A(0,0,0) to B(2,1,3) along a. The segment (0,0,0) to (0,1,0) to (2,1,0) to (2,1,3)
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Unformatted text preview: b. The straight line (0,0,0) to (2,1,3) 3. Compute the line integral of z y x a z y a yz a x v r r r r ) 3 ( 6 2 + + + = along the path shown below. 4. Compute the line integral of a r a r a r v r r r r r 3 sin cos cos 2 + − = Along the path shown below (the points are labeled by their Cartesian coordinates). You can do it either in cylindrical or in spherical coordinates Figure for Problem # 3 Figure for Problem # 4...
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This homework help was uploaded on 04/10/2008 for the course ECE 1259 taught by Professor Chen during the Fall '07 term at Pittsburgh.

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