Unformatted text preview: cylindrical coordinates. (a) Calculate the total current I . (b) Calculate the magnetic field B inside and outside the wire. 6. An electric field E is given by E = E o [( x / a ) 2 x ^ + ( y / b ) 3 y ^ ], where a and b are constants. (a) Calculate the charge density that produced it. (b) Calculate the potential difference between the origin and the point x = 3 a . 7. A magnetic field B is given by B = B o [( y / a ) 2 x ^ + ( x / b ) y ^ ], where a and b are constants. (a) Calculate the current density that produced it. (b) Are there any restrictions on the values for a and b in order that div B = 0? 8. Outline the method for solving Laplace’s equation in two dimensions in right-handed, rectangular, Cartesian coordinate systems. y x z out x x=-a x=0 x=+a...
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- Fall '10
- Work, Magnetic Field, Polar coordinate system