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Answer 1 and 2

Phys 212 Tutorial 05 Potential Field and Capacitance Name: 1. A cylindrical capacitor: Two concentric cylinders have radii a and b and height L, with b> a. The inner cylinder carries -Q total charge -Q, and the outer cylinder carries total charge Q. We ignore end effects (i.e. L >> b). Find the direction and magnitude of the electric field in between the inner and outer cylinders (a <r < b). Gaussian surface You can use Gauss' law with the gaussian surface displayed or simply use known results from Chap 23 about the electric field from continuous distribution of charges. 2. Find an expression for the voltage difference between the cylinders in terms of the charge Q, the radii a and b, the height L, and any other constants that you may find necessary.
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Transcribed Image Text:Phys 212 Tutorial 05 Potential Field and Capacitance Name: 1. A cylindrical capacitor: Two concentric cylinders have radii a and b and height L, with b> a. The inner cylinder carries -Q total charge -Q, and the outer cylinder carries total charge Q. We ignore end effects (i.e. L >> b). Find the direction and magnitude of the electric field in between the inner and outer cylinders (a <r < b). Gaussian surface You can use Gauss' law with the gaussian surface displayed or simply use known results from Chap 23 about the electric field from continuous distribution of charges. 2. Find an expression for the voltage difference between the cylinders in terms of the charge Q, the radii a and b, the height L, and any other constants that you may find necessary.
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