1. A cylindrical capacitor: Two concentric cylinders have radii a and b and height L, with b> a. The inner cylinder carries 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 L Gaussian surface (a
1. A cylindrical capacitor: Two concentric cylinders have radii a and b and height L, with b> a. The inner cylinder carries 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 L Gaussian surface (a
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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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