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此套题仅 p II含有简答题,
共计时45分钟,共3题
占总分50%
每道大题可能含有不同数量的小题
可以使用计算器
1)A very long, solid, nonconducting cylinder of radius R has a positive charge of uniform volume density r .
A p of the cylinder far from its ends is shown in the diagram above. Let r represent the radial distance from the axis of the cylinder. Express all answers in terms of r, R, r , and fundamental constants, as appropriate.
Using Gauss’s law, derive an expression for the magnitude of the electric field at a radius r < R. Draw an appropriate Gaussian surface on the diagram.
Using Gauss’s law, derive an expression for the magnitude of the electric field at a radius r > R.
On the axes below, sketch the graph of electric field E as a function of radial distance r for r = 0 to r = 2R. Explicitly label any intercepts, asymptotes, maxima, or minima with numerical values or algebraic expressions, as appropriate. Derive an expression for the magnitude of the potential difference between r = 0 and r = R .
Is the potential higher at r = 0 or r = R ?
____ r = 0 ____ r = R
The nonconducting cylinder is replaced with a conducting cylinder of the same shape and same linear charge density. On the axes below, sketch the electric field E as a function of r for r = 0 to r = 2R. Explicitly label any intercepts, asymptotes, maxima, or minima with numerical values or algebraic expressions, as appropriate.
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