Consider the following cone with volume charge density p(x) = ax as given in class y (a) Can one use Gauss' law to calculate the electric field at (x, 0)? Why or why not? Explain. E (b) (Challenge and not graded) Find the electric field at (x, 0) by integrating charged discs. Recall that - 2kQ R² (h,0) (1-√² dQ = pdV = pAdx (x,0) x² + R² (Uniform charged disc) (Volume density)
Consider the following cone with volume charge density p(x) = ax as given in class y (a) Can one use Gauss' law to calculate the electric field at (x, 0)? Why or why not? Explain. E (b) (Challenge and not graded) Find the electric field at (x, 0) by integrating charged discs. Recall that - 2kQ R² (h,0) (1-√² dQ = pdV = pAdx (x,0) x² + R² (Uniform charged disc) (Volume density)
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Transcribed Image Text:Consider the following cone with volume charge density p(x) = ax as given in class
y
E
(h,0)
(a) Can one use Gauss' law to calculate the electric field at (x, 0)? Why or why not?
Explain.
=
(b) (Challenge and not graded) Find the electric field at (x, 0) by integrating
charged discs. Recall that
(x,0)
2kQ² (1-√²²+R²)
dQ = pdVpAdx
X
(Uniform charged disc)
(Volume density)
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