Solution Found!
Flux across a cone Consider the field F = ? x, y, z? and
Chapter 11, Problem 57E(choose chapter or problem)
QUESTION:
Consider the field \(\mathbf{F}=\langle x, y, z\rangle\) and the cone \(z^{2}=\left(x^{2}+y^{2}\right) / a^{2}\), for \(0 \leq z \leq 1\).
a. Show that when \(a=1\), the outward flux across the cone is zero. Interpret the result.
b. Find the outward flux (away from the z-axis), for any \(a>0\). Interpret the result.
Questions & Answers
QUESTION:
Consider the field \(\mathbf{F}=\langle x, y, z\rangle\) and the cone \(z^{2}=\left(x^{2}+y^{2}\right) / a^{2}\), for \(0 \leq z \leq 1\).
a. Show that when \(a=1\), the outward flux across the cone is zero. Interpret the result.
b. Find the outward flux (away from the z-axis), for any \(a>0\). Interpret the result.
ANSWER:Solution 57E
Step 1
