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3. A radiation field is described by an angular fluence rate given by $\tilde{\phi}(\vec{r}, \vec{\Omega}) = f(\vec{r})(cos\theta)^{5/4}$ $(0 \le \theta \le \pi /2)$ $\tilde{\phi}(\vec{r}, \vec{\Omega}) = 0$ $(\theta > \pi /2)$ (a) Find the fluence rate. (b) Find the current density. (c) Use Legendre polynomial in $\omega$ ($\omega = cos\theta$), of order 0 through 4, to approximate the angular fluence rate. Graph the original angular distribution function and the series expansion. Compare the data set.

          3. A radiation field is described by an angular fluence rate given by
$\tilde{\phi}(\vec{r}, \vec{\Omega}) = f(\vec{r})(cos\theta)^{5/4}$ $(0 \le \theta \le \pi /2)$
$\tilde{\phi}(\vec{r}, \vec{\Omega}) = 0$ $(\theta > \pi /2)$
(a) Find the fluence rate.
(b) Find the current density.
(c) Use Legendre polynomial in $\omega$ ($\omega = cos\theta$), of order 0 through 4, to approximate the angular
fluence rate. Graph the original angular distribution function and the series expansion. Compare the
data set.

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3. A radiation field is described by an angular fluence rate given by
ϕ̃(r⃗, Ω⃗) = f(r⃗)(cosθ)^5/4 (0 ≤θ≤π /2)
ϕ̃(r⃗, Ω⃗) = 0 (θ > π /2)
(a) Find the fluence rate.
(b) Find the current density.
(c) Use Legendre polynomial in ω (ω = cosθ), of order 0 through 4, to approximate the angular
fluence rate. Graph the original angular distribution function and the series expansion. Compare the
data set.

Added by Marissa C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

09/04/2023

Step 1

Step 1: Understand the given angular fluence rate The angular fluence rate is given by: \[ \tilde{\phi}(\vec{r}, \Omega) = f(\vec{r})(\cos \theta)^{5/4} \quad (0 \leq \theta \leq \pi/2) \] \[ \tilde{\phi}(\vec{r}, \Omega) = 0 \quad (\theta > \pi/2) \] Show more…

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3. A radiation field is described by an angular fluence rate given by (r,2)=f(F)(cos0)s/4 (0<0<T/2) (r,S)=0 (0>t12) (a) Find the fluence rate. (b) Find the current density c Use Legendre polynomial in = cos,of order 0 through 4,to approximate the angular fluence rate. Graph the original angular distribution function and the series expansion. Compare the data set.

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