Question

In: Physics

Given: D= 4xy ax + 2(x2 + y2) ay + 4yzaz nC/m2 bounded by the planes...

Given:

D= 4xy a_x + 2(x² + y²) a_y + 4yza_z nC/m² bounded by the planes x=0 and 2, y= 0 and 3, z= 0 and 5.

Required:

i) Total flux crossing the surfaces of the rectangular paralelipiped.

ii) Total charge within the rectangular paralelipiped

Solutions

Expert Solution

Solution:

Given

let us compare this with the following equation

Then, we have

This parallelepiped is enclosed by the following planes at

(i)

Before calculating the flux, we will see which planes will contribute the total flux

This means, out of six planes only four planes will contribute to the total flux

Therefore the total flux is

(ii)

Total charge inclosed in the parallelopiped is

genius_generous answered 1 year ago

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