A radial electric field distribution in free space is given in spherical coordinates as:

= o 3 o ( ≤ ) = (2 3 − 3 )o 3o 2 ( ≤ ≤ ) = (2 3 − 3 )o 3o 2 ( ≥ )

Where, rhoo, a, and b are constants. (a) Determine the volume charge density in the entire region (0 ≤ r ≤[infinity]) by the appropriate use of ∇ .D = . (b) In terms of given parameters, find the total charge, Q, within a sphere of radius r where r > b.

If a particle moves along a path such that r : (3 sin t) m and ? : 2t rad, where t is in seconds. what is the particle's acceleration in m/s in 4 seconds? a)- 16.43 b)- 16.29 c)- 15.21 d)- 13.79

Afluid flows with a velocity field given by v=(x/t)i.. determine the local and convective accelerations when x=3 and t=1.

Consider a large isothermal enclosure that is maintained at a uniform temperature of 2000 k. calculate the emissive power of the radiation that emerges from a small aperture on the enclosure surface. what is the wavelength ? , below which 10% of the emission is concentrated? what is the wavelength ? 2 above which 10% of the emission is concentrated? determine the wavelength at which maximum spectral emissive power occurs. what is the irradiation incident on a small object placed inside the enclosure?