Assignment 2

(1)Â Â Define : (a) Potential Difference (b) Potential

(2)Â Â What is Potential Gradient? With help of gradient prove that .

(3)Â Â Given the flux density, Evaluate both sides of the divergence theorem for the region defined by 1 < r < 2, 0 < Î¸ < Ï€/2, 0 < Â < Ï€/2.

(4)Â Â In the space, a line charge Â lies along the entire Z-axis, while point charge of Â 100 nC each are located at (1,0,0) and (0,1,0). Find the potential difference Â given P (2,1,0) and Q (3,2,5). (ANS : =1516.856 V )

(5)Â Â What is an Electric Dipole? Derive the expression for the Potential and Electric Field Intensity due to a dipole at distances very large from the origin compared to the spacing d between the charges +Q and â€“ Q .

(6)Â Â Given the Potential field in cylindrical coordinates V =1000+50 Volts. Calculate the value at P(0.4,30Â°,1) in air of (i) E (ii) D (iii) Â (iv) Energy density.

(7)Â Â **E **and **F **are vector fields given by Â and . Determine,

(a) | **E **| a t (l, 2, 3).

(b) The component of **E **along **F **at (1, 2, 3).

(c) A vector perpendicular to both **E **and **F **at (0, 1, – 3) whose magnitude is Unity.

(8)Â Â ) Explain Energy density in the electrostatic field.

(9)Â Â A potential field is expressed as . Given a point Â in a free space, find at P (i) V (2) E (3) Â (4) (5) .

(10) A dipole at the origin in free space has .

(a) give V at P(x, y, z) in Cartesian coordinates.

(b) Give E at P(x, y, z) in Cartesian coordinates.

### Like this:

Like Loading...

*Related*

Hello there! I could have sworn I’ve been to this weblog before but right after checking by means of some with the post I realized it is new to me. Anyhow, I’m undoubtedly glad I located it and I’ll be bookmarking and checking back often! 883586