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4. Let D* y?z³dx + 2xyz³ đy + 3xy²z² đz pC/m² in free space. a. Find the total electric flux passing through the surface x = 5, 0 < y<1,0< z<2 in a direction away from the origin.

4. Let D* y?z³dx + 2xyz³ đy + 3xy²z² đz pC/m² in free space. a. Find the total electric flux passing through the surface x = 5, 0 < y<1,0< z<2 in a direction away from the origin.

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Answer number 4. Please fix the answer in 4 decimal places.
1. If D= 4x°d, - 2zā, + 2yā, C/m², find the following: a. V• D b. the total charge lying within the region –1 < x, y,z < 1 2. Calculate the divergence of D = (=)[10xyzāx + 5x²zãy + (2z³ – 5x²y)åz] at P(-2,3,5). 3. Find the electric flux density at a point having a distance uniform line charge of 6 nC/m lying along the z axis in free space. (10 - m from a 4. Let D* the total electric flux passing through the surface x = 5, 0< ys 1,0< z3 2 in a direction away from the origin. 5. An electric field is given as Ē = –10e'(sin2zāx + xsin2zåy + 2xcos2zdz)V/m a. Find E at P(5,0,). y²z°dx + 2xyz3 ảy + 3xy²z? đz pC/m² in free space. a. Find b. How much work is done in moving a charge of 2nC an incremental distance of 1 mm from P in the direction of ảỵ? åy? đ,? đg + đy + ảạ? 6. Given the electric field E = (y + 1)đx + (x – 1)ả, + 2ã,, find the potential difference between the points а. (2, —2, —1) and (0,0,0) b. (3,2, -1) апd (-2, -3,4) 7. Five equal point charges, Q = 20nC, are located at x = 2,3, 4, 5, 6 m. Find the potential at the origin. %3D
Transcribed Image Text:1. If D= 4x°d, - 2zā, + 2yā, C/m², find the following: a. V• D b. the total charge lying within the region –1 < x, y,z < 1 2. Calculate the divergence of D = (=)[10xyzāx + 5x²zãy + (2z³ – 5x²y)åz] at P(-2,3,5). 3. Find the electric flux density at a point having a distance uniform line charge of 6 nC/m lying along the z axis in free space. (10 - m from a 4. Let D* the total electric flux passing through the surface x = 5, 0< ys 1,0< z3 2 in a direction away from the origin. 5. An electric field is given as Ē = –10e'(sin2zāx + xsin2zåy + 2xcos2zdz)V/m a. Find E at P(5,0,). y²z°dx + 2xyz3 ảy + 3xy²z? đz pC/m² in free space. a. Find b. How much work is done in moving a charge of 2nC an incremental distance of 1 mm from P in the direction of ảỵ? åy? đ,? đg + đy + ảạ? 6. Given the electric field E = (y + 1)đx + (x – 1)ả, + 2ã,, find the potential difference between the points а. (2, —2, —1) and (0,0,0) b. (3,2, -1) апd (-2, -3,4) 7. Five equal point charges, Q = 20nC, are located at x = 2,3, 4, 5, 6 m. Find the potential at the origin. %3D
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