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electromagnetism
Posted Date: 30 Jan 2008 Resource Type: Articles/Knowledge Sharing Category: Conference and Symposium
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Posted By: piyush Member Level: Gold
Rating:  Points: 3
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1. Show that : (i) del (f + ?) = del (f) + del (?).
(ii) Curl of grad A is always zero.
(iii) Divergence of curl is always zero.
2. If f = exyz, Calculate the gradient of f at point (1,-1,1).
3. Find a unit normal to the surface z = x2 + y2 at the point (1,1,2).
4. If is the position vector of any point, calculate the gradient of 1/r.
5. A vector has a constant magnitude. Show that is perpendicular to .
6. Given = x2y + (x – y) , find (i) div of vector A (ii) curl at point (2,3,0).
7. A rigid body is rotating with a uniform angular velocity about an axis passing through it. Show that curl , where is linear velocity.
8. If a vector field is irrotational, show that is solenoidal, where .
9. Given a vector . Prove that , where V is volume enclosed by surface S.
10. In cylindrical coordinates a vector field is given by A = r sinf + r2 cosf af + 2re-5z az. Find div A at (1/2, p/2, 0).
11. three charges q1 = 2µC, q2 = -3µC, q3 = 5µC are located at points (5,0,0), (2,0,0) and (0,0,0) respectively. Calculate the electric force on q1.
12. A point charge q1 = 400 µC exerts a force of N on an unknown charge q2 in vacuum separated by a distance of 30m. Find the charge q2.
13. four charges q1 = +2 µC, q2 = +4 µC, q3 = -6 µC and q4 = +8 µC are located at the four corners of a square of side 10 m. Find (i) electric field at the centre of the square (b) force on a charge 10 µC placed at the centre.
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Responses
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| Author: Vidya 23 May 2008 | Member Level: Diamond Points : 2 | gud one
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