1. |
Laplacian is a composite operator that includes
(i) gradient operation
(ii) divergence operation
(iii) curl operation
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Answer:
Option (a) |
2. |
The equation is said to be Laplace equation if the Laplacian of a scalar filed results into _____ .
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Answer:
Option (a) |
3. |
Poisson's and Laplace equations can be easily derived from ____________.
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Answer:
Option (b) |
4. |
Which of the following scalar fields satisfy Laplace's equation ?
(i)
(ii)
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Answer:
Option (b) |
5. |
Potential filed in a free space is defined as , then volume charge density at point (1,1,1) will be __________ .
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Answer:
Option (d) |
6. |
Potential field in a free space is defined as , volume charge density at point will be __________.
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Answer:
Option (b) |
7. |
If V= 2 V at x = 1 mm and V = 0 at x = 0, find x-component of at x = 1 mm in a free space with volume charge density .
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Answer:
Option (d) |
8. |
In spherical coordinates, V = 0 for r = 0.1 m and V = 100 V for r = 2 m. Assuming free space between these concentric spherical shells, find the value of at r = 2 m.
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Answer:
Option (c) |
9. |
As per Uniqueness theorem which of the following is true.
(i) Poisson's equation that satisfies the given boundary condition gives a unique solution
(ii) There is a unique electric field derived from a potential function satisfying Poisson's equation under the boundary conditions.
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Answer:
Option (c) |
10. |
Suppose the potential function is a step function. The equation that gets satisfied is _________ .
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Answer:
Option (a) |