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3. Given a vector, A=5xã, + yā, +3zā,, find the curl of A, that is, VXÃ. 4. If the scalar potential is given by V=x²-y-zvolts, find the Laplacian of V, that is, V²V.

3. Given a vector, A=5xã, + yā, +3zā,, find the curl of A, that is, VXÃ. 4. If the scalar potential is given by V=x²-y-zvolts, find the Laplacian of V, that is, V²V.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Given a vector, A=5x㸠+ yā, +3za, find the curl of A, that is, VXÃ. 4. If the scalar potential is given by V=x²-y-zvolts, find the Laplacian of V, that is, V²V.
Transcribed Image Text:3. Given a vector, A=5x㸠+ yā, +3za, find the curl of A, that is, VXÃ. 4. If the scalar potential is given by V=x²-y-zvolts, find the Laplacian of V, that is, V²V.
Expert Solution
Step 1 Given

3 We have to find the curl of A→ i.e. ∇×A→ where the given vector is A→=5xax→+yay→+3zaz→.

4 We have to find the Laplacian of V i.e. ∇2V where the scalar potential is given by V=x2-y3-z.

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