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5. The electric potential is V volts at any point (x, y) in the æry plane and V = e-2" cos(2y). Distance is measured in feet. (a) Find the rate of change of the potential at the point (0, ") in the direction of the unit vector cos T î + sin 7 ĵ. (b) Find the direction and magnitude of the greatest rate of change of V at (0, r).

5. The electric potential is V volts at any point (x, y) in the æry plane and V = e-2" cos(2y). Distance is measured in feet. (a) Find the rate of change of the potential at the point (0, ") in the direction of the unit vector cos T î + sin 7 ĵ. (b) Find the direction and magnitude of the greatest rate of change of V at (0, r).

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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5. The electric potential is V volts at any point (x, y) in the xy = e=2# cos(2y). Distance is measured in feet. plane and V (a) Find the rate of change of the potential at the point (0, x) in the direction of the unit vector cos T î + sin r ĵ. (6) Find the direction and magnitude of the greatest rate of change of V at (0. Įr).
Transcribed Image Text:5. The electric potential is V volts at any point (x, y) in the xy = e=2# cos(2y). Distance is measured in feet. plane and V (a) Find the rate of change of the potential at the point (0, x) in the direction of the unit vector cos T î + sin r ĵ. (6) Find the direction and magnitude of the greatest rate of change of V at (0. Įr).
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