Question:
Electric potential at any point is V = -5x + 3y + √(15)z. The magnitude of the electric field is:
Electric potential at any point is V = -5x + 3y + √(15)z. The magnitude of the electric field is:
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Electric field is the negative gradient of potential.
Updated On: Mar 20, 2026
- \(3\sqrt{2}\)
- \(4\sqrt{2}\)
- \(5\sqrt{2}\)
- 7
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The Correct Option is D
Solution and Explanation
Step 1: Electric field: vecE = -∇ V
Step 2: vecE = 5hati - 3hatj - √(15)hatk
Step 3: Magnitude: |vecE| = √(25 + 9 + 15) = √(49) = 7
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