Topic: Engineering Mathematics
If phi(x,y,z) is a scalar function and if del² f = 0, then f is
- A. Irrational
- B. Harmonic
- C. Irrotational
- D. Solenoidal
Answer: B. Harmonic
Explanation: By definition in vector calculus, a scalar function that satisfies Laplace's equation (del² f = 0) is called a Harmonic function. In contrast, a field is Solenoidal if its divergence is zero, and it is Irrotational if its curl is zero.