Electromagnetic Field Theory - GATE practice papers - Electronics & Communication for Q. 533

Q.  Which  among the below mentioned operators is supposed to be zero so as to justify the scalar field to be harmonic? (Marks : 01)
- Published on 19 Oct 15

a. Gradient
b. Curl
c. Laplacian
d. Divergence

ANSWER: Laplacian
 
A function is said to be harmonic only when its laplacian operator value ▼2f is zero. Similarly, a scalar field is also said to be harmonic only when its laplacian operator becomes zero despite the other operators.

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