GATE EC 1999 Electromagnetics Solution Q 2

GATE EC 1999 Electromagnetics Solution Q 2

Identify which one of the following will NOT satisfy the wave equation.

(a) 50e^{j\left(\omega t-3z\right)}

(b) \sin\left[\omega\left(10z+5t\right)\right]

(c) \cos\left(y^2+5t\right)

(d) \sin\left(x\right)\cos\left(t\right)

Ans : c)

Explanation

For any equation to be wave equation, its phase must be linear proportional with distance. This is not observed in option c.

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