The impedance of an inductor zind is determined to be 147 ohms at 2000 hz and its dc resistance rl is 25 ohms. what would be the
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Observe that the given vector field is a gradient field:
Let , so that
Integrating the first equation with respect to , we get
Differentiating this with respect to gives
Now differentiating with respect to
gives
Putting everything together, we find a scalar potential function whose gradient is ,
It follows that the curl of is 0 (i.e. the zero vector).