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Derive Rationalized Admittance Expressions

Derive rationalized expressions for the admittances of the two parallel arms. Hence derive an expression for the total circuit admittance.


Solution Preview

If w is the angular frequency (equal to 2*pi*f, where f is the frequency in Hz),
j is the complex operator, equal to sqrt(-1):

convert all impedances to admittances:

Admittance of L = 1/(jwL)

Solution Summary

This solution converts all impedances to admittances and shows full calculations for deriving the expression.