(1/jwC)/((1/jwC)+(Y)+(R/(1+jwRX)))

asked by guest
on Oct 07, 2024 at 7:30 am



You asked:

Evaluate the expression: \(\frac{\frac{1}{j w C}}{\frac{1}{j w C} + Y + \frac{R}{1 + j w R X}}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{\frac{1}{j w C}}{\frac{1}{j w C} + Y + \frac{R}{1 + j w R X}} = \frac{1}{C j w \left(\frac{R}{R X j w + 1} + Y + \frac{1}{C j w}\right)} \)

Expanded

\[\frac{\frac{1}{j w C}}{\frac{1}{j w C} + Y + \frac{R}{1 + j w R X}} = \frac{1}{\frac{C R j w}{R X j w + 1} + C Y j w + 1}\]

Factored

\[\frac{\frac{1}{j w C}}{\frac{1}{j w C} + Y + \frac{R}{1 + j w R X}} = \frac{R X j w + 1}{j^{2} w^{2} C R X Y + C R j w + C Y j w + R X j w + 1}\]

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