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Complex Impedance and Phase Angle

Refer to diagram in attached file.

1. Derive an expression for the complex impedance between terminals A&B referring to the reactances as Xc & XL. Express the answer in the form of (real part + j * imaginary part)

2. Calculate the phase angle of the current I relative to the voltage Vin for a source frequency of 3kHz(must be done using the simplest form possiable for calculation).

3. Describe two ways in which the circuit could be changed to make it resonate at a frequency of 3kHz. State exactly how you would make any necessary calculations (do not attempt to do these calculations)
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