Solution Found!
A circuit is shown in Figure P 11.5-7 with an unknown impedance Z. However, it is known
Chapter 11, Problem P11.5-7(choose chapter or problem)
A circuit is shown in Figure P 11.5-7 with an unknown impedance \(\mathbf{Z}\). However, it is known that \(v(t)=100 \cos\) \(\left(100 t+20^{\circ}\right)\) V and \(i(t)=25 \cos \left(100 t-10^{\circ}\right)\) A.
(a) Find \(\mathbf{Z}\).
(b) Find the power absorbed by the impedance.
(c) Determine the type of element and its magnitude that should be placed across the impedance \(\mathbf{Z}\) (connected to terminals a-b) so that the voltage v(t) and the current entering the parallel elements are in phase.
Questions & Answers
QUESTION:
A circuit is shown in Figure P 11.5-7 with an unknown impedance \(\mathbf{Z}\). However, it is known that \(v(t)=100 \cos\) \(\left(100 t+20^{\circ}\right)\) V and \(i(t)=25 \cos \left(100 t-10^{\circ}\right)\) A.
(a) Find \(\mathbf{Z}\).
(b) Find the power absorbed by the impedance.
(c) Determine the type of element and its magnitude that should be placed across the impedance \(\mathbf{Z}\) (connected to terminals a-b) so that the voltage v(t) and the current entering the parallel elements are in phase.
ANSWER:
Step 1 of 5
Converting the voltage and the current to the frequency domain:
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