Show that it is not possible to design the circuit shown in Figure DP 10-4 to produce

Chapter 10, Problem DP10-4

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QUESTION:

Show that it is not possible to design the circuit shown in Figure DP 10-4 to produce the specified output voltage \(v_{\mathrm{o}}(t)=2.5 \cos \left(40 t-14^{\circ}\right)\) when provided with the input voltage \(v_{\mathrm{i}}(t)=8 \cos (40 t) \mathrm{V}\).

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QUESTION:

Show that it is not possible to design the circuit shown in Figure DP 10-4 to produce the specified output voltage \(v_{\mathrm{o}}(t)=2.5 \cos \left(40 t-14^{\circ}\right)\) when provided with the input voltage \(v_{\mathrm{i}}(t)=8 \cos (40 t) \mathrm{V}\).

ANSWER:

Step 1 of 5

Considered voltages   and   can be expressed as phasors:

 rad/s

The equivalent circuit diagram is shown on Figure below.

                                         

                                         

 

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