Exam 19: Circuit Theorems in Ac Analysis

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   - find the Thevenin impedance Zth). - find the Thevenin impedance Zth).

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For the circuit with output impedance of 100 Ω- j20 Ω, how much power is delivered to a matched load if the voltage VS = 25 V rms?

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A

If the output impedance of a certain circuit is 100 Ω - j20 Ω, what value of load impedance will result in maximum power transfer to the load?

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Thevenin's equivalent circuit is the transformation of Norton's equivalent circuit.

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The Norton's equivalent circuit is characterized by the:

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If two equal currents are in opposing directions at any instant in time, in a given branch, what is the net current at that instant?

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Maximum power is transferred to a load when the load impedance is a complex conjugate of the output impedance of the driving circuit.

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The Norton current is found by calculating the between the marked terminals.

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Norton's theorem provides a method for the reduction of any ac circuit to an equivalent form consisting of an equivalent current source in parallel with an equivalent impedance.

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Thevenin's theorem provides a method for the reduction of any ac circuit to an equivalent voltage source in parallel with an equivalent impedance.

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Why is the superposition theorem useful in the analysis of multiple-source circuits?

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   -Given Figure 19-3, find the Thevenin voltage Vth) for the circuit external to RL. -Given Figure 19-3, find the Thevenin voltage Vth) for the circuit external to RL.

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  Figure 19-5 -See Figure 19-5. Using the superposition theorem, what is the portion of the current through the capacitor caused by the 5 V 230° voltage source? Figure 19-5 -See Figure 19-5. Using the superposition theorem, what is the portion of the current through the capacitor caused by the 5 V 230° voltage source?

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   -Given the circuit in Figure , what load value should be used to replace R2 to obtain the maximum power transfer to the load? Determine the type of load, and express the value in rectangular form. -Given the circuit in Figure , what load value should be used to replace R2 to obtain the maximum power transfer to the load? Determine the type of load, and express the value in rectangular form.

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The superposition theorem is useful for the analysis only in ac circuits.

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Maximum power transfer occurs when the ac impedances are:

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What is the complex conjugate of 75 Ω + j45 Ω?

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An equivalent voltage source in series with an equivalent impedance means you should solve the problem using:

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The superposition theorem is useful for the analysis of multiple source circuits.

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  Figure 19-1 -Given the circuit in Figure 19-1, find the total circuit current. Figure 19-1 -Given the circuit in Figure 19-1, find the total circuit current.

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