$\"\"$

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a)

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Observe the circuit:

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The input current is $\"image\"$

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Compare the function with $\"image\"$ .

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Here $\"image\"$ .

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Find the total impedance.

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$\"image\"$ and $\"image\"$ are in parallel.

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$\"image\"$

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$\"image\"$

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$\"image\"$

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$\"\"$ is in series with $\"image\"$ .

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$\"image\"$

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$\"image\"$ .

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$\"image\"$ can be written in polar form as $\"image\"$ .

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b)

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The input current is $\"image\"$

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Compare the function with $\"image\"$ .

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$\"image\"$ in polar form can be written as $\"image\"$ .

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$\"image\"$

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$\"image\"$

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The input current can be written as $\"image\"$

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Find the voltage across the resistor.

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$\"image\"$

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$\"image\"$

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Voltage across the resistor is $\"image\"$

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(c)

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From part(b): The input current can be written as $\"\"$ .

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$\"\"$ in complex form can be written as $\"\"$

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Redraw the circuit indicating the loop currents.

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$\"\"$

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Observe the circuit:

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$\"\"$

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Apply KVL at loop 1:

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$\"\"$

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$\"\"$

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Find the voltage drop across the inductor.

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$\"\"$

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$\"\"$

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$\"\"$

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