Observe the circuit:

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$\"\"$

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$\"\"$

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The input voltage $\"\"$ .

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The input sine voltage is $\"\"$ V.

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Compare the function with $\"\"$ .

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$\"\"$ , $\"\"$ and $\"\"$ are in series.

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Here Angular frequency $\"\"$ Hz.

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For series RLC circuit,

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Total impedance is

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$\"\"$

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Total impedance is $\"\"$

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(b)

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Find total current in the circuit.

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The input voltage $\"\"$ .

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Compare the function with $\"\"$ .

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Average voltage $\"\"$ .

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From thew ohms law: $\"\"$ .

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$\"\"$

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$\"\"$

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In poolar form, $\"\"$ .

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(c)

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Find the voltage through resistor

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$\"\"$

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From part(b), $\"\"$ and $\"\"$

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$\"\"$ \ \

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In polar form, $\"\"$ . \ \ (d)

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Voltage through Inductor

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$\"\"$

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$\"\"$

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In poolar form, $\"\"$ .

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Inductor voltage lags inductor current by $\"image\"$ .

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$\"\"$

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Voltage through Inductor $\"\"$ .

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(e)

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Voltage across capacitor.

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$\"\"$

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$\"\"$

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In poolar form, $\"\"$ .

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Capacitor voltage lags Capacitor current by $\"image\"$ .

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$\"\"$

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