$\"\"$

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$\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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Mutual inductance is $\"\"$ .

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Find the mutual inductance of $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$ is in series with $\"\"$

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Draw equivalent circuit for coil 1, $\"\"$ :

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$\"\"$ .

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Equivalent impedance for coil 1 is

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Capacitive impedance for $\"\"$ is $\"\"$ .

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Equivalent impedance for coil 1 is

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$\"\"$

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Equivalent impedance for coil 1 is $\"\"$

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.

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Draw equivalent circuit for coil 2, $\"\"$ :

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$\"\"$

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Capacitive impedance for $\"\"$ is $\"\"$ .

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$\"\"$ is in series with $\"\"$ and $\"\"$

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Equivalent impedance for coil 2 is

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$\"\"$

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Equivalent impedance for coil 2 is $\"\"$ .

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Draw the equivalent with coil

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$\"\"$ is in parallel with $\"\"$ .

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

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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

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The above result is in series with $\"\"$ and $\"\"$

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Total impedance of the circuit is

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$\"\"$

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Total impedance of the circuit is $\"\"$

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$\"\"$