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Circuit Analysis

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Please refer to the attachment for the mentioned figures.

FIGURE 6(a) shows a particular type of transformer, called an autotransformer. The autotransformer has just one winding that has three electrical connection points called taps. One tap forms a common connection that is connected to both the source and the load. In an autotransformer a portion of the same winding effectively acts as part of both the primary and secondary winding.

FIGURE 6(b) shows the autotransformer represented as two separate inductors, L1 and L2, magnetically coupled with a coupling coefficient k.

Apply Kirchhoff's voltage law to the input and output circuits (i.e. to loops ABC and DBC of FIGURE 6(b)) to obtain equations for V1 and V2.

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The expert applies Kirchhoff's voltage law to the input and output circuits.

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