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Determine the impedance of Coil 1.

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Step 1: Determine the impedance of Coil 1.
The supply voltage is V=200 VV = 200 \text{ V} and the frequency is f=50 Hzf = 50 \text{ Hz}.
For Coil 1:
Current I1=15 AI_1 = 15 \text{ A}
Power dissipated P1=2800 WP_1 = 2800 \text{ W}

The power factor for Coil 1 is given by P1=VI1cos⁡ϕ1P_1 = V I_1 \cos \phi_1.

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