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An independent voltage source in series with an impedance $\mathbf{Z}_{\mathrm{s}}=R_{\mathrm{s}}+j X_{\mathrm{s}}$ delivers a maximum average power to a load impedance $\mathbf{Z}_{\mathrm{L}}$ when

  1. $\mathbf{Z}_{\mathrm{L}}=R_{\mathrm{S}}+j X_s$
  2. $\mathbf{Z}_{\mathrm{L}}=R_{\mathrm{S}}$
  3. $\mathbf{Z}_{\mathrm{L}}=j X_s$
  4. $\mathbf{Z}_{\mathrm{L}}=R_{\mathrm{S}}-j X_s$
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