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Consider an impedance $\mathrm{Z = R + j X }$ marked with point $\mathrm{P}$ in an impedance Smith chart as shown in the figure. The movement from point $\mathrm{P}$ along a constant resistance circle in the clockwise direction by an angle $45^{\circ}$ is equivalent to

  1. adding an inductance in series with $\mathrm{Z}$
  2. adding a capacitance in series with $\mathrm{Z}$
  3. adding an inductance in shunt across $\mathrm{Z}$
  4. adding a capacitance in shunt across $\mathrm{Z}$
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