Question

For a series LCR circuit with \[R=3\,\Omega\], \[L=25.48\,\mathrm{mH}\], \[C=796\,\mu\mathrm{F}\], and frequency \[50\,\mathrm{Hz}\], what is the inductive reactance?

Options

• \[X_L=5\,\Omega\]

• \[X_L=8\,\Omega\]

• \[X_L=4\,\Omega\]

• \[X_L=3\,\Omega\]

Answer 1

Inductive reactance is \[X_L=2\pi\nu L\]. Substituting \[\nu=50\,\mathrm{Hz}\] and \[L=25.48\,\mathrm{mH}\] gives approximately \[8\,\Omega\].