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What is the capacitive reactance of a \[15.0\,\mu\mathrm{F}\] capacitor connected to a \[50\,\mathrm{Hz}\] source?

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Question

What is the capacitive reactance of a \[15.0\,\mu\mathrm{F}\] capacitor connected to a \[50\,\mathrm{Hz}\] source?

Options

  • \[1.47\,\mathrm{A}\]

  • \[1.04\,\mathrm{A}\]

  • \[220\,\Omega\]

  • \[212\,\Omega\]

MCQ
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Solution

Use \[X_C=\frac{1}{2\pi\nu C}\]. Substituting \[\nu=50\,\mathrm{Hz}\] and \[C=15.0\times10^{-6}\,\mathrm{F}\] gives approximately \[212\,\Omega\].

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