Hence, the rms value of the current in the circuit is 15.92 A.
<p><strong>7.3 </strong>Inductance of the Inductor, L = 44 mH = 44 <span title="Click to copy mathml"><math><mo>×</mo><msup><mrow><mrow><mn>10</mn></mrow></mrow><mrow><mrow><mo>-</mo><mn>3</mn></mrow></mrow></msup></math></span> H</p><p>Supply voltage, V = 220 V</p><p>Supply frequency, <span title="Click to copy mathml"><math><mi>ν</mi></math></span> = 50 Hz</p><p>Angular frequency, <span title="Click to copy mathml"><math><mi>ω</mi></math></span> = 2 <span title="Click to copy mathml"><math><mi>π</mi><mi>ν</mi></math></span></p><p>Inductive reactance, <span title="Click to copy mathml"><math><msub><mrow><mrow><mi>X</mi></mrow></mrow><mrow><mrow><mi>L</mi></mrow></mrow></msub></math></span> = <span title="Click to copy mathml"><math><mi>ω</mi><mi>L</mi></math></span> = 2 <span title="Click to copy mathml"><math><mi>π</mi><mi>ν</mi><mi>L</mi></math></span></p><p>rms value of current is given as</p><p>I = <span title="Click to copy mathml"><math><mfrac><mrow><mrow><mi>V</mi></mrow></mrow><mrow><mrow><msub><mrow><mrow><mi>X</mi></mrow></mrow><mrow><mrow><mi>L</mi></mrow></mrow></msub></mrow></mrow></mfrac></math></span> = <span title="Click to copy mathml"><math><mfrac><mrow><mrow><mn>220</mn></mrow></mrow><mrow><mrow><mn>2</mn><mi>π</mi><mo>×</mo><mn>50</mn><mo>×</mo><mn>44</mn><mi mathvariant="normal"></mi><mo>×</mo><msup><mrow><mrow><mn>10</mn></mrow></mrow><mrow><mrow><mo>-</mo><mn>3</mn></mrow></mrow></msup></mrow></mrow></mfrac></math></span> = 15.92 A</p><p>Hence, the rms value of the current in the circuit is 15.92 A.</p>
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