rms value of current is given by I = = 110 60 = 2.49 A
Hence, the rms value of current is 2.49 A.
<p><strong>7.4 </strong>Capacitance of the capacitor, C = 60 <span title="Click to copy mathml"><math><mi>μ</mi><mi>F</mi></math></span> = 60 <span title="Click to copy mathml"><math><mo>×</mo><mi></mi><msup><mrow><mrow><mn>10</mn></mrow></mrow><mrow><mrow><mo>-</mo><mn>6</mn></mrow></mrow></msup></math></span> F</p><p>Supply voltage, V = 110 V</p><p>Supply frequency, <span title="Click to copy mathml"><math><mi>ν</mi></math></span> = 60 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>Capacitive reactance, <span title="Click to copy mathml"><math><msub><mrow><mrow><mi>X</mi></mrow></mrow><mrow><mrow><mi>c</mi></mrow></mrow></msub></math></span> = <span title="Click to copy mathml"><math><mfrac><mrow><mrow><mn>1</mn></mrow></mrow><mrow><mrow><mi>ω</mi><mi>C</mi></mrow></mrow></mfrac></math></span> = <span title="Click to copy mathml"><math><mfrac><mrow><mrow><mn>1</mn></mrow></mrow><mrow><mrow><mn>2</mn><mi>π</mi><mi>ν</mi><mi>C</mi></mrow></mrow></mfrac></math></span></p><p>rms value of current is given by 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>c</mi></mrow></mrow></msub></mrow></mrow></mfrac></math></span> = 110 <span title="Click to copy mathml"><math><mo>×</mo><mn>2</mn><mo>×</mo><mi>π</mi><mo>×</mo><mn>60</mn><mo>×</mo></math></span> 60 <span title="Click to copy mathml"><math><mo>×</mo><mi></mi><msup><mrow><mrow><mn>10</mn></mrow></mrow><mrow><mrow><mo>-</mo><mn>6</mn></mrow></mrow></msup></math></span> = 2.49 A</p><p>Hence, the rms value of current is 2.49 A.</p>
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