31. Alternating Current

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The current in an AC circuit takes 0.02 s to change direction. What is the angular frequency of the AC source?

An AC source produces an alternating current in a circuit with the function ?(?) = (1.5 ?) cos[(250 s−1 )?]. What is the frequency of the source? What is the maximum current in the circuit?

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An AC emf source is given by<math display='inline'><mrow><mi>&#x03B5;</mi><mo>=</mo><mo stretchy='false'>(</mo><mn>170</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">V</mi><mo stretchy='false'>)</mo><mo rspace="thickmathspace">&#x2062;</mo><mi>cos</mi><mo>&#x007B;</mo><mn>2</mn><mi>&#x03C0;</mi><mo stretchy='false'>(</mo><mn>60</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="italic" class="MathML-Unit">Hz</mi><mo stretchy='false'>)</mo><mi mathvariant="italic" class="MathML-Unit">t</mi><mo>&#x007D;</mo></mrow></math>. What is the instantaneous emf of this source at <math display='inline'><mrow><mi>t</mi><mo>=</mo><mn>97</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">ms</mi></mrow></math>?

What is Alternating Current (AC)? -  Basic AC Theory - AC vs. DC

Alternating Current

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An AC emf source is given by <math display=“inline”><mrow><mi>&#x2130;</mi><mo>=</mo><mrow><mo>(</mo><mrow><mn>170</mn><mtext>&#x00A0;</mtext><mi mathvariant="normal">V</mi></mrow><mo>)</mo></mrow><mi>cos</mi><mrow><mo>(</mo><mrow><mn>2</mn><mi>&#x03C0;</mi><mrow><mo>(</mo><mrow><mrow><mn>60</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">Hz</mi></mrow></mrow><mo>)</mo></mrow><mi>t</mi></mrow><mo>)</mo></mrow></mrow></math>. What is the instantaneous emf of this source at <math display=“inline”><mrow><mi>t</mi><mo>=</mo><mn>97</mn><mtext>&#x200B;</mtext><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">ms</mi></mrow></math>
?

If <math display=“inline”><mrow><msub><mi>V</mi><mrow><mtext>rms</mtext></mrow></msub><mo>=</mo><mn>120</mn><mtext>&#x00A0;</mtext><mi mathvariant="normal">V</mi></mrow></math> for a certain 60 Hz outlet, what is the peak voltage across the outlet?

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