The AC voltage applied to the circuit has a peak value of \(200~\text V\) and an angular frequency, \(\omega=300~\text{s}^{-1}.\) The power factor of this circuit equals:
1. \(\dfrac{3}{5}\) 2. \(\dfrac{4}{5}\)
3. \(\dfrac{3}{4}\) 4. \(\dfrac{4}{3}\)
Subtopic:  Power factor |
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The charge flowing through a resistance \(R\) is given by
\(q = A\sin\omega t+B\cos\omega t\)
The heat produced in the resistance over a very long time \(\Delta t\) (much greater than \(T = \dfrac{2\pi}{\omega}\)) is:

1. \(\omega^{2}\left(A^{2}+B^{2}\right) R \Delta t\)
2. \(\omega^{2}\left(A^{2}-B^{2}\right) R \Delta t\)
3. \(\dfrac{1}{2} \omega^{2}\left(A^{2}+B^{2}\right) R \Delta t\)
4. \(\dfrac{1}{2} \omega^{2}\left(A^{2}-B^{2}\right) R \Delta t\)
Subtopic:  Power factor |
 66%
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