- 1(current)
Q. No.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: Â Power factor |
 80%
Level 1: 80%+
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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 \(T = 2\pi/ \omega\)) 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: Â Power factor |
 57%
Level 3: 35%-60%
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- 1(current)
Q. No.
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