Q. No.Two circuits: \((1)\) an \(L\text-R\) circuit and \((2)\) an \(R\text-C\) circuit are driven by the same alternating current. The phase difference between the current and the voltage is twice in the \(1\)st case with respect to the \(2\)nd case and both the angles add up to \(90^\circ.\) The resistances are equal in both cases. The ratio of their reactances (first: second) is:
1.
\(\sqrt3:1\)
2.
\(1:\sqrt3\)
3.
\(3:1\)
4.
\(2:1\)
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| 1. | depends on the ratio \(\dfrac{\omega L}{R}\) |
| 2. | depends on the quantity \(\sqrt{(\omega L)^2+R^2}\) |
| 3. | depends on \(L\) and \(R,\) but not on \(\omega\) |
| 4. | is independent of \(L,R,\omega\) |
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| 1. | the impedance in the circuit is \(100~\Omega.\) |
| 2. | the resistance in the circuit is \(200~\Omega.\) |
| 3. | the power dissipated is \(484\) W. |
| 4. | all the above are true. |
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| 1. | \(\dfrac{1}{10}\) H | 2. | \(\dfrac{1}{100}\) H |
| 3. | \(\dfrac{1}{1000}\) H | 4. | \(\dfrac{1}{10^4}\) H |
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| 1. | \(2\) A | 2. | \(2\sqrt2\) A |
| 3. | \(\sqrt2\) A | 4. | zero |
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| 1. | \(I_0\) | 2. | \(\dfrac{I_0}{\sqrt2}\) |
| 3. | \(\sqrt2I_0\) | 4. | zero |
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1. \(30^{\circ}\)
2. \(60^{\circ}\)
3. \(45^{\circ}\)
4. \(90^{\circ}\)
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| (A) |  |
| (B) |  |
| (C) |  |
2. A, B
3. A, B, C
4. None of the above
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Then:
| 1. | \(\dfrac{L}{C}=R^2 \) | 2. | \(\dfrac{L}{C}=2R^2\) |
| 3. | \(\dfrac{L}{C}=3R^2\) | 4. | \(\dfrac{L}{C}=\dfrac13R^2\) |
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| 1. | \(R_L = 100\sqrt 2~\Omega\) | 2. | \(R_L = \dfrac{100}{\sqrt 2}~\Omega \) |
| 3. | \(R_L = 100~\Omega\) | 4. | \(R_L = 200~\Omega\) |
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