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Q. No.A resistor of \(40~\Omega\) is connected to the secondary of a step-down transformer, with an input voltage of \(200~\text V\) and an output of \(20~\text V\) across the secondary.
The resistance as seen in the primary circuit is: (ignoring power losses)
1. \(40~\Omega\)
2. \(4~\Omega\)
3. \(0.4~\Omega\)
4. \(4~\text k\Omega\)
Subtopic: Â Transformer |
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In an \(\text{AC}\) circuit, the power dissipated in a resistance is found to \(P_1\) when a source voltage of \(V_1\) is connected across it. If the same resistance is connected in series with a capacitance and the same source is connected across the combination, the power in the resistance is found to be \(P_2=\dfrac{P_1}{2}.\) The phase difference between the voltage and the current is:
1. \(30^{\circ}\)
2. \(60^{\circ}\)
3. \(45^{\circ}\)
4. \(90^{\circ}\)
1. \(30^{\circ}\)
2. \(60^{\circ}\)
3. \(45^{\circ}\)
4. \(90^{\circ}\)
Subtopic: Â Different Types of AC Circuits |
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An alternating \(\text{emf}= V_0\sin \omega t\) is applied between the two ends \(A\) & \(B\) of the circuit shown below. The current through \(C\) has the same RMS value as that through \(R.\) The RMS value of the current flowing out at \(B\) is:
1. \(\dfrac{V_0}{ \sqrt 2 R}\)
2. \(\dfrac{V_0}{ R}\)
3. \(\dfrac{ \sqrt 2 V_0}{R}\)
4. zero
1. \(\dfrac{V_0}{ \sqrt 2 R}\)
2. \(\dfrac{V_0}{ R}\)
3. \(\dfrac{ \sqrt 2 V_0}{R}\)
4. zero
Subtopic: Â Different Types of AC Circuits |
From NCERT
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An alternating current generator has an internal resistance \(R_{g}\) and an internal reactance \(X_{g}\). It is used to supply power to a passive load consisting of a resistance \(R_{g}\) and a reactance \(X_{L}\). For maximum power to be delivered from the generator to the load, the value of \(X_{L}\) is equal to:
1. zero
2. \(X_g\)
3. \(-X_g\)
4. \(R_g\)
Subtopic: Â Different Types of AC Circuits |
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When an AC supply of \(100\) V (rms), \(50\) Hz is applied across an inductor \(L,\) a current of \(20\) A (rms) flows; and if the same voltage is applied across a capacitor \(C,\) the same current of \(20\) A (rms) flows. A circuit is now made by connecting the inductor \(L\) and the capacitor \(C.\) The natural frequency of this \(L\)-\(C\) circuit is
1. \(50\) Hz
2. \(100\) Hz
3. \(200\) Hz
4. \(50\sqrt{2}\) Hz
1. \(50\) Hz
2. \(100\) Hz
3. \(200\) Hz
4. \(50\sqrt{2}\) Hz
From NCERT
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
| Assertion (A): | On the increasing frequency of a.c. through a conductor resistance of the circuit may increase. |
| Reason (R): | Resistance of a conductor is directly proportional to the frequency of the a.c. input. |
In the light of the above statements choose the correct answer from the options given below:
| 1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
| 3. | (A) is true but (R) is false. |
| 4. | Both (A) and (R) are false. |
Subtopic: Â Different Types of AC Circuits |
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An AC source given by \(V=V_m\sin(\omega t)\) is connected to a pure inductor \(L\) in a circuit and \(I_m\) is the peak value of the AC current. The instantaneous power supplied to the inductor is:
| 1. | \(\dfrac{V_mI_m}{2}\mathrm{sin}(2\omega t)\) | 2. | \(-\dfrac{V_mI_m}{2}\mathrm{sin}(2\omega t)\) |
| 3. | \({V_mI_m}\mathrm{sin}^{2}(\omega t)\) | 4. | \(-{V_mI_m}\mathrm{sin}^{2}(\omega t)\) |
Subtopic: Â Power factor |
From NCERT
NEET - 2022
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An \(RC\) circuit is connected to a \(10\) V AC source and it is observed to supply a \(200\) mA current at a frequency of \(100\) kHz. The same resistance is now paired with an inductor \((L)\) in series and the same source supplies \(200\) mA current at a frequency of \(1\) kHz at the same operating voltage. If the circuit were made with the given \(L\text-C\text-R\) in series, the current will be a maximum when the frequency is \(f_o\). Then,
| 1. | \(f_o = \dfrac{10^3 + 10^5}{2}\) Hz |
| 2. | \(f_o > \dfrac{10^3 + 10^5}{2}\) Hz |
| 3. | \(f_o < \dfrac{10^3 + 10^5}{2}\) Hz |
| 4. | \(f_o = {10^3 + 10^5}\) Hz |
Subtopic: Â Different Types of AC Circuits |
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The line that draws the power supply to your house from the street has:
Choose the correct options:
1. (b), (c)
2. (a), (d)
3. (b), (d)
4. (a), (c)
| (a) | zero average current |
| (b) | \(220~\text V\) average voltage |
| (c) | voltage and current out of phase by \(90^\circ\) |
| (d) | voltage and current possibly differing in phase \(\phi\) such that \(|\phi|<\dfrac \pi 2.\) |
Choose the correct options:
1. (b), (c)
2. (a), (d)
3. (b), (d)
4. (a), (c)
Subtopic: Â AC vs DC |
From NCERT
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The RMS voltage across the inductor is twice that across the capacitor, while the applied RMS voltage across the entire combination (i.e. \(V_{AX}\)) is \(V_r\). The RMS voltage across the capacitor is:
| 1. | \(\dfrac{V_r}{3}\) | 2. | \(\dfrac{2V_r}{3}\) |
| 3. | \(\dfrac{V_r}{2}\) | 4. | \(V_r\) |
Subtopic: Â Different Types of AC Circuits |
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