Alternating Current

1. A.
   Production of ac is economical.
2. B.
   ac can be easily and efficiently converted from one voltage to the other.
3. C.
   ac can be transmitted economically over long distances.
4. D.
   ac is less dangerous.

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1. A.
   10 V
2. B.
   $5\sqrt{2}$ V
3. C.
   $\frac{5}{\sqrt{2}}$ V
4. D.
   $10\sqrt{2}$ V

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1. A.
   14 and 7
2. B.
   10 and 14
3. C.
   0 and 10
4. D.
   10 and 0

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1. A.
   $\frac{1}{2}$
2. B.
   2
3. C.
   $\sqrt{3}$
4. D.
   $\frac{1}{\sqrt{3}}$

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1. A.
   0.30
2. B.
   0.45
3. C.
   0.50
4. D.
   0.60

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1. A.
   6 V
2. B.
   8 V
3. C.
   10 V
4. D.
   16 V

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1. A.
   $\dfrac{V_0}{2}, \dfrac{V_0}{\sqrt{2}}$
2. B.
   $\dfrac{V_0}{\pi}, \dfrac{V_0}{2}$
3. C.
   $\dfrac{V_0}{\sqrt{2}}, 0$
4. D.
   $V_0, \dfrac{V_0}{\sqrt{2}}$

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1. A.
   4X
2. B.
   2X
3. C.
   $\dfrac{X}{2}$
4. D.
   $\dfrac{X}{4}$

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1. A.
2. B.
3. C.
4. D.

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1. A.
   $\left(\dfrac{1}{200}\right)$ s
2. B.
   $\left(\dfrac{1}{150}\right)$ s
3. C.
   $\left(\dfrac{1}{100}\right)$ s
4. D.
   $\left(\dfrac{1}{50}\right)$ s

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1. A.
   4.0 A
2. B.
   3.8 A
3. C.
   0.97 A
4. D.
   0.10 A

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1. A.
   inductive only
2. B.
   capacitive only
3. C.
   capacitive and inductive respectively
4. D.
   inductive and capacitive respectively

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1. A.
   $10\sqrt{2}$ A
2. B.
   $\dfrac{10}{\sqrt{2}}$ A
3. C.
   $\dfrac{10}{\pi}$ A
4. D.
   $\dfrac{10}{\sqrt{2}\,\pi}$ A

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1. A.
2. B.
3. C.
4. D.

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1. A.
   high ac voltage and large ac current to low ac voltage and small ac current
2. B.
   high ac voltage and small ac current to low ac voltage and small ac current
3. C.
   low ac voltage and large ac current to high ac voltage and small ac current
4. D.
   low ac voltage and small ac current to high ac voltage and large ac current

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1. A.
   Zero
2. B.
   $i_0 v_0 \cos \phi$
3. C.
   $\frac{i_0 v_0}{2}$
4. D.
   $\frac{i_0 v_0}{2} \cos \phi$

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1. A.
   P and Q
2. B.
   Q and S
3. C.
   P and R
4. D.
   P and S

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1. A.
   30
2. B.
   450
3. C.
   4500
4. D.
   6750

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1. A.
   10 V
2. B.
   12 V
3. C.
   14 V
4. D.
   16 V

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1. A.
   Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
2. B.
   Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
3. C.
   Assertion (A) is true, but Reason (R) is false.
4. D.
   Both Assertion (A) and Reason (R) are false.

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1. A.
   If both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
2. B.
   If both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
3. C.
   If Assertion (A) is true but Reason (R) is false.
4. D.
   If both Assertion (A) and Reason (R) are false.

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1. A.
   leads the voltage by $\left(\frac{1}{4}\right)$ cycle.
2. B.
   lags the voltage by $\left(\frac{1}{4}\right)$ cycle.
3. C.
   leads the voltage by $\left(\frac{1}{2}\right)$ cycle.
4. D.
   lags the voltage by $\left(\frac{1}{2}\right)$ cycle.

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1. A.
   Current only
2. B.
   Voltage only
3. C.
   Power only
4. D.
   Magnetic flux and Power both

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1. A.
   $100\sqrt{2}$ V
2. B.
   100 V
3. C.
   $50\sqrt{2}$ V
4. D.
   50 V

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1. A.
   157 V
2. B.
   $\dfrac{157}{\sqrt{2}}$ V
3. C.
   $78{\cdot}5$ V
4. D.
   100 V

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1. A.
   $\dfrac{5\pi}{6}$
2. B.
   $\dfrac{5\pi}{4}$
3. C.
   $\dfrac{5\pi}{2}$
4. D.
   $\dfrac{3\pi}{2}$

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1. A.
   $\dfrac{10^5}{4\pi}$ Hz
2. B.
   $\dfrac{10^5}{2\pi}$ Hz
3. C.
   $\dfrac{10^4}{4\pi}$ Hz
4. D.
   $\dfrac{10^4}{2\pi}$ Hz

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1. A.
   220 V – 50 Hz
2. B.
   1100 V – 50 Hz
3. C.
   2200 V – 5 Hz
4. D.
   2200 V – 50 Hz

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1. A.
   $\dfrac{\mathrm{X}}{6}$
2. B.
   6X
3. C.
   $\dfrac{2}{3}\mathrm{X}$
4. D.
   $\dfrac{3}{2}\mathrm{X}$

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1. A.
   $\dfrac{1}{\sqrt{2}}(i_1 + i_2)$
2. B.
   $\dfrac{1}{\sqrt{2}}(i_1 - i_2)$
3. C.
   $\dfrac{1}{\sqrt{2}}\sqrt{(i_1^2 + i_2^2)}$
4. D.
   $\dfrac{1}{\sqrt{2}}(i_1^2 + i_2^2)$

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1. A.
   $\sqrt{3}$
2. B.
   $\dfrac{1}{\sqrt{3}}$
3. C.
   3
4. D.
   $\dfrac{1}{3}$

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1. A.
   10 mA
2. B.
   20 mA
3. C.
   40 mA
4. D.
   80 mA

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1. A.
   P
2. B.
   Q
3. C.
   R
4. D.
   S

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1. A.
   both the inductor and the capacitor decreases.
2. B.
   inductor decreases and the capacitor increases.
3. C.
   both the inductor and the capacitor increases.
4. D.
   inductor increases and the capacitor decreases.

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1. A.
   X is a capacitor and $X_C = \sqrt{2}\,R$
2. B.
   X is an inductor and $X_L = R$
3. C.
   X is an inductor and $X_L = \sqrt{2}\,R$
4. D.
   X is a capacitor and $X_C = R$

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1. A.
   $\omega^2 \mathrm{LC}$
2. B.
   $\mathrm{LC}^2$
3. C.
   $\dfrac{\mathrm{LC}}{\omega^2}$
4. D.
   $\omega^2 \mathrm{L}$

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1. A.
   is ahead of the voltage in phase by $\pi$.
2. B.
   lags voltage in phase by $\pi$.
3. C.
   is ahead of voltage in phase by $\pi/2$.
4. D.
   lags voltage in phase by $\pi/2$.

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1. A.
   If the frequency of the source is increased, the impedance of the circuit first decreases and then increases.
2. B.
   If the net reactance $(X_L - X_C)$ of circuit becomes equal to its resistance, then the current leads the voltage by $45^\circ$.
3. C.
   At resonance, the voltage drop across the inductor is more than that across the capacitor.
4. D.
   At resonance, the voltage drop across the capacitor is more than that across the inductor.

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1. A.
   $\dfrac{\mathrm{V}_0}{\sqrt{2}}$
2. B.
   $\mathrm{V}_0$
3. C.
   $\dfrac{\mathrm{V}_0}{2}$
4. D.
   $\sqrt{2}\ \mathrm{V}_0$

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