# The peak value of an alternating e.m.f. $\mathrm{E}={\mathrm{E}}_{0}$  is 10 volts and its frequency is 50 Hz. At a time $$t=\frac{1}{600}~s,$$ the instantaneous value of the e.m.f. will be: 1. 1 volt 2. $$5 \sqrt{3}$$ volts 3. 5 volts 4. 10 volts

Subtopic:  RMS & Average Values |
78%
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The time required for a 50 Hz sinusoidal alternating current to change its value from zero to the r.m.s. value will be:

1. $1.5×{10}^{-2}$ $\mathrm{s}$

2. $2.5×{10}^{-3}$ $\mathrm{s}$

3. ${10}^{-1}$ $\mathrm{s}$

4. ${10}^{-6}$ $\mathrm{s}$

Subtopic:  RMS & Average Values |
76%
From NCERT
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A sinusoidal supply of frequency 10 Hz and r.m.s. voltage of 12 V is connected to a 2.1 $\mathrm{\mu F}$ capacitor. What is the r.m.s. value of current?

1. 5.5 mA

2. 20 mA

3. 26 mA

4. 1.6 mA

Subtopic:  Different Types of AC Circuits |
79%
From NCERT
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In a series RLC circuit, potential differences across R, L and C are 30 V, 60 V and 100 V respectively, as shown in the figure. The emf of the source (in volts) will be:

1. 190

2. 70

3. 50

4. 40

Subtopic:  Different Types of AC Circuits |
89%
From NCERT
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In a series LCR circuit, the phase difference between voltage across L and voltage across C is equal to:

 1 Zero 2 $$\pi$$ 3 $$\pi \over 2$$ 4 $$2\pi$$
Subtopic:  Different Types of AC Circuits |
72%
From NCERT
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In a series LC circuit, if $\mathrm{L}={10}^{-3}$ $\mathrm{H}$ and $\mathrm{C}=3×{10}^{-7}$ $\mathrm{F}$ is connected to a 100 V-50 Hz a.c. source, the impedance of the circuit is:

1. $\frac{{10}^{5}}{3\mathrm{\pi }}-10\mathrm{\pi }$

2. $0.1\mathrm{\pi }-3×{10}^{-5}\mathrm{\pi }$

3. $\frac{{10}^{5}}{3\mathrm{\pi }}-\frac{\mathrm{\pi }}{10}$

4. None of these

Subtopic:  Different Types of AC Circuits |
68%
From NCERT
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When does the voltage in a series LCR circuit lead the current? (Given that ${\mathrm{\omega }}_{0}=$resonant angular frequency)

1. $\mathrm{\omega }<{\mathrm{\omega }}_{0}$

2. $\mathrm{\omega }={\mathrm{\omega }}_{0}$

3. $\mathrm{\omega }>{\mathrm{\omega }}_{0}$

4. None of these

Subtopic:  Different Types of AC Circuits |
67%
From NCERT
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The variation of EMF with time for four types of generators is shown in the figures. Which amongst them can be called AC voltage?

 (a) (b) (c) (d)

 1 (a) and (d) 2 (a), (b), (c), and (d) 3 (a) and (b) 4 only (a)

Subtopic:  AC vs DC |
79%
From NCERT
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Calculate the Q-value of a series LCR circuit with L = 2.0 H, C = 32 μF and R = 10 $$\Omega$$.

1. 35

2. 20

3. 15

4. 25

Subtopic:  Different Types of AC Circuits |
81%
From NCERT
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A 44 mH inductor is connected to a 220 V, 50 Hz ac supply. The RMS value of the current in the circuit is:

1. 1.0 A

2. 15 A

3. 15.92 A

4. 14.29 A

Subtopic:  Different Types of AC Circuits |
80%
From NCERT
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