Match List I (expression for current) with List II (rms value of current) and select the correct answer.

List I List II
(a) \(I=I_0 \sin \omega t \cos \omega t\) (i) \(I_0\)
(b) \(I=I_0 \sin \left(\omega t+\frac{\pi}{3}\right)\) (ii) \(I_0/\sqrt{2}\)
(c) \(I_0(\sin \omega t+\cos \omega t)\) (iii) \(I_0e\)
(d) \(I=I_0(e)\) (iv) \(I_0/2\sqrt{2}\)
 
A B C D
1. (iv) (ii) (i) (iii)
2. (iv) (ii) (iii) (i)
3. (ii) (iv) (iii) (i)
4. (ii) (iv) (i) (iii)

Subtopic:  RMS & Average Values |
 65%
From NCERT
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Turn ratio in a step-up transformer is 1: 2 if a
Lechlanche cell of 1.5 V is connected across the
input, then the voltage across the output will be:

1. 0.1 V     

2. 1.5 V 

3. 0.75 V 

4. zero

Subtopic:  Transformer |
 88%
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In an ideal parallel LC circuit, the capacitor is
charged by connecting it to a D.C. source which
is then disconnected. The current in the circuit:

1. becomes zero instantaneously 
2. grows monotonically
3. decays monotonically
4. oscillates instantaneously

Subtopic:  LC Oscillations (OLD NCERT) |
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A power transmission line feeds input power at 2300V to a step down transformer with its primary windings having 4000 turns, giving the output power at 230 V. If the current in the primary of the transformer is 5A, and its efficiency is 90%, the output current would be:

1. 50 A

2. 45 A

3. 25 A

4. 20 A

Subtopic:  Transformer |
 73%
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At a moment (t = 0), when the charge on capacitor C1 is zero, the switch is closed. If I0 be the current through inductor at t = 0 , for t > 0                               

1. maximum current through inductor equals I0/2.    

2. maximum current through inductor equals C1I0C1+C2

3. maximum charge on C1=C1I0LC2C1+C2

4. maximum charge on C1=C1I0LC1+C2

Subtopic:  Different Types of AC Circuits |
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A wire of resistance R is connected in series with an inductor of reactance ωL. Then quality factor of RL circuit is

1.  RωL

2.  ωLR

3.  RR2 + ω2L2

4.  ωLR2 + ω2L2

Subtopic:  Different Types of AC Circuits |
 66%
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The primary and secondary coils of a transformer have \(50\) and \(1500\) turns respectively. If the magnetic flux \(\phi\) linked with the primary coils is given by \(\phi=\phi_0+4t\), where \(\phi\) is in webers, \(t\) is time in seconds, and \(\phi_0\) is a constant, the output voltage across the secondary coil is:
1. \(120\) V 2. \(220\) V
3. \(30\) V 4. \(90\) V
Subtopic:  Transformer |
 83%
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Which of the following combinations should be selected for better tuning of an LCR circuit used for communication?

1.  R = 25 Ω, L = 2.5 H, C = 45 μF

2.  R = 15 Ω, L = 3.5 H, C = 30 μF

3.  R = 25 Ω, L = 1.5 H, C = 45 μF

4.  R = 20 Ω, L = 1.5 H, C = 35 μF

Subtopic:  Different Types of AC Circuits |
 73%
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The core of a transformer is laminated to reduce energy losses due to  

(1) Eddy currents

(2) Hysteresis

(3) Resistance in winding

(4) None of these

Subtopic:  Transformer |
 86%
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A power transformer is used to step up an alternating e.m.f. of 220 V to 11 kV to transmit 4.4 kW of power. If the primary coil has 1000 turns, what is the current rating of the secondary ? Assume 100% efficiency for the transformer 

(1) 4 A

(2) 0.4 A

(3) 0.04 A

(4) 0.2 A

Subtopic:  Transformer |
 76%
From NCERT
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