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Q. No.

In an ideal transformer, the turns ratio is \(\cfrac{N_p}{N_s}=\cfrac{1}{2} .\) The ratio \(V_s:V_p\) is equal to (the symbols carry their usual meaning):
1. \(2:1\) 2. \(1:1\)
3. \(1:4\) 4. \(1:2\)
Q1:
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Subtopic:  Transformer |
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A \(10~\mu\text F\) capacitor is connected to a \(210~\text V,50~\text{Hz}\) source as shown in the figure. The peak current in the circuit is nearly \((\pi = 3.14)\):
                          
1. \(0.93~\text A\)
2. \(1.20~\text A\)
3. \(0.35~\text A\)
4. \(0.58~\text A\)
Q2:
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Subtopic:  RMS & Average Values |
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\(L,C\) and \(R\) represent the value of inductance, capacitance and resistance, respectively. The factor which has the same dimensions as that of the inverse of resonance frequency is:
1. \(\sqrt{LC}\)
2. \(\sqrt{\dfrac{L}{C}}\)
3. \(\dfrac{C}{L}\)
4. \(\dfrac{R}{L}\)
Q3:
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Subtopic:  Different Types of AC Circuits |
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In the circuit shown below, the inductance \(L\) is connected to a source. The current flowing in the circuit is \({I=I_{0}\sin\omega t.}\) The voltage drop \((V_L)\) across \(L\) is:

1. \(\omega L~I_0\sin\omega t\)
2. \(\frac{{I}_0}{\omega{L}}\sin\omega t\)
3. \(\frac{{I}_0}{\omega{L}}\cos\omega t\)
4. \(\omega L~I_0\cos\omega t\)
Q4:
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Subtopic:  Different Types of AC Circuits |
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A step-up transformer is connected to an AC mains supply of \(220~\text V\) to operate at \(11000~\text V, 88\) watt. The current in the secondary circuit, ignoring the power loss in the transformer, is:
1. \(8~\text{mA}\) 2. \(4~\text{mA}\)
3. \(0.4~\text{A}\) 4. \(4~\text{A}\)
Q5:
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Subtopic:  Transformer |
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An ac source is connected to a capacitor \(C\). Due to decrease in its operating frequency:
1. capacitive reactance remains constant
2. capacitive reactance decreases.
3. displacement current increases.
4. displacement current decreases.
Q6:
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Subtopic:  Different Types of AC Circuits |
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A \(12~\text{V},60~\text{W}\) lamp is connected to the secondary of a step down transformer, whose primary is connected to ac mains of \(220~\text{V}\). Assuming the transformer to be ideal, what is the current in the primary winding?
1. \(0.37~\text{A}\)
2. \(0.27~\text{A}\)
3. \(2.7~\text{A}\)
4. \(3.7~\text{A}\)
Q7:
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Subtopic:  Transformer |
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In a series \({LCR}\) circuit, the inductance \({L}\) is \(10~\text{mH}\), capacitance \({C}\) is \(1~\mu\text{F}\) and resistance \({R}\) is \(100~\Omega\). The frequency at which resonance occurs is:
1. \(1.59~\text{kHz}\) 2. \(15.9~\text{rad/s}\)
3. \(15.9~\text{kHz}\) 4. \(1.59~\text{rad/s}\)
Q8:
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Subtopic:  Different Types of AC Circuits |
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The net impedance of circuit (as shown in the figure) will be:

1. \(25~\Omega\)
2. \(10\sqrt{2}~\Omega\)
3. \(15~\Omega\)
4. \(5\sqrt{5}~\Omega\)
Q9:
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An AC source is connected to the given circuit. The value of \(\phi\) will be:
1. \(60^\circ\) 2. \(90^\circ\)
3. \(30^\circ\) 4. \(45^\circ\)
Q10:
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