In an ideal transformer, the turns ratio is \(\frac{N_p}{N_s}=\frac{1}{2} .\) 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. \(1:2\)
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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 \((\pi = 3.14)\):
\(L,C\) and \(R\) represent the value of inductance, capacitance, and resistance, respectively. The factor which has the same dimensions as that of the inverse of the resonance frequency is:
1. \(\sqrt{LC}\)
2. \(\sqrt{\dfrac{L}{C}}\)
3. \(\dfrac{C}{L}\)
4. \(\dfrac{R}{L}\)
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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:
A step-up transformer is connected to an AC mains supply of \(220~\text V\) to operate at \(11000~\text V, 88~\text W.\) 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. \(4~\text{A}\)
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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. \(3.7~\text{A}\)
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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. \(1.59~\text{rad/s}\)
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Subtopic: Different Types of AC Circuits |
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