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Alternating Cur...

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  • Question 1
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    An inductor of inductance $$L= 200\ \text{mH}$$ and the resistors $$R_{1}$$ and $$R_{2}$$, each of which is equal to $$4\ \Omega $$, are connected to a battery of emf  $$12\ \text{V}$$ through a switch $$S$$ as shown in the Figure. The switch $$S$$ is closed and after the steady state is reached, the switch $$S$$ is opened. The current in $$R_{1}$$ then is $$($$in $$A)$$

  • Question 2
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    Directions For Questions

    An alternating source $$V\ \text{volt},\ f\ \text{Hz}$$ is connected across an lnductance $$L($$in series wlth resistance $$R)$$ in parallel with a capacitance $$C$$ as shown above.
    The admittance Y of the circuit is then defined through I= YV

    where $$|\displaystyle \mathrm{Y}|=\frac{[\mathrm{R}^{2}\mathrm{X}_{\mathrm{c}}^{2}+(\mathrm{R}^{2}+\mathrm{X}_{L}^{2}-X_{L}X_{\mathrm{c}})^{2}]}{\mathrm{X}_{\mathrm{c}}(\mathrm{R}^{2}+\mathrm{X}_{L}^{2})}\frac{1}{2}$$ The current $$I$$ leads the source voltage $$V$$ by 6, 

    such that $$\displaystyle \tan\partial=\frac{(\mathrm{R}^{2}+X_{L}-X_{L}\mathrm{X}_{\mathrm{c}})}{\mathrm{R}\mathrm{X}_{\mathrm{c}}}$$ with $$\mathrm{X}_{\mathrm{L}}=\omega \mathrm{L}$$ and $$\displaystyle X_{C}=\dfrac{1}{\omega \mathrm{C}}$$

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    The frequency at which the impedance of the circuit becomes maximum is

  • Question 3
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    Directions For Questions

    In the circuit shown, the switch S is in position A carrying certain current i. Now, at time t $$=$$ 0 s, when the current i $$=$$ 0.5 A, the switch S is moved from A to B. The phase difference between the source voltage e $$=$$ 200 sin $$\omega $$tV and the current is 45$$^{o}$$

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    The reading shown in AC Voltmeter V when S is moved to B is:

  • Question 4
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    In the circuit diagram shown, $$X_{C}=100\Omega , X_{L}=200 \Omega$$  & $$R=100 \Omega .$$ The effective current through the source is:

  • Question 5
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    In a series L, C circuit , which of the following represents variation of magnitude of reactance (X) with frequency (f) ? 

  • Question 6
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    Directions For Questions

    In the $$L-C$$ circuit shown, $$C=1\mu F$$. With capacitor charged to $$100V$$, Switch $$S$$ is suddenly closed at time $$t=0$$. The circuit then oscillates at $${10}^{3}Hz$$.

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    Calculate $$\omega$$ and $$T$$.

  • Question 7
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    Switch S is closed at t = 0. After sufficiently long time an iron rod is inserted into the inductor L. Then, the bulb :

  • Question 8
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    The instantaneous potential difference between points A and B is (Phase angle is $$37^0$$)

  • Question 9
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    Identify the graph which correctly represents the variation of capacitive reactance $$X_C$$ with frequency.

  • Question 10
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    The frequency of oscillation of current in the inductance is

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