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In any ac circuit, is the applied instan...

In any ac circuit, is the applied instantaneous voltage equal to the algebraic sum of the instantaneous voltages across the series elements of the circuit? Is the same true for rms voltage?

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Yes. The same is not true for rms voltage, because voltages across different elements may not be in phase. See, for example, answer to Exercise.
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NCERT GUJARATI-ALTERNATING CURRENT-ADDITIONAL EXERCISES
  1. An LC circuit contains a 20 mH inductor and a 50 muF capacitor with an...

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  2. A coil of inductance 0.50 H and resistance 100Omega is connected to a ...

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  3. If the circuit is connected to a high frequency supply (240 V, 10 kHz)...

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  4. A 100 muF capacitor in series with a 40 Omega resistance is connected ...

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  5. If the circuit is connected to a 110 V, 12 kHz supply? Hence, explain ...

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  6. Keeping the source frequency equal to the resonating frequency of the ...

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  7. A circuit containing a 80 mH inductor and a 60 muF capacitor in series...

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  8. Suppose the circuit in has a resistance of 15 W. Obtain the average p...

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  9. A series LCR circuit with L = 0.12 H, C = 480 nF, R = 23 Omega is conn...

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  10. Obtain the resonant frequency and Q-factor of a series LCR circuit wit...

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  11. In any ac circuit, is the applied instantaneous voltage equal to the a...

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  12. A capacitor is used in the primary circuit of an induction coil.

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  13. An applied voltage signal consists of a superposition of a dc voltage ...

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  14. A choke coil in series with a lamp is connected to a dc line. The lamp...

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  15. Why is choke coil needed in the use of fluorescent tubes with ac mains...

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  16. A power transmission line feeds input power at 2300 V to a stepdown tr...

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  17. At a hydroelectric power plant, the water pressure head is at a height...

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  18. A small town with a demand of 800 kW of electric power at 220 V is sit...

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  19. Do the same exercise as above with the replacement of the earlier tran...

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