7.22 Answer the following questions:

(a) 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 rmsvoltage?

(b) A capacitor is used in the primary circuit of an induction coil.

(c) An applied voltage signal consists of a superposition of a dc voltage and an ac voltage of high frequency. The circuit consists of an inductor and a capacitor in series. Show that the dc signal will appear across C and the ac signal across L.

(d) A choke coil in series with a lamp is connected to a dc line. The lamp is seen to shine brightly. Insertion of an iron core in the choke causes no change in the lamp’s brightness. Predict the corresponding observations if the connection is to an ac line.

(e) Why is choke coil needed in the use of fluorescent tubes with ac mains? Why can we not use an ordinary resistor instead of the choke coil?

 

(a) The voltage applied will be equal to the average sum of the instantaneous the voltage across the circuit it's series elements and will be true for any ac circuit. But the voltages across different elements may not be in phase-in the case of rms Voltage In the case of rms voltage, therefore, the statement is not true.

(b) When the circuit is broken, the capacitor is charged with a high induced voltage and the capacitor is used in an induction coil's primary circuit to avoid sparks in the circuit.

(c) For dc signals, an inductor (L) impedance is negligible, but a capacitor
impedance is very high. The dc signal will be appearing across the capacitor (C).In the case of a high-frequency ac signal, an inductor (L) impedance will be high and a capacitor (C) impedance will be very low. A high-frequency ac signal will therefore appear across the inductor (L).

(d) When an iron core is inserted into the choke coil in series with a lamp connected to the ac line, the lamp will glow dimly, and this is because the iron core and the choke coil increase the circuit impedance.

(e) The choke coil reduces the tube voltage without a lot of power being wasted. So, when using fluorescent tubes with ac mains, the choke coil is needed. An ordinary resistor wastes power in the form of heat so that the use of fluorescent tubes with ac mains cannot use an ordinary resistor instead of a choke coil.