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 rms voltage?
(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?
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 rms voltage?
(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) Yes; the
statement is not true for rms voltage
It
is true that in any ac circuit, the applied voltage is equal to the
average sum of the instantaneous voltages across the series elements
of the circuit. However, this is not true for rms voltage because
voltages across different elements may not be in phase.
(b) High induced
voltage is used to charge the capacitor.
A
capacitor is used in the primary circuit of an induction coil. This
is because when the circuit is broken, a high induced voltage is used
to charge the capacitor to avoid sparks.
(c) The dc signal will appear across capacitor C
because for dc signals, the impedance of an inductor (L) is
negligible while the impedance of a capacitor (C) is very high
(almost infinite). Hence, a dc signal appears across C. For an
ac signal of high frequency, the impedance of L is high and
that of C is very low. Hence, an ac signal of high frequency
appears across L.
(d) If an iron core is inserted in the choke coil (which is in
series with a lamp connected to the ac line), then the lamp will glow
dimly. This is because the choke coil and the iron core increase the
impedance of the circuit.
(e) A choke coil is needed in the use of fluorescent tubes
with ac mains because it reduces the voltage across the tube without
wasting much power. An ordinary resistor cannot be used instead of a
choke coil for this purpose because it wastes power in the form of
heat.
(a) Yes; the statement is not true for rms voltage
It is true that in any ac circuit, the applied voltage is equal to the average sum of the instantaneous voltages across the series elements of the circuit. However, this is not true for rms voltage because voltages across different elements may not be in phase.
(b) High induced voltage is used to charge the capacitor.
A
capacitor is used in the primary circuit of an induction coil. This
is because when the circuit is broken, a high induced voltage is used
to charge the capacitor to avoid sparks.
(c) The dc signal will appear across capacitor C because for dc signals, the impedance of an inductor (L) is negligible while the impedance of a capacitor (C) is very high (almost infinite). Hence, a dc signal appears across C. For an ac signal of high frequency, the impedance of L is high and that of C is very low. Hence, an ac signal of high frequency appears across L.
(d) If an iron core is inserted in the choke coil (which is in series with a lamp connected to the ac line), then the lamp will glow dimly. This is because the choke coil and the iron core increase the impedance of the circuit.
(e) A choke coil is needed in the use of fluorescent tubes with ac mains because it reduces the voltage across the tube without wasting much power. An ordinary resistor cannot be used instead of a choke coil for this purpose because it wastes power in the form of heat.
