1.Two capacitors each of \[1\mu F\] capacitance are connected in
parallel and are then charged by 200 volts d.c. supply. The
total energy of their charges (in joules) is
a) 0.01
b) 0.02
c) 0.04
d) 0.06
Explanation:
2. In an adjoining figure are shown three capacitors \[C_{1},C_{2}\] and \[C_{3}\] joined to a battery. The correct condition will be
(Symbols have their usual meanings)
a) \[Q_{1}=Q_{2}=Q_{3}\] and \[V_{1}=V_{2}= V_{3}=V\]
b) \[Q_{1}=Q_{2}+Q_{3}\] and \[V=V_{1}+V_{2}+ V_{3}\]
c) \[Q_{1}=Q_{2}+Q_{3}\] and \[V=V_{1}+V_{2}\]
d) \[Q_{2}=Q_{3}\] and \[V_{2}= V_{3}\]
Explanation:
3.Two condensers of capacity 0.3 \[\mu F\] and 0.6 \[\mu F\]
respectively are connected in series. The combination is
connected across a potential of 6 volts . The ratio of energies
stored by the condensers will be
a) \[\frac{1}{2}\]
b) 2
c) \[\frac{1}{4}\]
d) 4
Explanation: In series combination Q is constant, hence according to
4. The capacitor of capacitance \[4\mu F\] and \[6\mu F\] are connected in
series. A potential difference of 500 volts is applied to the
outer plates of the two capacitor system. The potential
difference across the plates of capacitor of \[4\mu F\] capacitance is
a) 500 volts
b) 300 volts
c) 200 volts
d) 250 volts
Explanation:
5. Two capacitances of capacity \[C_{1}\] and \[C_{2}\] are connected in
series and potential difference V is applied across it. Then
the potential difference across \[C_{1}\] will be
a) \[V\frac{C_{2}}{C_{1}}\]
b) \[V\frac{C_{1}+C_{2}}{C_{1}}\]
c) \[V\frac{C_{2}}{C_{1}+C_{2}}\]
d) \[V\frac{C_{1}}{C_{1}+C_{2}}\]
Explanation:
6.Three capacitances of capacity 10 \[\mu F\] , 5 \[\mu F\] and 5 \[\mu F\] are
connected in parallel. The total capacity will be
a) 10 \[\mu F\]
b) 5 \[\mu F\]
c) 20 \[\mu F\]
d) None of the above
Explanation:
7. Three capacitors of capacity \[C_{1},C_{2},C_{3}\] are connected in
series. Their total capacity will be
a) \[C_{1}+C_{2}+C_{3}\]
b) \[1/\left(C_{1}+C_{2}+C_{3}\right)\]
c) \[\left(C_1^{-1}+C_2^{-1}+C_3^{-1}\right)^{-1}\]
d) None of these
Explanation:
8. Two capacitors of equal capacity are first connected in
parallel and then in series. The ratio of the total capacities
in the two cases will be
a) 2 : 1
b) 1 : 2
c) 4 : 1
d) 1 : 4
Explanation:
9.Two capacitors connected in parallel having the capacities
\[C_{1}\] and \[C_{2}\] are given 'q' charge, which is distributed
among them. The ratio of the charge on \[C_{1}\] and \[C_{2}\] will be
a) \[\frac{C_{1}}{C_{2}}\]
b) \[\frac{C_{2}}{C_{1}}\]
c) \[C_{1}C_{2}\]
d) \[\frac{1}{C_{1}C_{2}}\]
Explanation:
10. Two capacitors of capacities \[C_{1}\] and \[C_{2}\] are charged to
voltages \[V_{1}\] and \[V_{2}\] respectively. There will be no exchange
of energy in connecting them in parallel, if
a) \[C_{1}=C_{2}\]
b) \[C_{1}V_{1}=C_{2}V_{2}\]
c) \[V_{1}=V_{2}\]
d) \[\frac{C_{1}}{V_{1}}=\frac{C_{2}}{V_{2}}\]
Explanation: \[V_{1}=V_{2}\]