1. A 2.0 µF capacitor in a circuit in series with a resistance of 1.0 MΩ is charged
using a battery with terminal voltage Vo. How long would it take to charge the
capacitor to three-fourths of its maximum voltage?
a. 1.2 s
b. 2.0 s
c. 2.77 s
d. 1 s
e. 0.57 s
f. Insufficient information given, cannot calculate the time.
2. A 2.0 µF capacitor in a circuit in series with a resistance of 1.0 MΩ is charged with
a 6.0 V battery. What is the time constant of this circuit?
a. 1 s
b. 3 s
c. 12 s
d. 2 s
e. 8 s
3. A capacitor C is connected in series with a resistance R. What is the voltage across
the capacitor after two time constants when charging
from zero voltage?
a. 4.32 V
b. 0.864 V
c. 2.5 V
d. 5 V
e. 0 V
f. Insufficient information given
C
5V
R
4. A capacitor C is connected in series with a resistance R. What is the voltage across
the capacitor after two time constants
when discharging from a fully charged
condition of 5 V?
a. 2.5 V
b. 0.135 V
c. 5 V
d. 0 V
e. 0.678 V
f. Insufficient information given
C
R
5. Consider the following circuit diagram. In order to charge the capacitor, the switch
S needs to be in position:
a. A
b. B
c. In the middle between A and B
A
B
S
6. Consider the following circuit diagram.
In order to discharge the capacitor, the
switch S needs to be in position:
C
R
a. A
b. B
c. In the middle between A and B
7. A capacitor C is connected in series
with a resistance R. A voltage Vo is applied to this series connection as shown in the
Figure. The equation that determines the voltage
(V) across the capacitor as a function of time (t)
after the switch is closed is:
S
a. V(t) = Vo (exp(–t/RC) -1)
b. V(t) = Vo exp(t/RC)
c. V (t) = Vo . t
d. V (t) = Vo (1 - exp(–t/RC))
e. V (t) = Vo exp(-t/RC)
f. V (t) = Vo (1 - exp(t/RC))
C
Vo
R
S
8. A capacitor C is connected in series with
a resistance R. A voltage Vo is applied to
this series connection as shown in the Figure
and the capacitor is charged to its maximum
value Vo. The equation that determines the
voltage (V) across the capacitor as a
function of time (t) after the switch is
opened is:
a. V(t) = Vo (exp(–t/RC) -1)
b. V(t) = Vo exp(t/RC)
C
Vo
R
c. V (t) = Vo
d. V (t) = Vo (1 - exp(–t/RC))
e. V (t) = Vo exp(-t/RC)
f. V (t) = Vo (1 - exp(t/RC))
9. A capacitance C is connected to a 1 kΩ resistor as shown in the Figure. The
capacitor is initially fully discharged. At time t=0 the switch is closed. The voltage
across the capacitor after 10 s was measured to be 6 V. What is the value of C?
a. 60 F
b. 11 µF
c. 1 F
d. 10 F
f. 11 mF
S
C
10 V
1 kΩ
10. A capacitance of 10 µF is connected to a 1 MΩ resistor as shown in the Figure.
The capacitor has an initial charge of 10 µC on its plates. At time t=0 the switch is
closed. What is the voltage across the capacitor after 5 seconds?
a. 4.93 V
b. 10 V
c. 1 V
d. 3.93 V
e. 5 V
S
C
+
-
1 MΩ
10 V