A 2.00-µF and a 7.70-µF capacitor can be connected in series or parallel, as can a 21.0-kΩ and a 100-kΩ resistor. Calculate the four RC time constants possible from connecting the resulting capacitance and resistance in series.
(a) resistors and capacitors in series
s
(b) resistors in series, capacitors in parallel
s
(c) resistors in parallel, capacitors in series
s
(d) capacitors and resistors in parallel
s
(a)
Series combination of resistors is given as
R = 21.0 + 100
R = 121 kohm
R = 121000 ohm
Series combination of capacitors is given as
C = Product of capacitors/(Sum)
C = (2.00)(7.70)/(2.00 + 7.70)
C = 1.6 F
C = 1.6 x 10-6 F
Time constant is given as
T = RC
T = (121000) (1.6 x 10-6)
T = 0.194 sec
b)
Series combination of resistors is given as
R = 21.0 + 100
R = 121 kohm
R = 121000 ohm
Parallel combination of capacitors is given as
C = 2.00 + 7.70 = 9.70 F = 9.70 x 10-6 F
Time constant is given as
T = RC
T = (121000) (9.70 x 10-6)
T = 1.2 sec
C)
Parallel combination of resistors is given as
R = Product of resistors/(Sum)
R = (21.0) (100)/(21.0 + 100)
R = 17.4 ohm
Series combination of capacitors is given as
C = Product of capacitors/(Sum)
C = (2.00)(7.70)/(2.00 + 7.70)
C = 1.6 F
C = 1.6 x 10-6 F
Time constant is given as
T = RC
T = (17.4) (1.60 x 10-6)
T = 27.8 x 10-6 sec
D)
Parallel combination of resistors is given as
R = Product of resistors/(Sum)
R = (21.0) (100)/(21.0 + 100)
R = 17.4 ohm
Parallel combination of capacitors is given as
C = 2.00 + 7.70 = 9.70 F = 9.70 x 10-6 F
Time constant is given as
T = RC
T = (17.40) (9.70 x 10-6)
T = 168.8 x 10-6 sec
A 2.00-µF and a 7.70-µF capacitor can be connected in series or parallel, as can a...
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