A 2.50- and a 8.70-uF capacitor can be connected in series or parallel, as can a

Question

A 2.50- and a 8.70-uF capacitor can be connected in series or parallel, as can a 23.0- and a 105-ks2 resistor. Calculate the four RC time constants possible from connecting the resulting capacitance and resistance in series Both the resistors and the capacitors connected in series Submit Answer Tries 0/10 The resistors connected in series and the capacitors connected in parallel Submit Answer Tries 0/20 Both the resistors and the capacitors connected in parallel Submit Answer Tries 0/10 The resistors connected in parallel and the capacitors connected in series Submit Answer Tries 0/10

Explanation / Answer

Time constant is =ReqCeq

When both are in series,

Equivalent resistance=23+105

=128 kilo ohms

Equivalent capacitance=2.5*8.7/(2.5+8.7)

=1.942 micro farady

So,

Time constant will be,

128*1.942*10-3

=0.248seconds.

(b)

Equivalent resistance=128

Equivalent capacitance=2.5+8.7

11.2

time constant=128*11.2*10-3

=1.4336 seconds

(c)

Equivalent resistance=18.867

Equivalent capacitance=2.5+8.7

11.2

time constant=18.867*11.2*10-3

=0.2113 seconds.

(d)

Equivalent resistance=18.867

Equivalent capacitance=2.5*8.7/(2.5+8.7)

=1.942 micro farady

So, time constant=18.867*1.942*10-3

0.03664 seconds

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