A circuit contains two resistors (R 1 = 10 ? and R 2 = 21 ?) and two capacitors

Question

A circuit contains two resistors (R1 = 10 ? and R2 = 21 ?) and two capacitors (C1 = 11 ?F and C2 = 5 ?F) connected to a 8 volt battery, as shown in the diagram above. The circuit has been connected for a very long time.

(b) Calculate the current in the 10 ? resistor.

(c) Calculate the potential difference between points A and B.

(d) Calculate the charged stored on one plate of the 5 ?F capacitor.

(e) The wire is cut at point P. Will the potential difference between points A and B increase, decrease, or remain the same. Justify your answer.

Explanation / Answer

b) After a long time the capacitors acts as open ckt.

so, Rnet = R1 + R2

= 10 + 21

= 31 ohms

so, Current through R1, I = V/Rnet

= 8/31

= 0.258 A <<<<<<<<<<<------------Answer

c) VAB = I*R2

= 0.258*21

= 5.42 volts <<<<<<<<<<<------------Answer

d) C12 = C1*C2/(C1+C2)

= 11*5/(11+5)

= 3.4375 micro F

chharge on c2 = C12*VAB

= 3.4375*5.42

= 18.63*10^-6 C or 18.63 micro C <<<<<<<<<<<------------Answer

e) remain the same <<<<<<<<<<<------------Answer

because, the capacitors already acting as open ckt.

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