The capacitors shown in the diagram have capacitances: C_1 = 3 mu F, C_2 = 3 mu

Question

The capacitors shown in the diagram have capacitances: C_1 = 3 mu F, C_2 = 3 mu F and C_3 = 6 mu F. A voltage V = 12 v is applied across contacts a and b. What is the magnitude of the total charge stored in the system? Three resistors = R_1, R_2 and R_3 - are connected in a series/parallel arrangement with a battery as shown in the circuit diagram. The voltage of the battery is V = 24 v; the resistances of the resistors are R_1 = 9.0 Ohm, R_2 = 6.0 Ohm and R_3 = 3.0 Ohm. What is the current that is drawn from the battery?

Explanation / Answer

1.6) C1 = 3 uF, C2 = 3uF, C3 = 6 uF

in series combination

C23 = 3*6/(3+6) = 2 uF

in parallel combination

C123 = 3 +2 = 5 uF

Q = VC

V = 12 V

Q123 = 12*5 = 60 uC

1.7) R1 = 9 ohms ,R2 = 6 ohms ,R3 = 3 ohms

V = 24 V

in parallel combination

R23 = 6*3/(6+3) = 2 ohms

R123 = 9 +2 = 11 ohms

V = IR

24 = I*11

I = 2.182 A

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