A circuit diagram is shown in the above figure (left). The capacitors have the f

Question

A circuit diagram is shown in the above figure (left). The capacitors have the following capacitance values C_1 = 7 F and C_2 = 10F. The resistors have the following resistance values R_1 = 7 Ohm and R_2 = 10 Ohm. (a) Determine the equivalent capacitance in the circuit. (Reduce the problem to a single capacitor.) (b) Determine the equivalent resistance in the circuit. (Reduce the problem to a single resistor.) (e) Determine the time constant of the RC circuit. (d) After some time the capacitor is charged and current is no longer flowing. The battery has a voltage rating of 24 V. Determine the charge on the capacitor.

Explanation / Answer

c1,c2 are in parallel c = c1+c2 = 10+7 = 17 micro F

r1,r2 are in parallel r = r1r2/r1+r2 = 4.12 ohm

c) t = rc = 70.04 micro sec

d) q = cv

q = 17*10^-6*24 = 408*10^-6 C

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