5.00 (xF, 10.0 (iF, and 50.0 nF capacitors are connected in parallel across a 12

Question

5.00 (xF, 10.0 (iF, and 50.0 nF capacitors are connected in parallel across a 12.0V battery. How much charge is stored in the 5.00nF capacitor? Set up the equations needed to determine the three currents for the circuit shown, then determine the value of each current. When a 200 (iF capacitor is fully charged using a 15 volt power supply and then discharged through a resistor, the decay time constant is measured to be 60 ms. How much charge is on the capacitor when fully charged ? How large is the current at the instant the capacitor starts to discharge ? What is the resistance through which the capacitor is discharged ? How much energy is turned to heat by the time the capacitor is fully discharged ? A 1500W heater is connected to a 120V line for 2.0 hours. How much heat energy is produced? What is the total resistance for the circuit at the right ?

Explanation / Answer

5. 60 uC in the 5 uF branch

6. I1 + 2I2 - 2 = 0; 4I3+ 2I2-2 = 0; I1+I3-I2=0

7. a) 3000 uC b) 0.05 A c) 300ohm d) 0.0225 J

8. 10.8 x 106 J

9. 50 ohm

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