Given a set of capacitors: 12nF, 6nF, 9nF, 4μF, 2pF, and 7μF, solve the following problems: 1. Solve the total capacitance for a series circuit and illustrate the circuit. 2. If the series circuit is connected to a 30 V battery, find the total charge. 3. Given the same voltage, solve for the energy.

What is the second order differential equation when applying Kirchhoff's voltage law in a circuit of R = 50, L = 0.2 H, and C 5-H connected in series to a 12 V battery. a. "+251 +125i = 60 b. q"+ 25q' + 125q 60 %3D c. i"+ 25i' + 125i = 12 O9" + 25q' + 125q 12 e. None of the above %3D

3. vol, tag e vol, tag e 4. Sketch plots of capacitor voltage vs. time for two RC circuits being charged by a battery. Both plots should be at the same scale. a. R = 250 22, C = 1000 μF time b. R = 250 2, C = 10 μF time Calculate the time constant for the R = 250 2, C = 10 uF RC circuit.

A series combination of a 45,000 Ohm resistor and an unknown capacitor is connected to a 15 V battery. Once second after the circuit is completed, the voltage across the capacitor is 8 V. a. Determine the capacitance of the capacitor. b. What is the voltage across the capacitor 2 seconds after the circuit is completed?

capacitance

A 5 µF capacitor in parallel with a 10 µF capacitor. Connected in series is another 5 µF capacitor. The voltage of 120 V is applied to the whole combination. Solve for: a. the total capacitance of the circuit b. charge stored in each capacitor C. energy stored in each capacitor d. voltage across each capacitor

Determine the total capacitance in the capacitor circuits as shown in figure below.  a. 16µF b.17µF c.18µF d.19µF e. 20µF

3. From the figure above, a switch is closed at time t = 0, allowing the capacitor to begin charging. The capacitance of the capacitor is given a value of C = 10 µF with a resistor of resistance R= 10 2. At what time is the potential across the capacitor equal to the potential across the resistor?

Draw a series circuit with three 1.5V batteries , 5 resistors, and a current of 0.5 A.a) what is the total voltage of the circuit? b) what is the resistance of each resistor? c) what is the voltage drop across each resistor? label on your circuit.

A 1 uF capacitor is connected in series with a 2 uF capacitor and an open switch. Initially, the voltage across the open switch is 12 V and the voltages across the two capacitors are equal. a) b) Draw this circuit, marking on your diagram values of voltage V, charge Q and stored energy E in appropriate places. The switch is now closed. A current will flow, and excess energy will be dissipated in heat in the wires. Make a second diagram showing the final values of the voltages V, charges Q and stored energies, and state the amount of energy dissipated. E