Practice: What is the equivalent capacitance of the following capacitors?

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Practice: What is the equivalent capacitance of the following capacitors?

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Concept #1: Combining Capacitors in Series & Parallel

Example #1: Find Equivalent Capacitance #1

Practice #1: Find Equivalent Capacitance #2

What is the equivalent capacitance of the five capacitors? All capacitors are identical and have capacitance of C = 40 nF.
a. 15 nF
b. 24 nF
c. 25 nF
d. 64 nF
e. 200 nF

Consider the group of capacitors shown in the figure. Find the equivalent capacitance Cad between points a and d.
1. Cad = 4 C
2. Cad = 2/5 C
3. Cad = 3/5 C
4. Cad = 2 C
5. Cad = 3/4 C
6. Cad = 1/3 C
7. Cad = 5 C
8. Cad = 1/2 C
9. Cad = 3 C
10. Cad = 2/3 C

Consider the circuit of capacitors shown below. The equivalent capacitance of the circuit is 9.0 μF.
Determine the value of the capacitance C.

Consider the capacitor network. Find the equivalent capacitance for the combination shown.

What is the equivalent capacitance of the combination shown?
(a) 30 μF
(b) 10 μF
(c) 40 μF
(d) 25 μF

You have two capacitors, one is 6.0 μF the other is 3.0 μF. You also have some wires and a 9.0 V battery. a) Using the schematic symbols shown later in the lab, draw a diagram of a circuit with the two capacitors connected in series with the battery. Draw a diagram of a circuit using the same battery and capacitors with the capacitors now connected in parallel. Find the equivalent capacitance for each circuit.

Consider the combination of capacitors shown in the diagram, where C1 = 3.00 μF , C2 = 11.0 μF , C3 = 3.00 μF , and C4 = 5.00 μF . (Figure 1)Two capacitors of capacitance C5 = 6.00 μF and C6 = 3.00 μF are added to the network, as shown in the diagram (Figure 2) Find the equivalent capacitance CB of the new network of capacitors. Express your answer in microfarads.

A combination of series and parallel connections of capacitors is depicted in the figure. C1 = 18 μFC2 = 6.09 μFC3 = 1.85 μFFind the total capacitance of the combination of capacitors, in microfarads.

You have two identical capacitors and an external potential source.Compare the maximum amount of charge stored in each case.Q(parallel)/Q(series) =?

Consider the circuit shown below. Assume ε = 19 V.A. What is the charge on 3.0 μF capacitor?B. What is the charge on 4.0 μF capacitor?C. What is the charge on 6.0 μF capacitor?

Part A. What is the equivalent capacitance for the circuit of the figure? (Figure 1) Express your answer to two significant figures and include the appropriate units. Part B. How much charge flows through the battery as the capacitors are being charged? Express your answer to two significant figures and include the appropriate units.

Consider the combination of capacitors shown in the diagram, where C1 = 3.00 μF , C2 = 11.0 μF , C3 = 3.00 μF , and C4 = 5.00 μF . (Figure 1)Find the equivalent capacitance CA of the network of capacitors. Express your answer in microfarads.

Consider the circuit shown in (Figure 1). Assume E = 16 V. What is the charge on 4.0 μF capacitor? What is the charge on 6.0 μF capacitor?

Two or more capacitors are connected in parallel across a potential differenceA. the potential difference across each capacitor is the same.B. each capacitor carries the same amount of charge.C. the equivalent capacitance of the combination is less than the capacitance of any of the capacitors.D. All of the above choices are correct.E. None of the above choices are correct.

Determine the equivalent capacitance between A and B for the group of capacitors in the drawing. Let C1 = 13 µF and C2 = 6.0 µF.

What is the equivalent capacitance of the three capacitors in the figure?

When two or more capacitors are connected in series across a potential difference:a) the potential difference across the combination is the algebraic sum of the potential differences across the individual capacitors.b) the equivalent capacitance of the combination is less than the capacitance of any of the capacitors.c) each capacitor carries the same amount of charge.d) All of the above choices are correct.e) None of the above choices are correct.

In the circuit of Fig. E26.15, each resistor represents a light bulb. Let R1 = R2 = R3 = R4 = 4.50 Ω and E = 9.00 V. (a) Find the current in each bulb. (b) Find the power dissipated in each bulb. Which bulb or bulbs glow the brightest?

A combination of series and parallel connections of capacitors is shown in the figure. The sizes of these capacitors are given by the follow data:C1 = 4.1 μFC2 = 3.2 μFC3 = 7.7 μFC4 = 1.6 μFC5 = 0.65 μFC6 = 13 μF Find the total capacitance of the combination of capacitors in microfarads.

You need a capacitance of 50 μF, but you don't happen to have a 50 μF capacitor. You do have a 30 μF capacitor. A. What additional capacitor do you need to produce a total capacitance of 50 μF B. Should you join the two capacitors in parallel or in series?

In the figure are shown three capacitors with capacitances C1 = 6.00 μF, C2 = 3.00 μF, C3 = 5.00 μF. The capacitor network is connected to an applied potential Vab. After the charges on the capacitors have reached their final values, the charge Q2 on the second capacitor is 40.0 μC. A. What is the charge Q1 on capacitor C1?B. What is the charge on capacitor C3? C. What is the applied voltage, Vab?

Consider the combination of capacitors shown in the diagram, where C1 = 3.00uF, C2 = 11.0 uF, C3 = 3.00 uF, and C4 = 5.00uF. Find the equivalent capacitance CA of the network of capacitors. Express your answer in microfarads.

A) Consider the combination of capacitors shown in the diagram, where C1 = 3.00 μF, C2 = 11.0 μF, C3 = 3.00 μF, and C4 = 5.00 μF.Find the equivalent capacitance CA of the network of capacitors. Express your answer in microfarads.B) Two capacitors of capacitance C5 = 6.00 μF and C6 = 3.00 μF are added to the network, as shown in the diagram. Find the equivalent capacitance CB of the new network of capacitors.

The switch S is closed for a long time and charges the capacitors. There is a dielectric k in C3. Find the charge and potential on each capacitor.

A. What is the charge on each capacitor in the figure? Enter your answers numerically separated by commas.B. What is the potential difference across each capacitor in the figure? Enter your answers numerically separated by commas.

In the figure (Figure 1), each capacitor has 4.30 μF and Vab = 32.0 VPart A: Calculate the charge on capacitor C1.Part B: Calculate the potential difference across capacitor C1Part C: Calculate the charge on capacitor C2.Part D: Calculate the potential difference across capacitor C2.Part E: Calculate the charge on capacitor C3.Part F: Calculate the potential difference across capacitor C3.Part G: Calculate the charge on capacitor C4.Part H: Calculate the potential difference across capacitor C4Part I: Calculate the potential difference between points a and d

Six identical capacitors with capacitance C are connected as shown in the figure (Figure 1) What is the equivalent capacitance of these six capacitors?

Describe the effective capacitance when capacitors are connected in series and in parallel.Match the words (a, b, or c) to the appropriate blanks.(1) When capacitors are connected in series, the effective capacitance is ___________ the smallest capacitance.(2) When capacitors are connected in parallel, the effective capacitance is ____________ the largest capacitance.(a) less than(b) equal to(c) greater than

When capacitors are connected in parallel, they have the samea) separationb) chargec) dielectricd) voltagee) surface area

Two capacitors, C1 and C2, are connected in series across a source of potential difference. With the potential source still connected, a dielectric is now inserted between the plates of capacitor C1. What happens to the charge on capacitor C2?A. The charge on C2 decreases.B. The charge on C2 remains the same.C. The charge on C2 increases.

Consider the circuit shown in (Figure 1). Assume E = 16 V. What is the charge on 3.0 μF capacitor? Express your answer with the appropriate units.

In the animation below, there are initially two capacitors and a battery connected in parallel. You can add up to two more parallel capacitors. Instructions: Use the blue sliders to adjust the battery voltage and individual capacitance values. Click the "add capacitor" box to add up to two more capacitors. Explore The capacitors in this animation are all connected in parallel. Circuit elements connected in parallel always have the same voltage. Since these capacitors are all connected in parallel with the battery, each has a voltage equal to the battery voltage. Capacitance is given by where Q is the charge on the capacitor's positive plate and V is the voltage across the capacitor. C= Q/V Capacitors connected in parallel can be replaced by an equivalent capacitor given by the following equation. C_eq = C_1 + C_2 + C_3 + ... Multiplying both sides of this equation by V results in the next equation. Q_eq = Q_1 + Q_2 + Q_3 + ... Thus, replacing the individual capacitors with C_eq causes the same amount of current to flow across the battery terminals. In each case below, three capacitors are connected in parallel across a 3 V battery. Part (a) uses capacitance values that can be set with the animation sliders, and you can use the animation to verify your calculation. Part (b) uses capacitance values outside the animation range. In each case, calculate C_eq and Q_eq. C_1 = 10 pF, C_2 = 6 pF, and C_3 = 2 pF. In each case below, three capacitors are connected in parallel across a 3 V battery. Part (a) uses capacitance values that can be set with the animation sliders, and you can use the animation to verify your calculation. Part (b) uses capacitance values outside the animation range. In each case, calculate C_eq and Q_eq. C_1 = 10 pF, C_2 = 6 pF, and C_3 = 2 pF. C_1 = 15 pF, C_2 = 11 pF, and C_3 = 11 pF.

Six identical capacitors with capacitance C are connected as shown in the figure (Figure 1) What is the potential difference between points a and b?

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