(a) A 2.75 µF capacitor and a 7.75 µF capacitor are connected in series across a 7.00 V battery. How much charge (in µC) is stored on each capacitor? 2.75 µF capacitor__________ µC 7.75 µF capacitor__________ µC (b) The same two capacitors are disconnected and discharged. They are then connected in parallel across the same battery. How much charge (in µC) is stored on each capacitor now? 2.75 µF capacitor__________ µC 7.75 µF capacitor__________ µC
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A: Potential of battery (V) = 9 Volts C1 = 26.60 μF C2 = 20.60 μFC = 6 μF
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- For the circuit shown in the figure below, the capacitors were each discharged before being connected to the voltage source V = 236 V. 4.0 μF | 12.0 µF V 15.0 μF (a) Find the equivalent capacitance of the combination. µF (b) Find the charge stored on the positively charged plate of each capacitor. 15.0 yF сараcitor µč 4.0 MF саpacitor µč 12.0 µF capacitor µČ (c) Find the voltage across each capacitor. 15.0 µF capacitor V 4.0 µF capacitor V 12.0 µF capacitor V (d) Find the energy stored in each capacitor. 15.0 pF саpаcitor mJ 4.0 µF capacitor mJ 12.0 pF сараcitor mJ еВookProblems 21-15 refer to the following diagram and situation. In the circuit below, AV bat = 12.0 V and the capacitors have the values shown below. 8.60 μF HHE 4.80 μF 6.20 μF 11.8 με HH Problem 21: What is the charge on the 8.60 μF capacitor? a. 16.3 μC b. 26.3 μC Problem 22: What is the charge on the 4.80 µF capacitor? a. 16.3 μC b. 26.3 μC Problem 23: What is the charge on the 6.20 μF capacitor? a. 14.1 μC b. 24.1 μC Problem 24: What is the charge on the 11.8 μF capacitor? a. 14.1 μC b. 24.1 μC Problem 25: What is the charge on the 3.50 µF capacitor? a. 12.2 μC b. 22.2 μC 3.50 μF ㅓㅏ AV bat c. 36.3 μC c. 36.3 μC c. 34.1 μC c. 34.1 μC c. 32.2 μC d. 44.1 μC d. 44.1 μC d. 44.1 μC d. 44.1 μC d. 42.2 μCFour capacitors are connected as shown in the figure below. (C = 18.0 μF.) C 3.00 με th a 6.00 με |20.0 με HH i (a) Find the equivalent capacitance between points a and b. μF (b) Calculate the charge on each capacitor, taking AV ab 20.0 μF capacitor 6.00 μF capacitor 3.00 µF capacitor capacitor C 9999 HC HC HC - = 20.0 V.
- Given a 1.25-µF capacitor, a 6.00-μF capacitor, and a 12.00-V battery, find the charge on each capacitor if you connect them in the following ways. (a) in series across the battery 15.72 x 1.25-µF capacitor Your response differs from the correct answer by more than 10%. Double check your calculations. μC 6.00-μF capacitor μC (b) in parallel across the battery 1.25-μF capacitor 6.00-μF capacitor с нсConsider the circuit shown in the figure, with C₁ = 5.02 μF and C₂ = 6.64 μF. 2.00 µF 6.00 uF + 90.0 V C₂ (a) Find the equivalent capacitance (in µF) of the system. 4.27 μF (b) Find the charge (in µC) on each capacitor. 5.02 µF capacitor HC 6.00 μF capacitor με 6.64 μF capacitor 2.00 μF capacitor με μC (c) Find the potential difference (in V) on each capacitor. 5.02 μF capacitor 6.00 μF capacitor 6.64 μF capacitor 2.00 μF capacitor V (d) Find the total energy (in mJ) stored by the group. mJTwo capacitors are connected in series between the terminals of a 40.0-V battery. If their capacitances are 42.5 μF and 48.5 μF, determine the following. (a) the equivalent capacitance of the system μF (b) the magnitude of charge stored on each plate of either capacitor C (c) the voltage across the 42.5 μF capacitor (Give your answer to at least one decimal place.) V (d) the voltage across the 48.5 μF capacitor V
- Find the following. (In the figure use C1 = 37.80 µF and C2 = 31.80 µF.) (a) the equivalent capacitance of the capacitors in the figure above µF(b) the charge on each capacitor on the right 37.80 µF capacitor µC on the left 37.80 µF capacitor µC on the 31.80 µF capacitor µC on the 6.00 µF capacitor µC (c) the potential difference across each capacitor on the right 37.80 µF capacitor V on the left 37.80 µF capacitor V on the 31.80 µF capacitor V on the 6.00 µF capacitor VTwo capacitors, C1 = 17.0 ?F and C2 = 30.0 ?F, are connected in series, and a 18.0-V battery is connected across them. (a) Find the equivalent capacitance, and the energy contained in this equivalent capacitor. equivalent capacitance _______?F total energy stored ________J (b) Find the energy stored in each individual capacitor. energy stored in C1 _______J energy stored in C2 _______J (c) If the same capacitors were connected in parallel, what potential difference would be required across them so that the combination stores the same energy as in part (a)? __________V1
- Consider the circuit shown in the figure, with C₁ = 5.42 μF and C₂ = 7.84 μF. 2.00 μF 6.00 µF + 90.0 V C₂ (a) Find the equivalent capacitance (in µF) of the system. μF (b) Find the charge (in µC) on each capacitor. 5.42 μF capacitor 6.00 μF capacitor 7.84 μF capacitor 2.00 μF capacitor μC μC μC HC i (c) Find the potential difference (in V) on each capacitor. 5.42 μF capacitor V 6.00 μF capacitor V 7.84 μF capacitor 2.00 μF capacitor V (d) Find the total energy (in mJ) stored by the group. mJE11P1The circuit in the figure below contains a 90.0 V battery and four capacitors. In the top parallel branch, there are two capacitors, one with a capacitance of C, = 6.00 uf and another with a capacitance of 6.00 uF. In the bottom parallel branch, there are two more capacitors, one with a capacitance of 2.00 uF and another with a capacitance of C, = 8.00 pF. 6.00 uF 2.00 uF 90.0 V (a) What is the equivalent capacitance (in uF) of the entire circuit? (b) What is the charge (in uC) on each capacitor? on C, on C2 on the 6.00 uF capacitor pc on the 2.00 uF capacitor (c) What is the potential difference (in V) across each capacitor? across C, across C, V across the 6.00 µF capacitor across the 2.00 pF capacitor