A 1.05 µF capacitor is connected in series with a 2.02 µF capacitor. The 1.05 µF capacitor carries a charge of +10.5 µC on one plate, which is at a potential of 53.5 V.
(a) Find the potential on the negative plate of the 1.05 µF
capacitor. (use 3 sig figs)
(b) Find the equivalent capacitance of the two capacitors. (use 3
sig figs)
A 1.05 µF capacitor is connected in series with a 2.02 µF capacitor. The 1.05 µF...
A 2.02-µF and a 4.24-µF capacitor are connected to a 55.8-V battery. What is the total charge supplied to the capacitors when they are wired in the following ways? (a) in parallel with each other and (b) in series with each other
16.14 Two capacitors are connected in series with an 30 V battery. The capacitance of capacitor C1 is 12 µF and the capacitor C2 is unknown. The charge on capacitor C2 is 140 µC. a) What is the equivalent capacitance? b) What is the capacitance of capacitor C2? c) What is the voltage of each capacitor?
Two capacitors, C1 = 27.0 µF and C2 = 30.0 µF, are connected in series, and a 15.0-V battery is connected across the two capacitors. (a) Find the equivalent capacitance. µF (b) Find the energy stored in this equivalent capacitance. J (c) Find the energy stored in each individual capacitor. capacitor 1 J capacitor 2 J (d) Show that the sum of these two energies is the same as the energy found in part (b). (e) Will this equality always...
The 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 C1 = 3.00 µF and another with a capacitance of 6.00 µF. In the bottom parallel branch, there are two more capacitors, one with a capacitance of 2.00 µF and another with a capacitance of C2 = 6.00 µF. A circuit consists of a 90.0 V battery and four capacitors. The wire...
Two capacitors, one that has a capacitance of 4 µF and one that has a capacitance of 12 µF are first discharged and then are connected in series. The series combination is then connected across the terminals of a 14-V battery. Next, they are carefully disconnected so that they are not discharged and they are then reconnected to each other--positive plate to positive plate and negative plate to negative plate. (a) Find the potential difference across each capacitor after they...
a) A 19.1 kΩ resistor and a capacitor are connected in series and then a 12.0 V potential difference is suddenly applied across them. The potential difference across the capacitor rises to 3.51 V in 1.49 µs. (i) Calculate the time constant of the circuit. (ii) Find the capacitance of the capacitor. b) The potential difference between the plates of a leaky (meaning that charge leaks from one plate to the other) 2.2 µF capacitor drops to one-fourth its initial...
Consider the following. (Let C1 = 20.80 µF and C2 = 14.80 µF.) A rectangular circuit contains a battery and four capacitors. The bottom side has a 9.00 V battery with the positive terminal on the left. The left and right sides of the circuit each contain a capacitor labeled C1. The top side splits into two parallel horizontal branches, which recombine before reaching the top right corner. There is a 6.00 µF capacitor on the upper branch and a...
Consider the following. (Let C1 = 36.40 µF and C2 = 30.40 µF.) A rectangular circuit contains a battery and four capacitors. The bottom side has a 9.00 V battery with the positive terminal on the left. The left and right sides of the circuit each contain a capacitor labeled C1. The top side splits into two parallel horizontal branches, which recombine before reaching the top right corner. There is a 6.00 µF capacitor on the upper branch and a...
Two parallel-plate capacitors, 4.5 µF each, are connected in series to a 9.3 V battery. One of the capacitors is then squeezed so that its plate separation is halved. Because of the squeezing, (a) how much additional charge is transferred to the capacitors by the battery and (b) what is the increase in the sum of the charges: the charge on the positive plate of one capacitor plus the charge on the positive plate of the other capacitor? Give your...
A student is working with a 2.75-µF capacitor, a 5.25-µF capacitor, and a 6.20-V battery. What is the the charge (in µC) on each capacitor if the student connects the capacitors in the following ways. (a) in series across the battery 2.75-µF capacitor ____ µC 5.25-µF capacitor ____ µC (b) in parallel across the battery 2.75-µF capacitor ____ µC 5.25-µF capacitor ____ µC