(See attached file for full problem description)
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1. A parallel-plate air capacitor has a capacitance of 920 pF. The charge on each plate is 2.55µC
a. What is the potential difference between the plates?
b. If the charge is kept constant, what will be the potential difference between the plates if the separation is doubles?
c. How much work is required to double the separation?

2. A parallel-plate capacitor has the space between the plates filled with two slabs of dielectric, one with constant k1 and one with constant k2. Each slab has thickness d/2, where d, is the plate separation. Show that the capacitance is

C = (2E0A/d)( k1 k2/ k1+ k2)

3. The current in a wire varies with the time according to the relation
I = 55 A - (0.65 A/s2)t2

a) How many coulombs of charge pass a cross section of the wire in the interval between t = 0 and t = 8.0s?
b) What constant current would transport the same charge in the same time interval?

4. A complete circuit consists of a 24.0 V battery, a 5.60 omega resistor, and a switch. The internal resistance of the battery is 0.28 omega. The switch is opened. What does an ideal voltmeter read when placed,
a) across the terminal of the battery
b) across the resistor
c) across the switch
d) repeat part a b and c when the switch is closed.

5. A resistor with a 15.0 V potential difference across its ends develops thermal energy at a rate of 327 W.
a) What is its resistance?
b) What is the current in the resistor?

6) Prove that when two resistors are connected in parallel, the equivalent resistance of the combination is always smaller than that of either resistor.

7) Each of the resistors below has a resistance of 2.4 omega and can dissipate a maximum of 36W without becoming excessively heated. What is the maximum power the current can dissipater?
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For the last question I posted, the Key says the answer is 0.50 nF.
How do they get that answer?
P.S. I have Teflon being 2.1 and paper being 3.5
Since the potential between point a and b is the potential between the plates, when a capacitor is half filled with a different dielectric, then we can describe the system as t

1.) You have three capacitors and a battery. How should you combine the capacitors and the battery in one circuit so that the capacitors will store the maximum possible energy?
2.) Because the charges on the plates of a parrallel-plate capacitor are of opposite sign, they attract each other. Hence, it would take positive wo

Two capacitors are connected in parallel. If a third capacitor is connected in parallel with the other two, does the equivalent capacitance increase, decrease, or remain the same? Explain.

A non-ideal capacitor having a 'leaky' dielectric can be modeled by the circuit shown (see attachment), where RL represents the leakage resistance measured across the dielectric. A 100 pF parallel-plate capacitor has a mica dielectric of relative permittivity εr = 12 and resistivity of ρ = 1014 Ω m.
(a)
Calcul

You have three capacitors, of capacitance 1610pF, 7240pF and 0.0270 micro F. What is the maximum capacitance that you can form from these? What is the minimum capacitance that you can form from these?

The plates of a parallel plate air capacitor are 1.2 nm apart and area of each plate is 20 x 10^-4 m^2.
Find the capacitance.
It is connected to a 40 V battery.
(i) What is the charge on each plate?
(ii) What is the energy stored in the capacitor?
Repeat the calculations for the same capacitor with the air gap re

(See attached file for full problem description)
A 3.00 uF and a 5.00 uF capacitor are connected in series across a 30.0 V battery. A 7.00 uF capacitor is then connected in parallel across the 3.00 uF capacitor. Determine the voltage across the 7.00 uF capacitor.
Please include a diagram of the circuit.

Three capacitors each with capacitance C and a parallel combination of two resistances R each are connected in series with an ideal battery of emf V as in figure.
a) What is the time constant of the circuit?
b) If the switch is closed at time t = 0; find an expression for the current in the circuit as a function of time.
c)

Please see attached files.
Please place step by step solutions and answers on separate piece of paper and give answer please. Draw pictures if needed. PLEASE DO all questions, again show all math, diagrams, etc. and only first 5 problems
1. Figure 25-19 shows plots of charge versus potential difference for three parallel

Two condensers are connectedin series across a 100V supply and is found that the potential difference across A is 60V. A condenser of 2mf capacitor is now connected in parallel with A and the potential difference across B rises to 90V. Then the capacitors of A and B are respectively (a) 0.24mf, 0.16mf (b)).16mf,0.24mf (c) 1.6