Question

A parallel-plate capacitor made of circular plates of radius 25 cm separated by 0.20 cm is...

A parallel-plate capacitor made of circular plates of radius 25 cm separated by 0.20 cm is charged to a potential difference of 600 Volts by a battery. Then a sheet of polyethylene is pushed between the plates, completely filling the gap between them. How much additional charge flows from the battery to one of the plates when the polyethylene is inserted?

Homework Answers

Answer #1

Charge on capacitor before inserting polyethylene sheet will be:

Q0 = C0*V0

Q0 = (e0*A/d)*V0

A = Area of plates of capacitor = pi*r^2 = pi*0.25^2 = 0.196 m^2

d = separation distance between plates = 0.20 cm = 0.002 m

V0 = 600 V

e0 = permittivity of free space = 8.854*10^-12

So,

Q0 = 8.854*10^-12*0.196*600/0.002

Q0 = 5.21*10^-7 C

Now when polyethylene sheet is inserted between the plates, then new charge on plates will be:

Q1 = C1*V1

V1 = V0, since battery is still connected

C1 = New capacitance = k*C0

k = dielectric constant of polyethylene = 2.6

Q1 = k*C0*V0

Q1 = k*Q0 = 2.6*5.21*10^-7 C

Now additional charge flow will be:

dQ = Q1 - Q0

dQ = 2.6*5.21*10^-7 - 5.21*10^-7

dQ = 1.6*5.21*10^-7

dQ = 8.34*10^-7 C = additional charge flow

Let me know if you've any query.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A parallel-plate capacitor made of half-circular plates of radius 10 cm separated by 1.50 mm is...
A parallel-plate capacitor made of half-circular plates of radius 10 cm separated by 1.50 mm is charged to a potential difference of 600 volts by a battery. Then a sheet of tantalum pentoxide is pushed between the plates, completely filling the gap between them. How much additional charge flows from the battery to one of the plates when the tantalum pentoxide is inserted? Dielectric constant for some materials: mylar 3.1 polyethylene 2.6 polyvinyldifluoride 11. tantalum pentoxide 25. Teflon 2.1
A parallel-plate capacitor made of half-circular plates of radius 10 cm separated by 1.50 mm is...
A parallel-plate capacitor made of half-circular plates of radius 10 cm separated by 1.50 mm is charged to a potential difference of 600 volts by a battery. Then a sheet of tantalum pentoxide is pushed between the plates, completely filling the gap between them. How much additional charge flows from the battery to one of the plates when the tantalum pentoxide is inserted? Dielectric constant for tantalum pentoxide: 25
A parallel-plate capacitor made of half-circular plates of radius 10 cm separated by 1.50 mm is...
A parallel-plate capacitor made of half-circular plates of radius 10 cm separated by 1.50 mm is charged to a potential difference of 600 volts by a battery. Then a sheet of tantalum pentoxide is pushed between the plates, completely filling the gap between them. How much additional charge flows from the battery to one of the plates when the tantalum pentoxide is inserted? Dielectric constant for some materials: tantalum pentoxide 25.
7. A parallel plate capacitor is made of two circular plates of 25 cm radius separated...
7. A parallel plate capacitor is made of two circular plates of 25 cm radius separated by 2.5 mm of air. The charge on each plate of the capacitor when charges to 750V is: (A) 0.84 μC (B) 0.52 μC (C) 0.24 μC (D) 0.045 μC (E) None of the above
1.) A parallel-plate capacitor is constructed from two circular plates with diameter 5.0 cm separated by...
1.) A parallel-plate capacitor is constructed from two circular plates with diameter 5.0 cm separated by 0.20 mm. What charge will collect on the plates if the capacitor is connected to a potential difference of 35.0 V? 2.)The capacitor from the previous problem is now disconnected from the voltage source. The separation between the capacitor plates is quadrupled and an insulator is inserted between the plates. The voltage between the plates is measured to be 68.3 V. Find the dielectric...
A parallel plate capacitor is made from two plates 7 cm^2 in area, with a plate...
A parallel plate capacitor is made from two plates 7 cm^2 in area, with a plate separation of 3 mm. The capacitor is fully charged across a 30 V battery, and then disconnected. How much charge is on the capacitor? Now material with a dielectric constant of 30 is inserted to fill the space between the plates, (with the battery disconnected), What is the charge on the capacitor? What is the energy stored in the capacitor? What the field between...
A parallel plate capacitor consists of two circular plates of radius R and thickness t, separated...
A parallel plate capacitor consists of two circular plates of radius R and thickness t, separated by a distance d. The gap between the plates is filled with polystyrene (κ=2.5) and the capacitor is connected to a 1.5 V battery. Quantitatively explain how (i.e. by what factor) the capacitance AND stored energy would change given the following modifications. (Take each part on is own, not as a series of events!) (a) Halving the plate separation. (b) Removing the polystyrene so...
A parallel-plate capacitor has capacitance CC = 12.5 pFpF when the volume between the plates is...
A parallel-plate capacitor has capacitance CC = 12.5 pFpF when the volume between the plates is filled with air. The plates are circular, with radius 3.00 cmcm. The capacitor is connected to a battery and a charge of magnitude 25.0 pCpC goes onto each plate. With the capacitor still connected to the battery, a slab of dielectric is inserted between the plates, completely filling the space between the plates. After the dielectric has been inserted the charge on each plate...
Consider a parallel plate capacitor with plate dimensions of 10 cm x 10 cm and a...
Consider a parallel plate capacitor with plate dimensions of 10 cm x 10 cm and a gap spacing of 2.00 cm. The capacitor is connected to a battery supplying a voltage across the capacitor of 2.00 kV. After the capacitor is fully charged, the battery is disconnected. A dielectric material is then inserted into the vacuum space to completely fill the capacitor. This result in a decrease of the capacitor voltage to 1.00 kV. a.Find the vacuum electric field between...
A parallel-plate capacitor is constructed of plates with area 2.5 m2 that are separated by 0.5...
A parallel-plate capacitor is constructed of plates with area 2.5 m2 that are separated by 0.5 mm of air (dielectric constant Ka = 1:0006). The capacitor is connected to a 9 V battery and fully charged. The battery is then disconnected, and quartz is inserted to ll the gap between the plates (dielectric constant Kq = 4:3). Determine whether the energy density of this capacitor increased or decreased when the quartz was inserted, and by how much.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT