A parallel plate capacitor has plates of area \( A = 5.50 \times 10^{-2} \, \text{m}^2 \) separated by a distance \( d = 2.37 \times 10^{-4} \, \text{m} \). The permittivity of free space is \( \varepsilon_0 = 8.85 \times 10^{-12} \, \text{C}^2/(\text{N} \cdot \text{m}^2) \).**(a)** Calculate the capacitance (in F) if the space between the plates is filled with air.- **Answer:** \( 2.05 \times 10^{-9} \, \text{F} \) ✔️**What is the capacitance (in F) if the space is filled half with air and half with a dielectric of constant \( \kappa = 2.30 \) as in figure (a), and figure (b)?** (Hint: One of the capacitors is a parallel combination and the other is a series combination.)- **(b) Figure (a):** \( 2.85 \times 10^{-9} \, \text{F} \) - **(c) Figure (b):** \( 1.90 \times 10^{-16} \, \text{F} \) ❌### Explanation of FiguresFigures (a) and (b) illustrate two scenarios with a parallel plate capacitor:- **Figure (a):** Shows the capacitor with half of the region filled with a dielectric material having a dielectric constant \( \kappa = 2.30 \) and the other half filled with air. This setup leads to a parallel combination of capacitors.- **Figure (b):** Displays the capacitor with a similar division between air and dielectric but arranged in a manner that leads to a series combination of capacitors. The gray plates labeled \( A \) are the conducting plates, and the area between them is sectioned with the dielectric \( \kappa \) in yellow. The separation distance \( d \) is indicated between the plates.

Answered: Image /qna-images/answer/9ac83bee-2cdf-4369-885b-8b61d55df4ae.jpg

A parallel plate capacitor has plates of area A = 5.50 x 10-² m² separated by distance d = 2.37 x 10-4 m. (The permittivity of free space is = 8.85 x 10-12 c²/(N m²).) |HINT (a) Calculate the capacitance (in F) if the space between the plates is filled with air. 2.05e-9 ✓ F What is the capacitance (in F) if the space is filled half with air and half with a dielectric of constant x = 2.30 as in figure (a), and figure (b)? (Hint: One of the capacitors is a parallel combination and the other is a series combination.) (b) figure (a) 2.85e-9 (c) figure (b) 1.90e-16 ✓ F X F A K b A 4

A parallel plate capacitor has plates of area A = 5.50 x 10-² m² separated by distance d = 2.37 x 10-4 m. (The permittivity of free space is = 8.85 x 10-12 c²/(N m²).) |HINT (a) Calculate the capacitance (in F) if the space between the plates is filled with air. 2.05e-9 ✓ F What is the capacitance (in F) if the space is filled half with air and half with a dielectric of constant x = 2.30 as in figure (a), and figure (b)? (Hint: One of the capacitors is a parallel combination and the other is a series combination.) (b) figure (a) 2.85e-9 (c) figure (b) 1.90e-16 ✓ F X F A K b A 4

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

To appreciate the size of a 1 [F] capacitor, consider a parallel-plate capacitor filled with air and a separation of 1 [mm]. Find the area needed to provide 1 [F] capacitance. -Use numbers when answering, rounding to the hundredths in the format 0.00 -Input your answers in units of [km²] X 112,994.35
How large should a capacitor be for it to have a capacitance of 1F if the distance between its plates is 1mm?
The plates of a parallel plate capacitor are 3.28mm apart, and have an area of 12.2cm². Each plate carries a charge of magnitude 4.35x10–³ C. The plates are in vacuum. What is the capacitance jn microfarad?
Consider a charged conducting sphere made up of polyethylene (εr = 2.26) with a radius 43 cm. If a charge is uniformly distrubuted over its surface, what is its capacitance, in fF? final answer is in fF
What is the capacitance in units of micro-Farads of a parallel plate capacitor having plates of area 1.25 m2 that are separated by 0.0241 mm of a film with a dielectric constant = 5.8?
Determine smallest plate area for s Myler-filled parallel plate capacitor with a capacitance C = 0.6 nF that can withstand Max potential difference of 1000V before it breakes down. The dielectric constant of Mylar is 3.2 and the dielectric strength of myler is 7.0*10^6 V/m.
A l-megabit computer memory chip contains many 60.0 X 10-15-F capacitors. Each capacitor has a plate area of 21.0 X 10-12 m. Determine the plate separation of such a capacitor. (Assume a parallel-plate configuration.) The diameter of an atom is on the order of 10-10 m 1 Å. Express the plate separa- tion in angstroms.
9d K1=5 5d 8d 15d 15d 2d » K2=2 Two dielectric slabs with dielectric constants, K, and K2 are placed in parallel plate capacitor as shown in fig. Plates of the capacitor and both slabs have the same width of 15d. If the capacitance of the capacitor before slabs are inserted is Co, What is the capacitance of capacitor with slabs in terms of Co ?
A capacitor is constructed from two square, metallic plates of sides ℓ and separation d. Charges +Q and -Q are placed on the plates, and the power supply is then removed. A material of dielectric constant κ is inserted a distance x into the capacitor as shown in the figure below. Assume d is much smaller than x. Suggestion: The system can be considered as two capacitors connected in parallel. (Use the following as necessary: ε0, κ, ℓ, Q, d, and x.) (a) Find the equivalent capacitance of the device.Ceq = (b) Calculate the energy stored in the capacitor.U =
ह s/enol b) 3.9 x 10 2) A A 3.3 cm diameter parallel plate capacitor has a Sant ni Muspiryगर Supods 7.0×10" "mo How much charge is on each plate DarCIXES (V - 10 01x22 01-01XSil (5 2.3.mm D) 2.7x10C
A large capacitance of 2.00mF is needed for a certain application. (a) Caloulate the area the parallel plates of such a capacitor must have if they are separated by 4.00 μm of Tefion _____m2
(a) How much charge is on each plate of a 6.00-μF capacitor when it is connected to a 11.0-V battery? με (b) If this same capacitor is connected to a 1.00-V battery, what charge is stored? μC