Calculating the capacitance of a parallel-plate air capacitor

AI Thread Summary
The discussion centers on calculating the capacitance of a parallel-plate air capacitor with two plates measuring 18 cm on each side and spaced 3.5 mm apart, connected to a 3-V battery. The formula used for capacitance is C = εo(A/d), where εo is the permittivity of free space. Initially, the area was incorrectly interpreted as 18 cm² instead of the correct area of 0.0324 m². After correcting the area, the capacitance calculation was resolved successfully. The final capacitance value reflects the accurate dimensions of the capacitor plates.
shandsy
Messages
5
Reaction score
0

Homework Statement


A parallel-plate air capacitor is made by using two plates 18 cm square, spaced 3.5 mm apart. It is connected to a 3-V battery.

What is the capacitance?


Homework Equations



C = εo(A/d)



The Attempt at a Solution



εo = 8.854e-12
A = .18 m
d = .0035 m

C = εo (.18/.0035) = 4.55348571e-10 F

This is coming up as the wrong answer. I have no idea what I'm doing wrong.
 
Physics news on Phys.org
Never mind, I solved the problem. I read "18 cm square" to mean 18 cm2, but I guess it really meant a square with 18cm sides, so A = .0324 m2. Sorry about that!
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top