Two Dielectric Materials in Capacitor

AI Thread Summary
The discussion focuses on calculating the total capacitance of a capacitor with two parallel dielectric materials, each occupying half the space. The relevant equation for capacitance is C = Aε₀k / d, where k represents the dielectric constant. The user initially attempted to find the capacitor's length and apply the formula but realized that the two dielectrics should be treated in series, leading to the use of C = C1 + C2. The correct approach involves using d/2 for each dielectric's thickness in the calculations. Ultimately, the user confirmed their answer after adjusting their method to account for the series configuration of the dielectrics.
arl146
Messages
342
Reaction score
1

Homework Statement


A capacitor consisting of two parallel plates of area A = 7.3 m2 and spacing d = 0.150 m is filled with two parallel slabs of dielectric material of equal thickness and with dielectric constants 1 = 3.20 and 2 = 7.50, respectively. What is the total capacitance?

k1 fills the top half, k2 fills the bottom half. each are d/2 thick


Homework Equations


C=Ae0k / d


The Attempt at a Solution


I tried to find the length of the capacitor using A=length*d so the length would be A/d
and used that for A in the equation. I think I should be using C= C1 + C2 so both equations are the same except different k's
not sure if this is the right approach. i also used d as d/2 for each individual dielectric
 
Physics news on Phys.org
forgot its in series. got my answer!
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Thread 'Trying to understand the logic behind adding vectors with an angle between them'
My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h. So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
Back
Top