Recent content by Dilemma

Thank you. I now understand that I did not consider the region which is limited by the surface x 2 + y 2 + z = 1.

Here is my reasoning : By polar coordinates definition ##x = r\cos(\theta)## and ##y = r\sin(\theta)##. Therefore, ##x^{2}+y^{2} = r^{2}## I do not see any problem. Also, the answer confirms my logic. The only problem is that the answer divides the integral into two, one of them is from 0 to...

Hello Mark, I am sorry for the inconvenience I caused. I simplified ##r^2 = 2r\sin(\theta)##. Then, I converted parabolaid's surface equation. ##z = 1 - x^{2}-y^{2}## ##z = 1 - r^{2}##

Hello everyone, 1. Homework Statement Question : Find the volume of the region which remains inside the cyclinder x 2 + y 2 = 2y, and is bounded from above by the paraboloid surface x 2 + y 2 + z = 1 and from below by the plane z = 0 Homework Equations The Attempt at a Solution This looks...

Yes, I do know that.

Hello, Here is the question: I can not figure out how we are to apply chain rule to the second order derivative. May somebody clarify that?

I tried to solve your problem calculating the forces acting on the system but then I noticed that you were using the energy changes of the system. However, if I were you, I would introduce a friction force of μ to the system. There is no way this system can stay like that.

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Oops, I have forgotten to include the dx multiplier. Thank you.

Use Gauss's law: ∫E⋅dA = Q / ∈ E ⋅ (2πrL) = λ * L / ∈ where L denotes the imaginary Gaussian surface's length. Therefore, E = λ / (2π∈r) I hope this was helpful.

Hello, 1. Homework Statement Assuming that the dielectric is inserted at a constant rate, find the current I as the slab is inserted. Express your answer in terms of any or all of the given variables V, K, r, d, Δt, and ε0, the permittivity of free space.Homework Equations [/B] C = ε0 * A /...

I believe we will not be covering that in my Phys102 class.

Hello BvU, Which part of the question are you focusing on? As I said, I'm currently trying to calculate the equivalent resistance between the points a and c. Since you pointed out, second part of the question seems pretty straightforward, I shouldn't had that part included in the question...

Thank you so much for your replies. a, b, and c denote the currents passing through each resistor. I'm using Kirchhoff's idea of "The directed sum of the electrical potential differences (voltage) around any closed network is zero "(Wiki). Therefore ε - Ia+b+cReq = 0 I noticed the so-called...

Hello, Circuit: 1. Homework Statement Determine the net resistance between points a and c and a and b. Assume R' ≠ R. Homework Equations ε - IR = 0 V = IR The Attempt at a Solution http://i.imgur.com/Y2KPI20.jpg I applied an emf between the points a and c, and tried to solve using...