Homework Statement
ty'' + y' = 2t2, y(0) = 0Homework Equations
laplace(f''(t)) = s2laplace(f(t)) -sf(0) - f'(0)
(-1) (d/ds) (F(s))The Attempt at a Solution
I know how to solve the problem except for the ty'' part. I tried using the equation and I got -d/ds(s2Y(s) - 0 - f'(0)) which becomes...
Homework Statement
An electron is launched between two parallel, neutral, conducting plates that are each L long and separated by a distance d with a uniform magnetic field of magnitude B permeated between them.
(a) What is the minimum speed the particle must have to traverse the region...
So then the circuit would look like this And now I am back to the problem i was struggling with before is the two 90Ω resistors in parallel or is the capacitor in the the middle stopping it?
I was thinking that since that loop that connects the battery was in the original circuit that the junction that connect to the battery would still be there.
Okay so i redrew it and i found out it was parallel so I did (1/60 + 1/30)-1 = 20Ω but now i am confused on whether the R in the equation is 20Ω or 40Ω since the current goes through the first 20Ω then the capacitor then another 20Ω.
Homework Statement
In the circuit below (drew it the best I can) the switch is opened, how much time elapses before the capacitor loses half of its initial stored energy.Homework Equations
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q(t) = Qe-t/RC
U = q2/2C The Attempt at a Solution
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So first thing I did was I set (1/2)Q2/2C...
So what you are sayings is I take my answer for a E0 = (a2Q0)/4πb4ε0 since b=a when E0 = E I replace b for a so E0 = Q0/4πa2ε0 Then i take that answer for a and plug it into E so I get E = (Q0b4)/4πa6ε0 Than i plug that into guass's law so ε0∫E⋅dA = (ε04πa2Q0b4)/4πa6ε0 = (Q0b4)/a4 so then...
That is typo I meant that when you integrate dQ is comes out to the total charge of Q which is Q0
I am confused on why i would need to find dQ/db or what dQ/db is supposed to be.
That when the sphere is at the maximum of E0 the electrostatic sphere is a distance a from the center of the...