ENGINEER 1P03 Lecture Notes - Lecture 12: Multipole Expansion, Surface Charge, Dielectric

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graybeetle998

19 Nov 2017

School

McMaster University

Department

Engineering (General)

Course

ENGINEER 1P03

Professor

Robert Fleisig

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ENGINEER 1P03 Full Course Notes

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Can be used to solve for potential at any point where charge density is zero. 1 (cid:2161) =(cid:2026)(cid:2013)0(cid:2196) just outside conductor since (cid:2161) = 0 inside surface charge density of conductor: (cid:2026) = (cid:2013)0(cid:2034)(cid:1848)(cid:2034)(cid:1866) (cid:1842) =(cid:2013)0. Energy stored in capacitor / energy needed to charge up a capacitor: Review examples in notes and in book: grounded infinite plane (page 121, grounded conducting sphere (page 124) Induced surface charge: (reminder from chapter 2) (cid:2026) = (cid:2013)0(cid:2034)(cid:1848)(cid:2034)(cid:1866) Learn the following pages and all the e(cid:454)a(cid:373)ples i(cid:374) the(cid:373) . Usually the form of solution is given. What you need to do is to come up with boundary conditions, plug in, and match and solve for fourier coefficients. Spherical: pages 137-144 (cid:1848) (cid:1870), = (cid:1827)(cid:1864)(cid:1870)(cid:1864) + (cid:1828)(cid:1864)(cid:1870)(cid:1864)+1 (cid:1842)(cid:1864) cos (cid:1864)=0 (cid:1842)0 = 1 (cid:1842)1 = Cylindrical: page 145, problem 3. 23 (cid:1848) (cid:1871), =(cid:1853)0 +(cid:1854)0 ln(cid:1871)+ (cid:1871)(cid:1863) (cid:1853)(cid:1863) cos(cid:1863) +(cid:1854)(cid:1863) sin(cid:1863) +(cid:1871) (cid:1863) (cid:1855)(cid:1863) cos(cid:1863) +(cid:1856)(cid:1863) sin(cid:1863)

Related Questions

The voltage across a 5 μF capacitor is known to be Vfort≥0 , where t is in seconds.

Part B

Find the power at the terminals of the capacitor when t = 185 μs .

Part D

Find the energy stored in the capacitor at t = 185 μs

Part E

Find the time when the maximum energy stored in the capacitor occurs.

Part F

Find the maximum energy stored in the capacitor

greensea-lion330

1. Calculate the quantity of heat energy which must be transferred to 2.25 kg of brass to
raise its temperature from 20 ℃ to 240 ℃ if the specific heat of brass is 394 J.kg-K.

2. Find the change in temperature produced by 10 kJ of heat energy added to 500 g
copper. Specific heat of copper 0.39 kJ/kg-K.

3. Explain why, for a gas, the specific heat at constant volume has a different value
from the specific heat at constant pressure.
An ideal gas is contained in a cylinder fitted with a piston. Initially the temperature of the
gas is 15℃. If the mass of the gas is 0.035 kg, calculate the quantity of heat energy
required to raise the temperature of the gas to 150 ℃ when:
(a) The piston is fixed;
(b) The piston moves and the pressure is constant.
For the gas, 𝑐𝑣 = 676 J/kg-K and 𝑐𝑝 = 925 J/kg-K.

iwarattantiloy