Class Notes for Electrical and Computer Engineering at University of Waterloo

Example 3 An infinite wire has been bend. Calculate B at point P. Has no symmetry. We cannot use Amperes Law. Let us see what happens for OB, |dl r|...

So for semiinfinite wire AO, 0 0 dl r dB = 4 r2 is nothing but equal to 1 0 dl r 2 4 r2 0I But for an infinite wire we have B = 2r from Amperes Law. B for semiinfinite wire is: 1 B = B infinite 1 0 0 = = 2 2r 4r for r = d ...

From example 1, 0J 0 B = r 1 1 1 0 0 B = r 2 2 2 2 B = B +1B 2 0 0 0J 0 B = r11 r 22 2 2 But 1nd are2vectors on two different origins. = z r This is same on both origins O and O. 1 z r1 2 z r2 J J B = 0 0 r ( ) 0 0r (z ) 2...

Because z = y. Therefore B is: 190

Example 1 Magnetic field of a cylindrical conductor. An infinite long cylindrical conductor is carrying current I and has radius a. Calculate B for r< a and r a. I J = a 2 Cylindrical symmetry. So the closed loop is as sho...

Let us consider the line AA, dB due to element on left and right are shown. So at P, dB is in (y ) direction. 163

So, consider this: By Amperes Law: I B dl = I0 enc Bl f r oAB + 0 f r oB C + Bl f r omC D+ 0 f r oD A = 0 0l 2Bl = J 0 0 0J0 B = 2 J B = 0 0 ( y) z > 0 2 B = 0 0 () z < 0 2 164

1. For z =0. 0 2 3 0 B = i R R = (8.20) ...

dB dB dB ...

dU By definition, power is consumed (or flow) per unit time, i.e. P = dt= iV ab. If we use resister for power consumption P =iV = i(iR) = i R (7.2...

l I V Figure 7.4: Current through a resistor. If A is small, we can make uni...

For r a B 2r = I 0enc = 0 0I B = ...

In a perfect conductor (metal) there is only one type of carrier free electronsine charge). Total charge in the sample of length l, Q = (nAl)e (7.7) If this amount of charge goes through the cross section in t sec, then by...

idl dl R l P Bisecting line Figure 8.2: Example 1. Note: This direction will be the same for every current element located along the wire. So the vector summation of magnetic field contribution at P from all the current el...

For R < R i I D ds = Q Q D = ...

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Electrical Engineering GLOSSARY OF TERMS ...

This Guide is another one of the many products that effectively advances one’s knowledge of a distinct aspect of the physical sciences. The basic of the properties of electricity and electrical circuits are established in ...

permacharts TM E le c t r o n ic sI Waveforms Diodes ...

permacharts TM E le c t r o n ic sII Operational Amplifiers (OP AMPS) ...