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I~<br />

-.!.-<br />

LR Circuit<br />

Readings on Voltmeter<br />

c, "NY<br />

1<br />

CI = ~~~i~~~~ ~~ ~~ ~~<br />

R I £ - -------------- - . -<br />

c- fR -L~ = O<br />

t~<br />

d,<br />

" •••<br />

-L\<br />

0 ,<br />

S<br />

,<br />

t=O' : Current is trying to change. Inductor works as<br />

hard as it needs to in order to stop it<br />

t=~: Current is steady. Inductor does nothing.<br />

....,.,.<br />

RC Circuit<br />

-L-<br />

I<br />

~ Readings on Voltmeter<br />

c:~---"NY a -Resistor (c-a)<br />

T R £ __-=£~ e?~!tp!_ (!! - b)<br />

.:.L<br />

-L\<br />

~ RC<br />

C I 036t - - - -- i<br />

s 0 "---"';i--=~ ,<br />

t=O': Capacitor is uncharged so resistor sees full<br />

battery potential and current is largest<br />

t=~: Capacitor is "full." No current flows<br />

CQpl1 ( ator" ~II\ . t<br />

vo tl'l0t ,<br />

ddlli,l eS<br />

General Comment: LRIRC<br />

~n Quantitie§j:ither:<br />

--<br />

'.~ ~'~7 ---'<br />

::~<br />

-;---, , ,. ,<br />

Value(/) = Valu"' .... (I-e'''' ) Value(t) := Valueoc- t "<br />

t can be obtaIned from differential equation<br />

(prefactor on d/dt) e.g. T = UR or T = RC<br />

l'lH,<br />

Class 31<br />

6

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