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Quantitatively,
W = VK = ERK/(r + R), which has no maximum, with increasing R. The highest
value approached with increasing R is W = EK. ( E is the cell EMF, assumed
constant)
Bob Sciamanda
Physics, Edinboro Univ of PA (Em)
http://www.velocity.net/~trebor/
trebor@velocity.net
----- Original Message -----
From: "Bob Sciamanda" <trebor@VELOCITY.NET>
To: <PHYS-L@lists.nau.edu>
Sent: Wednesday, January 07, 2004 10:11 AM
Subject: Re: Impedance &c.
The total energy delivered is W = V I T = V K, where K is a constant (asthe
load R is varied) and V is the terminal voltage (across R).R,
1) If the cell is ideal (r= 0) then both V and K are constant as we vary
and so W = VK is independent of RW
2) If the cell is non-ideal (has r>0), then if we
a) lower R, I will increase, K will stay fixed, and V will decrease => W =
VK decreases.
b) increase R, I will decrease, K will stay fixed, and V will increase =>
= VK increases. IE., if r>0 W increases with increasing R - there is no
maximum.
Bob Sciamanda
Physics, Edinboro Univ of PA (Em)
http://www.velocity.net/~trebor/
trebor@velocity.net