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48. (a) Voltage is proportional to inductance (by Eq. 3035) just as, for resistors, it is
proportional to resistance. Now, the (independent) voltages for parallel elements are
equal (
V
1
=
V
2
), and the currents (which are generally functions of time) add (
i
1
(
t
) +
i
2
(
t
)
=
i
(
t
)). This leads to the Eq. 2721 for resistors. We note that this condition on the
currents implies
di t
dt
di t
dt
di t
dt
12
bg
+=
.
Thus, although the inductance equation Eq. 3035 involves the rate of change of current,
as opposed to current itself, the conditions that led to the parallel resistor formula also
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Current, Inductance, Resistance

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