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41. (a) The charge
q
that ﬂows past any cross section of the beam in time ∆
t
is given by
q
=
i
∆
t
,andthe
number of electrons is
N
=
q/e
=(
i/e
)∆
t
. This is the number of electrons that are accelerated.
Thus
N
=
(0
.
50 A)(0
.
10
×
10
−
6
s)
1
.
60
×
10
−
19
C
=3
.
1
×
10
11
.
(b) Over a long time
t
the total charge is
Q
=
nqt
,where
n
is the number of pulses per unit time and
q
is the charge in one pulse. The average current is given by
i
avg
=
Q/t
=
nq
.N
ow
q
=
i
∆
t
=
(0
.
50 A)(0
.
10
×
10
−
6
s) = 5
.
0
×
10
−
8
C, so
i
avg
=(500
/
s)(5
.
0
×
10
−
8
C) = 2
.
5
×
10
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics, Charge

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