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7
6. (a) The charge
q
that flows past any cross section of the beam in time
∆
t
is given by
q
= i
∆
t
, and the number of electrons is
N = q
/
e =
(
i
/
e
)
∆
t
. This is the number of electrons
that are accelerated. Thus
N
=
×
×
=×
−
−
(.
.
..
050
160 10
31 10
6
19
11
A)(0.10 10
s)
C
(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
.
Now
q = i
∆
t
= (0.50 A) (0.10
×
10
–6
s) = 5.0
×
10
–8
C, so
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 Spring '10
 Rebello,NobelS
 Charge

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