Question

An instrument shoots out a beam of electrons. Beam current is 10 microampere. How many electrons
strike the instrument each second? How much charge strikes it in one minute?
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Answer 1

Answer:

...........................

Answer 2

Number of electrons $6.25\times 10^{13}$

Charge, $6\times 10^{-4}\ C$

Explanation:

Given that,

Current, $I=10\ \mu A=10\times 10^{-6}\ A=10^{-5}\ A$

Let n electrons strike the instrument each second. Using quantization of electric charges as :

$q=ne$

But,

$I=\dfrac{q}{t}\\\\q=It$

So,

$It=ne$

n is the number of electrons

$n=\dfrac{It}{e}\\\\n=\dfrac{10^{-5}\times 1}{1.6\times 10^{-19}}\\\\n=6.25\times 10^{13}$

The charge strike in 1 minute or 60 seconds will be :

$q=It\\\\q=10^{-5}\times 60\\\\q=6\times 10^{-4}\ C$

Hence, this is the required solution.

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