Q. 24.8( 4 Votes )

# An electron gun emits 2.0 × 10^{16} electrons per second. What electric current does this correspond to?

Answer :

3.2×10^{-3} A

Given,

The number of electrons emitted=2.0 × 10^{16}

Time, t, in seconds in which 2.0 × 1016 electrons are emitted=1s

Formula Used:

The current flowing from an electron gun or through a circuit, I, due to the movement of charges, q, through it can be expressed as,

Where q is the charge flowing and t is time in seconds.

Also, for n number of electrons, q is

Where e is the charge of 1 electron= 1.6× 10^{-19}C

Hence, in the given problem, the total charge flowing from the gun is, q

And the corresponding current, I is

So the corresponding current is 3.2×10^{-3} A.

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