Question

The current in the electron beam producing a picture on a typical video display
terminal is 200 μA. How many electrons strike the screen each second?
( Show your solution)

Answer 1

We are given:

The current in the beam,

I

=

190

μ

A

=

190

×

10

−

6

A

=

1.90

×

10

−

4

A

The electric current is defined as the charge flowing per unit time through a cross-section. If

Q

is the charge that has flown through the surface in time

Δ

t

, then the current through the surface is given by the equation:

I

=

Q

Δ

t

The net charge striking the screen in

Δ

t

=

1

s

is:

Q

=

I

Δ

t

=

1.90

×

10

−

4

A

×

1

s

=

1.90

×

10

−

4

C

The magnitude of the charge on an electron is:

|

q

e

|

=

1.6

×

10

−

19

C

The number of electrons hitting the screen per second is:

n

=

Total Charge

Charge on an electron

=

1.90

×

10

−

4

C

1.6

×

10

−

19

C

=

1.2

×

10

15

Answer 2

$3.2 \times {10}^{5} electrons$

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