Question

The picture tube in a particular television draws a current of 16 A

How many electrons strike the viewing screen every second? (In electrons/s)

Answer 1

The number of electrons per second is $1\cdot 10^{20}$

Explanation:

The current intensity is defined as the amount of electric charge that passes through a given point in a certain time:

$I=\frac{q}{t}$

where

I is the current

q is the amount of charge

t is the time elapsed

Moreover, assuming that the charge carriers are electrons, the charge can be written as

$q=Ne$

where

N is the number of electrons

$e=1.6\cdot 10^{-19}C$ is the charge of one electron

Re-writing the equation,

$I=\frac{Ne}{t}$

Here we have:

I = 16 A

t = 1 s

Therefore, the number of electrons is

$N=\frac{It}{e}=\frac{(16)(1)}{1.6\cdot 10^{-19}}=1\cdot 10^{20}$

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Answer 2

The number of electrons (n) that strike the viewing screen every second is 10,000,000,000‬ electrons/s.

Given the following data:

• Current = 16 Amperes.

• Time = 1 seconds.

Scientific data:

Charge of electron = $1.6 \times 10^{-19}\;C$

To calculate the number of electrons (N) that strike the viewing screen every second:

How to calculate number of electrons.

Mathematically, the quantity of charge per unit time is given by this formula:

$Q =It=Ne\\\\N = \frac{It}{e}$

Where:

• N is the number of electrons.

• t is the time measured in seconds.

• I is the current.

• e is the charge of electrons.

Substituting the parameters into the formula, we have;

$N = \frac{16 \times 1}{1.6 \times 10^{-19}}$

N = 10,000,000,000‬ electrons/s.

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