"The current traveling from the cathode to the..." solved and explained

College
Physics
Advanced Physics

Wendy Larsen

Answered question

2023-01-06

The current traveling from the cathode to the screen in a television picture tube is #5.0 times 10^-5# ampere. How many electrons strike the screen in 5.0 seconds?

Answer & Explanation

Payncchoiny5p5

Beginner2023-01-07Added 12 answers

Electric current is defined as the net amount of charges moving through a conductor's cross section:
I =

\frac{Q}{t}

Q= charge
I = current
t = time
e = 1.602

\times 10^{- 19}

C, charge carried by one electron.
The total amount of charges crossing an a cross-section is:
Q = I t
Since each electron carries only 1 e charge, then there must be

\frac{Q}{e}

electrons:
Number of electrons =

\frac{Q}{e} = \frac{I t}{e}

Whothoromapyfb

Beginner2023-01-08Added 1 answers

We have:

\frac{5.00 \times 10^{- 5} A}{1}

An ampere is defined as

1 A = (1 C/s)

\frac{5.00 \times 10^{- 5} C}{1 s}

Additionally, the duration of time is

5 s

\frac{5.00 \times 10^{- 5} C}{1 s} \frac{5 s}{1}

The conversion factor from Coulombs to electrons is

\frac{6.242 \times 10^{18} electrons}{C}

\frac{5.00 \times 10^{- 5} C}{1 s} \frac{5 s}{1} \frac{6.242 \times 10^{18} electrons}{C} = 1.56 \times 10^{15} electrons

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