Ηλεκτρική δυναμική ενέργεια – προβλήματα και λύσεις

1. An electron is accelerated from rest through a potential difference 12 V. What is the change in ηλεκτρική δυναμική ενέργεια of the electron?

Electric potential energy – problems and solutions 2Γνωστό:

The χρέωση on an electron (e) = -1.60 x 10-19 Κουλόμβ

Ηλεκτρικό δυναμικό = Τάση (V) = 12 Volt

Καταζητούμενος: The change in electric potential energy of the electron (ΔPE)

Λύση:

ΔPE = q V = (-1.60 x 10-19 C)(12 V) = -19.2 x 10-19 Μονάδα ενέργειας ή έργου

The minus sign indicates that the potential energy decreases.

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2. Two parallel plates are charged. The separation between the plates is 2 cm and the magnitude of the ηλεκτρικό πεδίο between the plates is 500 Volt/meter. What is the change in potential energy of the proton when accelerated from the positively charged plate to the negatively charged plate.

Electric potential energy – problems and solutions 2Γνωστό:

The magnitude of the electric field between the plates (E) = 500 Volt/meter

The απόσταση between the plates (s) = 2 cm = 0,02 m

The charge on an proton = +1.60 x 10-19 Κουλόμβ

Ζητούνται: The change in electric potential energy (ΔPE)

Λύση:

Electric potential :

V = E s

V = (500 Volt/m)(0.02 m)

V = 10 βολτ

The change in electric potential energy :

ΔPE = q V

ΔPE = (1,60 x 10-19 C)(10 V)

ΔPE = 16 x 10-19 Μονάδα ενέργειας ή έργου

ΔPE = 1.6 x 10-18 Μονάδα ενέργειας ή έργου

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3. Two point charges are separated by a distance of 10 cm. Charge on point A =+9 μC and charge on point B = -4 μC. k = 9 x 109 Nm2C-2, 1 μC = 10-6 C. What is the change in electric potential energy of charge on point B if accelerated to point A ?

Electric potential energy – problems and solutions 3

Γνωστό:

Χρέωση A (q1) = +9 μC = +9 x 10-6 C

Χρέωση B (q1) = -4 μC = -4 x 10-6 C

k = 9 x 109 Nm2C-2

The distance between charge A and B (r) = 10 cm = 0.1 m = 10-1 m

Ζητούνται: The change in electric potential energy (ΔEP)

Λύση:

Electric potential energy – problems and solutions 4

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