Вопрос
(iii) A disk of radius 2.5 cm has a surface charge density of 5.3mu C/m^2 on its upper face. What is the magnitude of the electric field produced by the disk at a point on its central axis at distance z=12cm from the disk? (4 mks)
Решения
4.4
(220 Голоса)
Марат
Экспертная проверка
мастер · Репетитор 5 лет
Ответ
To find the magnitude of the electric field produced by the disk at a point on its central axis at a distance
cm from the disk, we can use the formula for the electric field due to a uniformly charged disk:
where:-
is the electric field,-
is the surface charge density,-
is the permittivity of free space (
),-
is the distance from the disk along the central axis,-
is the radius of the disk.Given:-
,-
,-
.Substitute these values into the formula:
Calculate the denominator:
Calculate the term inside the parentheses:
So,
Now, substitute back into the equation:
Therefore, the magnitude of the electric field produced by the disk at a point on its central axis at a distance
cm from the disk is approximately
.