The intensity of electric field at a distance of 1m from a pt. Charge ...
Given:
Distance from point charge, r = 1m
Intensity of electric field, E = 450 NC^-1
To Find:
Magnitude of the charge, q
Formula:
Electric field intensity, E = k(q/r^2)
where k is Coulomb's constant = 9 x 10^9 Nm^2/C^2
Solution:
Substituting the given values in the formula, we get:
450 = (9 x 10^9)q/1^2
450 = 9 x 10^9 q
q = 450/(9 x 10^9)
q = 5 x 10^-8 C
Therefore, the magnitude of the charge is 5 x 10^-8 C.
Explanation:
- The electric field intensity at a distance from a point charge is given by the formula E = k(q/r^2), where k is Coulomb's constant, q is the magnitude of the charge and r is the distance from the point charge.
- In the given problem, we are given the distance from the point charge and the electric field intensity. Hence, we can use the formula to calculate the magnitude of the charge.
- After substituting the given values in the formula and solving for q, we get the magnitude of the charge as 5 x 10^-8 C.
- This means that if there is a point charge of magnitude 5 x 10^-8 C at a distance of 1m, the electric field intensity at that point would be 450 NC^-1.