Calculate the electric field intensity 30cm from a point of charge 20C
To calculate the electric field intensity, we can use Coulomb's Law.
Coulomb's Law states that the electric field intensity (E) created by a point charge (q) at a distance (r) is given by the formula:
E = k * (q / r^2),
where k is the electrostatic constant (k = 9 x 10^9 Nm^2/C^2).
Given:
q = 20 C (charge of the point charge)
r = 30 cm (distance from the point charge)
First, we need to convert the distance from centimeters to meters:
r = 30 cm = 0.3 m
Now, we can substitute the values into the formula and calculate the electric field intensity E:
E = (9 x 10^9 Nm^2/C^2) * (20 C) / (0.3 m)^2
Simplifying the equation:
E = (9 x 10^9 Nm^2/C^2) * (20 C) / (0.3^2 m^2)
E = (9 x 10^9 Nm^2/C^2) * (20) / (0.09 m^2)
E = 180 x 10^9 Nm^2/C^2 / 0.09 m^2
E ≈ 2 x 10^12 N/C
Therefore, the electric field intensity at a distance of 30 cm from a point charge of 20 C is approximately 2 x 10^12 N/C.
To calculate the electric field intensity at a distance from a point charge, we can use Coulomb's Law. Coulomb's Law states that the electric field intensity (E) produced by a point charge (Q) at a distance (r) from the charge is given by the equation:
E = k * (Q / r^2)
where:
- E is the electric field intensity (measured in N/C, Newtons per Coulomb)
- k is the electrostatic constant, approximately equal to 9 * 10^9 Nm^2/C^2
- Q is the magnitude of the charge (measured in C, Coulombs)
- r is the distance from the charge (measured in m, meters)
In this case, Q = 20 C and r = 30 cm = 0.3 m.
Substituting these values into the equation, we have:
E = (9 * 10^9 Nm^2/C^2) * (20 C / (0.3 m)^2)
E = (9 * 10^9 Nm^2/C^2) * (20 C / (0.3)^2 m^2)
E = (9 * 10^9 N * 20 C) / (0.09 m^2)
E = (180 * 10^9 N C) / 0.09 m^2
E = 2 * 10^12 N/C
Therefore, the electric field intensity 30 cm from a point charge of 20 C is 2 * 10^12 N/C.
http://physics.bu.edu/~duffy/Ejs/EP_chapter17/EField_and_Potential_2D_v2_Intro%201.html
k = 9*10^9
Q = 20 C
R = 0.30 meter
E = k Q/R^2
Why on earth are you asking this if taking the subject?