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What is the electric field intensity at a distance of 2 meters from a point charge of 5 C, given that the permittivity of free space is 1/(4)?
The electric field intensity at a distance of 2 meters from a point charge of 5 C is calculated using the formula E k Q / r2, where k is the Coulomb's constant (1/(4)), Q is the charge (5 C), and r is the distance (2 meters). Plugging in the values, we get E (1/(4)) 5 / (22) 5 / (16) N/C.
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What is the relationship between the electric field intensity (E), charge density (q), and permittivity of free space ()?
The relationship between the electric field intensity (E), charge density (q), and permittivity of free space () is given by the equation E q / (). This equation shows that the electric field intensity is directly proportional to the charge density and inversely proportional to the permittivity of free space.
What is the formula for the electric field strength (E) in terms of the charge (q), the distance from the charge (r), and the permittivity of the medium (k)?
The formula for electric field strength (E) is E (k q) / r2, where E is the electric field strength, q is the charge, r is the distance from the charge, and k is the permittivity of the medium.
What factors determine the intensity of an electric field?
The intensity of an electric field is determined by the amount of charge creating the field and the distance from the charge. The closer you are to the charge, the stronger the electric field will be.
What is the electric potential due to an infinite line charge?
The electric potential due to an infinite line charge decreases as you move away from the charge. The formula to calculate the electric potential at a distance r from the line charge is V / (2) ln(r), where is the charge density of the line charge, is the permittivity of free space, and ln(r) is the natural logarithm of the distance r.
What is the formula for calculating the electric field intensity at a distance r from a point charge q, given by E kq/r2, where k is the Coulomb's constant and r is the distance from the point charge?
The formula for calculating the electric field intensity at a distance r from a point charge q is E kq/r2, where k is Coulomb's constant and r is the distance from the point charge.
What is the relationship between the electric field intensity (E), charge density (q), and permittivity of free space ()?
The relationship between the electric field intensity (E), charge density (q), and permittivity of free space () is given by the equation E q / (). This equation shows that the electric field intensity is directly proportional to the charge density and inversely proportional to the permittivity of free space.
What is the formula for the electric field strength (E) in terms of the charge (q), the distance from the charge (r), and the permittivity of the medium (k)?
The formula for electric field strength (E) is E (k q) / r2, where E is the electric field strength, q is the charge, r is the distance from the charge, and k is the permittivity of the medium.
What factors determine the intensity of an electric field?
The intensity of an electric field is determined by the amount of charge creating the field and the distance from the charge. The closer you are to the charge, the stronger the electric field will be.
What is the electric potential due to an infinite line charge?
The electric potential due to an infinite line charge decreases as you move away from the charge. The formula to calculate the electric potential at a distance r from the line charge is V / (2) ln(r), where is the charge density of the line charge, is the permittivity of free space, and ln(r) is the natural logarithm of the distance r.
What is the formula for calculating the electric field intensity at a distance r from a point charge q, given by E kq/r2, where k is the Coulomb's constant and r is the distance from the point charge?
The formula for calculating the electric field intensity at a distance r from a point charge q is E kq/r2, where k is Coulomb's constant and r is the distance from the point charge.
What is the relationship between the electric field (E), permittivity of free space (), and electric charge density () in a given system?
The relationship between the electric field (E), permittivity of free space (), and electric charge density () in a given system is described by Gauss's Law, which states that the electric field (E) at a point in space is directly proportional to the electric charge density () at that point and inversely proportional to the permittivity of free space (). Mathematically, this relationship is represented as E / .
What is the formula for calculating the electric field of a cylinder?
The formula for calculating the electric field of a cylinder is E / (2r), where E is the electric field, is the charge density of the cylinder, is the permittivity of free space, and r is the distance from the axis of the cylinder.
What is the formula for calculating the electric flux through a surface due to a point charge, taking into account the permittivity of free space, represented by the symbol epsilon naught?
The formula for calculating the electric flux through a surface due to a point charge is given by q / , where is the electric flux, q is the charge, and is the permittivity of free space.
What is the dimensional formula of permittivity of free space?
Permittivity =[Ɛo] = [Charge]2 /([Force] [Distance]2) =[TA]2 / [MLT-2] [L]2{[A] is the dimensional formula of electric charge} =[TA]2 / [ML3T-2] =[M-1L-3T(2+2)A2] = [M-1L-3T4A2]
What is the effect of change of medium on the potential at any point?
When an electric charge moves from one medium to another, the potential at that point changes due to the difference in permittivity or dielectric constants of the two mediums. This change in potential is described by the equation V = Q / (4πεr), where ε is the permittivity of the medium and r is the distance from the charge.
What are the electric field equations for different geometries?
The electric field equations for different geometries are: For a point charge: E kq/r2, where E is the electric field, k is the Coulomb's constant, q is the charge, and r is the distance from the charge. For a uniformly charged infinite line: E 2k/r, where E is the electric field, k is the Coulomb's constant, is the charge density, and r is the distance from the line. For a uniformly charged infinite plane: E /2, where E is the electric field, is the surface charge density, and is the permittivity of free space.
Electric charge is uniformly distributed on the surface of a spherical balloon. Show how electric intensity and electric potential vary (a) on the surface (b) inside and (c) outside?
(a) On the surface of the balloon, the electric intensity is perpendicular to the surface and is constant. The electric potential varies across the surface with the highest value at the region of highest charge density. (b) Inside the balloon, the electric intensity and potential will be zero since the Gaussian surface does not enclose any charge. (c) Outside the balloon, the electric intensity decreases inversely with the square of the distance from the center of the balloon, while the electric potential also decreases with distance, following a similar inverse square law.
