How do you find the dipole moment of a rod?
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How do you find the dipole moment of a rod?
- We take dipole moment with center of the rod as origin.
- p=integral from 0 to L[ ( lambda)x dx]+ integral from 0 to -L[(- lambda)(-x) dx]
- then, p=(lambda)[x^2/2] from 0 to L+(lambda)[x^2/2] from 0 to -L .
- p=(lambda)L^2/2+(lambda)L^2/2=(lambda)L^2.
- But, (lambda)=q/L, therefore,
- p=qL………………(
How do you calculate the charge on a rod?
A long rod bears a charge of λ coulombs per metre of its length. What is the strength of the electric field at a point P at a distance r from the rod? E=2λ4πϵ0r∫π/20cosθδθ=λ2πϵ0r. The component of the field parallel to the rod, by considerations of symmetry, is zero, so Equation 1.6.
What is the formula of electric dipole?
The formula for electric dipole moment for a pair of equal & opposite charges is p = qd, the magnitude of the charges multiplied by the distance between the two.
What is Torque on dipole?
The torque on an Electric Dipole in an Electric Field that is uniform. An electric dipole in an electric field that is external is subjected to a torque written as τ = pE sin θ where symbol θ is the angle which is between p and E. The torque tends to align the moment of the dipole p in the direction of E.
How do you find the dipole moment of a compound?
The larger the difference in electronegativity, the larger the dipole moment. The distance between the charge separation is also a deciding factor into the size of the dipole moment. The dipole moment is a measure of the polarity of the molecule.
How do you calculate the torque of a dipole?
τ = (q E sinθ) d = q d E sinθ Since ‘qd’ is the magnitude of dipole moment (p), and the direction of dipole moment is from positive to negative charge; torque is the cross product of dipole moment and electric field.
What is the charge of a rod?
56.06 — Electrostatically charged rods. When you rub the plastic rod (polyethylene terephthalate, glycol modified, or PETG) with the wool cloth, the rod charges negative. When you rub the glass rod with the silk, the rod charges positive.
How do you calculate surface charge density?
Surface charge density is a measure of how much electric charge is accumulated over a surface. It is calculated as the charge per unit surface area. If q is the charge and A is the area of the surface, then the surface charge density is given by; σ=qA, The SI unit of surface charge density is Cm–2.
How do you find the torque of a dipole moment?
An electric dipole in an electric field that is external is subjected to a torque written as τ = pE sin θ where symbol θ is the angle which is between p and E. The torque tends to align the moment of the dipole p in the direction of E.