vector field identities





Vectors - Introduction
resultant displacement vector >Similarly, by referring to the figure belo..
Dot Product of Vectors and the Resolution of a Vector
It was mentioned earlier that, displacement vectors are added to displacement vectors, or velocity vectors are added to velocity vectors. Just as it is meaningless to add scalar quantities of different kinds, such as mass and temperature, so also it is ..
Dot Product and the Resolution of a Vector
Dot Product of Vectors and the Resolution of a Vector - It was mentioned earlier that, displacement vectors are added to displacement vectors, or velocity vectors are added to velocity vectors. Just as it is meaningless to add scalar quant..
Potential Energy in an External Field
Potential Energy of a Single Charge - In the previous chapter, we learnt about specific charge, its location, and its electric field, but here we are considering the potential energy of a charge, in an external field. Consider an external electric field 'E' produced by..
Uniform External Field
Dipole in an external field Dipole in an external field Consider a permanent dipole of dipole moment 'p' in a uniform external field E, which implies that p does not depend E nor it is induced due to E. The force on q is qE and on -q is -qE and net force on dipole is zero. However, the charges ..
Field at a Point Outside the Spherical Shell
is the unit vector. is directed outwards if the charge is positive and is directed inwards if the charge is negative. The electric field in terms of surface charge densi..
5. Electric field at the surface of a charged conductor
Electric field at the surface of a charged conductor The electric field where ' s ' is the surface charge density and the unit vector normal to the surface in the outward direction. Choose a small cylinder, which is partly inside and partly outside the surface of the conduc..
Polarization
Light is an electromagnetic wave with electric and magnetic field vectors varying sinusoidally, perpendicular to each other as well as perpendicular to the direction of propagation of wave of ligh..
Question 31
Question: Magnetic field is a vector quantity. Justify? Answer: The magnetic field lines have both direction as well as magnitude. Both the parameters are necessary to describe this physical quantity completel..
Summary
. Vehicle (vector) DNA is the DNA which carries the passenger DNA to the new host. It is usually the plasmid from bacterial or a bacteriophage. Various enzymes such as lyases, ligases, alkaline phosphates, reverse transcriptases and nucleases are used in the technology. The most widely us..
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