path independent vector field


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Vectors - Introduction
displacement vector Vectors - Introduction - A change of position of a particle is called displacement. If a particle moves from a position A to a position B, as shown in the figur..
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 ..
Displacement Vector
displacement vectors . The displacement vector is independent of the choice of the origin. We have, Thus, displacement vector is the difference between two position vectors. If (x 1 , y 1 ) (x 2 , y 2 ) are the coordinates of P and Q respectively, the..
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 ..
Potential energy of a system of two charges in an external field
Potential energy of a system of two charges in an external field >As the path is independent of work, the potential energy of two charges q 1 , q 2 located at r 1 and r 2 in an external field is given ..
Figure ABCD is a rectangular field 400 ft long and 300 ft wide. The pa..
Figure ABCD is a rectangular field 400 ft long and 300 ft wide. The path from A to C is how much shorter than the path from A to B to C? => 400 ft or 700 ft or 200 ft or 300 ft..
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..
Magnetic Field due to Toroidal Solenoids
Magnetic Field due to Toroidal Solenoids Toroid is a hollow circular ring (like a medu vadai) on which a large number of turns of a wire are wound. The above figure represents a toroid wound with a wire carrying a current I. Consider path 1, by symmetry , if there is any field at all in this region, it will be tangent ..
The Field of an Electric Dipole
Electric field produced by a dipole is known as dipole field. Let +q and -q be equal and opposite point charges separated by a small distance 2l. The strength of an electric dipole is measured by a vector quantity known as electric dipole moment known as electric dipo..
An experiment to show that the vertical and horizontal motions of a body are independent of each other
coin tumbler experiment An experiment to show that the vertical and horizontal motions of a body are independent of each other Place two coins A and B near the edge of a table as shown in the figure. Simultaneously drop the coin A vertically and flick the coin B horizontally. After a while we will hear just ..
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