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Biot savarts law

A wire carrying current produces magnetic field all around it.The intensity at any point can be determined by Biot-savart's law.

What is modulation ?

It is the process by which some feature (amplitude, frequency etc.) of the carrier wave is varied in accordance with the intensity of signal wave.

Mean free path.

The mean free path is defined as the mean distance traversed by a molecule between successive collisions.

Saddle point.

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It is a point where function is neither maximum nor minimum.Geometrically  such a surface forms a ridge rising in one direction & falling in another direction.

Permeability(μ).

It is defined as ratio between magnetic induction(B) to the magnetising field strength(H).                          I.e μ=B/H

Free electrons

 Electrons which are loosely bound to the nucleus are called free electrons.

Plane progressive wave.

A plane progressive wave is one which travels onward through the medium in a given direction without attenuation( i.e  amplitude constant).

Rolle's Theorem.

Statement:- It states that if a function f(x) is derivable in an interval [a,b], and also f(a)=f(b), then there exists at least one value ‘c' of x lying within [a,b] such that f'(c)=0.

What is Rectification in math ?

The process in which we determine the lengths of arcs of plane curves whose equations are given in the cartesian, parametric or polar form is known as Rectification.

Reciprocity theorem.

It states that “ co-efficient of mutual inductance of the coils remains same whether the current is flowing in coil-1 or in coil-2.

solve dy/dx=(4x+y+1)²

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Solve (4x+y)²dx/dy=1

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solve dy/dx-ytan2x=0,y(0)=2

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Solution:-

Find the differential equation corresponding to y=ae³^x+be^x

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Solve (dy/dx)-y=xy⁵

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find asymptotes of the curve y=x/(x²-1).

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The value of a.(b+c)×(a+b+c) is

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Show that a×(b×a)=(a×b)×a where a and b are two vectors.

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