 # Definite Integral Problems

Definite Integral Problems Suppose f : R→R is a continuous periodic function with periodic T. let a ϵ R. Then prove that for any positive integer n, Problems: 1. Evaluate Solution: let us I = … (1) = , … (2) Equations 1 + 2 2I . , 2I = . 2I = , I Read more about Definite Integral Problems[…] # Gauss Law

Gauss Law The Gauss law is a very convenient tool to find the electric field of a system of charges. It is especially useful when situations of symmetry can be easily exploited. The electric flux () through a differential area is the dot product of the electric field and the area vector (this vector is Read more about Gauss Law[…] # AP EAMCET (Engineering, Agriculture and Medical Common Entrance Test) 2018 Notification Released

AP EAMCET (Engineering, Agriculture and Medical Common Entrance Test) 2018 Notification Released AP EAMCET (Engineering, Agriculture and Medical Common Entrance Test) is being conducted on behalf of APSCHE. Eligibility: A pass in 10+2 or equivalent examination with 50 % marks aggregate. Mode of Application: ONLINE Important Dates: Commencement of Application 28.02.2018 Last Date of Application 29.03.2018 Read more about AP EAMCET (Engineering, Agriculture and Medical Common Entrance Test) 2018 Notification Released[…] # LCR Circuit

LCR Circuit We know that there are two types of connection series and parallel. Series circuit is one in which current remains the same along each element. Now we will talk about LCR circuit. The LCR circuit analysis can be understood better in terms of phasors. A phasor is a rotating quantity. For an inductor (L), Read more about LCR Circuit[…] # Problems on Differential Equation

Problems on Differential Equation 1. Find the order and degree of Solution: Given that   That is The highest differentiation is order that power is degree, hence Order is 2, degree = 1 2. Find the order of the family of the differential equation obtained by eliminating the arbitrary constant b and c from xy Read more about Problems on Differential Equation[…] # Torque on an Electric Dipole in a Uniform Electric Field

Torque on an Electric Dipole in a Uniform Electric Field Consider a dipole with charges +q and –q forming a dipole since they are a distance d away from each other. Let it be placed in a uniform electric field of strength E such that the axis of the dipole forms an angle θ with Read more about Torque on an Electric Dipole in a Uniform Electric Field[…] # Fundamental Forces in Nature

Fundamental Forces in Nature What are the Fundamental Forces in Nature? There are four universal or fundamental forces in nature. Without these forces, all matter in the world will fall apart. Force as such is any pull or push that causes an object to alter its physical state (in terms of motion or deformity). Newton Read more about Fundamental Forces in Nature[…] # Differential Equations

Differential Equations An equation involving one dependent variable, one or more independent variable and the differential coefficient (derivatives) of dependent variable with respect to independent variable is called differential equations. Examples: 1. , 2. . Types of differential equations 1. Ordinanry differential equation: A differential equations is said to be an ordinary differential equation. If Read more about Differential Equations[…] # Indefinite Integration – Direct Subtitution

Indefinite Integration – Direct Subtitution Definition: If f(x) and g(x) are two functions such that f'(x) = g(x) then f(x) is called antiderivative or primitive of g(x) with respect to x Note1: If f(x) is an antiderivative of g(x) then f(x)+c is also an antiderivative of g(x) for all c ϵ wR If F(x) is an Read more about Indefinite Integration – Direct Subtitution[…] # Electrical Resistance

Electrical Resistance What is Electrical Resistance? According to Ohm’s law, there is a relation between the current flowing through a conductor and the potential difference across it. It is given by, V ∝ I V = IR Where, V = potential difference measured across the conductor (in volts). I = Current through the conductor (in amperes). Read more about Electrical Resistance[…]