Read and Learn Some Physics Formulas And Definitions In simple way of electricity chapter

Learn Some Physics Formulas And Definitions In simple way of electricity chapter

Chapter - Electricity

Topic - 1.Ohm's Law

 
Electricity

Electricity is the phenomena associated with the presence and flow of electric charge.

Electric charge

Electric charge is a physical property of matter that causes it to experience a force when near other electrically charged matter.

Positively charged substances are repelled from other positively charged substances, but attracted to negatively charged substances; negatively charged substances are repelled from negative and attracted to positive

The symbol Q is often used to denote a charge.

Electric current

An electric current is a flow of electric charge through an electrical conductor.

Electric charge flows when there is voltage present across a conductor.

The SI unit for measuring an electric current is the ampere, which is the flow of electric charges through a surface at the rate of one coulomb per second.

Ohms law

       I= V / R

where,

   I is the current through the conductor in units of amperes

  V is the potential difference measured across the conductor in units of volts

  R is the resistance of the conductor in units of ohms.

Direct current (DC)

Direct current (DC) is the unidirectional flow of electric charge.

Direct current is produced by sources such as batteries, thermocouples and solar cells.

Alternating current(AC)

In AC the movement of electric charge periodically reverses direction.

In DC the flow of electric charge is only in one direction.

The usual waveform of an AC power circuit is a sine wave.

Resistive heating (Joule heating or ohmic heating)

It is the process by which the passage of an electric current through a conductor releases heat.

Here,

       Q α I2 R

where

  Q - heat produced

  I - current

  R- electrical resistance of the wire.

This relationship is known as Joule's First Law.

Electric power 

Electric power is the rate at which electric energy is transferred by an electric circuit. The SI unit of power is the watt, one joule per second.

The electric power produced by an electric current I consisting of a charge of Q coulombs every t seconds passing through an electric potential (voltage) difference of V is

       P = work done per unit time

          = Q V / t

          = I V

where

  Q is electric charge in coulombs

  t is time in seconds

  I is electric current in amperes

  V is electric potential or voltage in volts

In the case of resistive (Ohmic, or linear) loads, Joule's law can be combined with Ohm's law (V = I·R) to produce alternative expressions for the dissipated power:

       P = I2  R

          = V2  / R

where R is the electrical resistance.
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Topic - 2.Electromagnetism

 

 Electromagnetism

Electric current produces a magnetic field.

The magnetic field surrounding the wire persists as long as the current flows.

For a steady flow of charge through a surface, the current I (in amperes) can be calculated with the following equation:

       I = Q/ t

where Q is the electric charge transferred through the surface over a time t.

More generally, electric current can be represented as the rate at which charge flows through a given surface as:

       I = dQ / dt

Electromagnetic field 

An electromagnetic field is a physical field produced by electrically charged objects.

It is one of the four fundamental forces of nature (the others are gravitation, the weak interaction, and the strong interaction).

The field can be viewed as the combination of an electric field and a magnetic field. The electric field is produced by stationary charges, and the magnetic field by moving charges (currents).

Electromagnetic energy transfer is better described as being carried in the form of packets called quanta (in this case, photons) with a fixed frequency.

Planck's relation links the energy E of a photon to its frequency v through the equation:

       E=h v

where h is Planck's constant (h = 6.626 × 10−34 J·s)

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Electric field

An electric field surrounds electrically charged particles and time-varying magnetic fields.

The concept of an electric field was introduced by Michael Faraday.

Electromagnetic radiation

Electromagnetic radiation is a form of energy emitted and absorbed by charged particles which exhibits wave-like behavior as it travels through space.

It has both electric and magnetic field components, which stand in a fixed ratio of intensity to each other, and which oscillate in phase perpendicular to each other and perpendicular to the direction of energy and wave propagation.

In vacuum, electromagnetic radiation propagates at a characteristic speed, the speed of light.

Planck–Einstein equation

       E  =  h f  =  h c / λ

where

             h is Planck's constant 

             λ is the wavelength

             c is the speed of light

             F is the frequency

The momentum p of a photon is also proportional to its frequency and inversely proportional to its wavelength:

           P = E / c  = h f  / c  = h / λ

Photoelectric effect

It states that light could exist in discrete particle-like quantities, which later came to be known as photons.

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Topic - 3.Electric Charges And Fields

 
Coulomb's Law:

Coulomb's law states that the magnitude of the Electrostatics force of interaction between two point charges is directly proportional to the scalar multiplication of the magnitudes of charges and inversely proportional to the square of the distances between them.

       F=k q1 q2  / r2   

where

  F = force on one charge by the other        

  k= Coulomb constant (8.98× 109 N m2 C−2) 

  q1 = charge

  q2= charge

  r= distance

If the two charges have the same sign, the electrostatic force between them is repulsive; if they have different sign, the force between them is attractive.

Electric Field:

       E = F/q

          = kq / r2

where

  F= field

  q = charge

  k= Coulomb constant (8.98× 109 N m2 C−2) 

Electric field lines radiate outward from positive charges.The electric field is zero inside a conductor.

Relationship of k to ε0

Coulomb's constant is k, a proportionality factor also called the electric force constant or electrostatic constant,

       k = 1 / (4 π ε0)

where

  k = Coulomb constant (8.98× 109 N m2 C−2)

  ε0 = permittivity of free space (8.85× 10-12)

Electric Field due to an Infinite Line of Charge:

       E = 2kλ / r

where

  λ = charge per unit length

  r = distance

  k = Coulomb constant (8.98× 109 N m2 C−2)

Electric Field due to an infinite sheet:

       E=σ/ 2 ε0

where

  σ = charge per unit area

  ε0 = permittivity of free space (8.85× 10-12)

Electric Field inside a spherical shell

       E=kqr / R3

where

  r = distance from center of sphere to the charge

  q = charge

  R = radius of the sphere

Electric Field outside a spherical shell

E=kq / r2

where

  r = distance from center of sphere to the charge

  q = charge

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Topic - 4.Capacitance

 

 Capacitance is the ability of a body to store an electrical charge.

Any object that can be electrically charged exhibits capacitance.

A common form of energy storage device is a parallel-plate capacitor. In a parallel plate capacitor, capacitance is directly proportional to the surface area of the conductor plates and inversely proportional to the separation distance between the plates.

Parallel-Plate Capacitor:

       C= ε0  εr  A / d

where

  εr = the dielectric constant of the material between the plates (for a vacuum, εr = 1)

  ε0 = the electric constant (8.85× 10-12)

  A = area of one plate

  d = separation between plates

Maximum Charge on a Capacitor:

If the charges on the plates are +q and −q, and V gives the voltage between the plates, then

       Q= VC

where

Q = charge in Coulombs

V = electrical potential difference  in volts

C = capacitance in farads

A 1 farad capacitor when charged with 1 coulomb of electrical charge will have a potential difference of 1 volt between its plates.

Electrical Energy Stored in a Capacitor:

For a flat-plate capacitor the energy stored is:

       UE = ½ C V2

where

U = Potential Energy

Q = Coulombs

V = volts

C = capacitance in farads

Charge per unit Area:

       σ = q/A

where

q = charge

A = area

Energy Density:

       U =½ ε0 E2

where

u = energy per unit volume

ε0 = permittivity of free space (8.85× 10-12)

E = energy

Capacitors in Parallel:

       Ceff = C1 + C2 +……

For parallel capacitors the total q is equal to the sum of the charge on each capacitor

Capacitors in Series:

       1/ Ceff = 1/C1  + 1/C2 +….

Capacitors connected in series all have the same charge q.

Self-capacitance

It is the amount of electrical charge that must be added to an isolated conductor to raise its electrical potential by one unit. The reference point for this potential is a theoretical hollow conducting sphere, of infinite radius, centered on the conductor.

       C= 4πε0 R

where R is the radius of the sphere

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