ম্যাক্সওয়েলের সমীকরণসমূহ: সংশোধিত সংস্করণের মধ্যে পার্থক্য

বিষয়বস্তু বিয়োগ হয়েছে বিষয়বস্তু যোগ হয়েছে
VolkovBot (আলোচনা | অবদান)
রোবট পরিবর্তন সাধন করছে: ro:Ecuațiile lui Maxwell
Xqbot (আলোচনা | অবদান)
রোবট পরিবর্তন সাধন করছে: de:Maxwell-Gleichungen; cosmetic changes
২ নং লাইন:
[[তড়িৎ-চৌম্বকীয় তত্ত্ব|তড়িৎ-চৌম্বকীয় তত্ত্বে]], [[জেমস ক্লার্ক ম্যাক্সওয়েল]] বর্ণিত চারটি সমীকরণ '''ম্যাক্সওয়েলের সমীকরণসমূহ''' নামে পরিচিত। এই সমীকরণ গুলো [[তাড়িতচৌম্বক ক্ষেত্র|তড়িৎ এবং চুম্বক ক্ষেত্রের]] বৈশিষ্ট্য এবং [[পদার্থ|পদার্থের]] আন্তঃসংযোগসমূহ বর্ণনা করে।
 
== সাধারণ সূত্রায়ন ==
=== সারণি ১:"মুক্ত" আধান ও বিদ্যৎপ্রবাহের পরিভাষায় সূত্রায়ন ===
{| class="wikitable" border="1" cellpadding="8" cellspacing="0"
|-
২৩ নং লাইন:
|-
| [[অঁপেরের বর্তনী বিধি]]<br /> (ম্যাক্সওয়েলের সংশোধনসহ):
| <math>\nabla \times \mathbf{H} = \mathbf{J}_f + \frac{\partial \mathbf{D}} {\partial t}</math>&emsp;<math></math>
| <math>\oint_{\partial S} \mathbf{H} \cdot \mathrm{d}\mathbf{l} = I_{f,S} + \frac {\partial \Phi_{D,S}}{\partial t}
</math>
|}
 
=== সারণি ২: "সমগ্র" আধান ও বিদ্যুৎপ্রবাহের পরিভাষায় সুত্রায়ন ===
{| class="wikitable" border="1" cellpadding="8" cellspacing="0"
|-
৫৫ নং লাইন:
নিচের সারণীতে প্রতিটি প্রতীকের অর্থ এবং পরিমাপের আন্তর্জাতিক একক (এসআই) দেয়া হল:
 
=== সারণি ৩: সংজ্ঞা ও একক ===
{| class="wikitable" border="1" cellpadding="8" cellspacing="0"
|-
৬২ নং লাইন:
! পরিমাপের এসআই একক
|-
|&ensp;<math>\mathbf{\nabla \cdot}</math>
| the [[divergence]] [[operator]]
|rowspan=2 | per meter (factor contributed by applying either operator)
|-
| &ensp;<math>\mathbf{\nabla \times}</math>
| the [[Curl (mathematics)|curl]] [[operator]]
|-
| &ensp;<math>\frac {\partial}{\partial t}</math>
| [[partial derivative]] with respect to time
| per second (factor contributed by applying the operator)
|-
| &ensp;<math>\mathbf{E} \ </math>
| [[electric field]]
| [[volt]] per [[meter]] or, equivalently, <br /> [[newton]] per [[coulomb]]
|-
| &ensp;<math>\mathbf{B} \ </math>
| [[magnetic field]] <br /> also called the magnetic induction <br /> also called the magnetic field density <br /> also called the magnetic flux density
| [[tesla (unit)|tesla]], or equivalently, <br /> [[weber (unit)|weber]] per [[square meter]]<br /> [[volt]]•[[second (unit)|second]] per [[square meter]]
|-
| &ensp;<math>\mathbf{D} \ </math>
| [[electric displacement field]] <br /> also called the electric flux density
| [[coulomb]]s per [[square meter]] or, equivalently, <br /> [[newton]] per [[volt]]-[[meter]]
|-
| &ensp;<math>\mathbf{H} \ </math>
| [[magnetic field#The H field|magnetizing field]] <br /> also called auxiliary magnetic field <br /> also called magnetic field intensity<br /> also called magnetic field
| [[ampere]] per [[meter]]
|-
| &ensp;<math>\varepsilon_0 \ </math>
| permittivity of [[free space]], officially the [[electric constant]],<br /> a universal constant
| [[farads]] per meter
|-
| &ensp;<math>\mu_0 \ </math>
| permeability of [[free space]], officially the [[magnetic constant]],<br /> a universal constant
| [[henries]] per meter, or Newtons per ampere squared
|-
| &ensp;<math>\ \rho_f \ </math>
| [[free charge|free]] [[charge density]] (not including [[bound charge]])
| [[coulomb]]s per [[cubic meter]]
|-
| &ensp;<math>\ \rho \ </math>
| total [[charge density]] (including both [[free charge|free]] and [[bound charge]])
| [[coulomb]]s per [[cubic meter]]
|-
| &ensp;<math>\oint_S \mathbf{E \cdot \mathrm{d} A}</math>
| the [[electric flux|flux]] of the electric field through any closed [[gaussian surface]] S
| joule-meter per coulomb
|-
| &ensp;<math>Q_{f,S} \ </math>
| net unbalanced [[free charge|free]] [[electric charge]] enclosed by the<br />Gaussian surface S (not including [[bound charge]])
| coulombs
|-
| &ensp;<math>Q_{S} \ </math>
| net unbalanced [[electric charge]] enclosed by the Gaussian<br />surface S (including both [[free charge|free]] and [[bound charge]])
| coulombs
|-
| &ensp;<math>\oint_S \mathbf{B \cdot \mathrm{d} A}</math>
| the [[magnetic flux|flux]] of the magnetic field through any [[closed surface]] S
| tesla meters-squared or webers
|-
| &ensp;<math>\oint_{\partial S} \mathbf{E} \cdot \mathrm{d}\mathbf{l}</math>
| [[line integral]] of the electric field along the boundary ∂S<br />(therefore necessarily a closed curve) of the surface S
| joules per coulomb
|-
| &ensp;<math>\Phi_{B,S} = \int_S \mathbf{B} \cdot \mathrm{d} \mathbf{A}</math>
| [[magnetic flux]] through any surface S (not necessarily closed)
| [[weber (unit)|webers]] or equivalently, <br /> volt-seconds
|-
|&ensp;<math>\mathbf{J}_f</math>
| [[free current|free]] [[current density]] (not including [[bound current]])
| amperes per square meter
|-
|&ensp;<math>\mathbf{J}</math>
| total [[current density]] (including both [[free current|free]] and [[bound current]])
| amperes per square meter
|-
|&ensp; <math>\oint_{\partial S} \mathbf{B} \cdot \mathrm{d}\mathbf{l}</math>
| [[line integral]] of the magnetic field over<br /> the closed boundary ∂S of the surface S
| tesla-meters
|-
| &ensp;<math>I_{f,S} = \int_S \mathbf{J}_f \cdot \mathrm{d} \mathbf{A}</math>
| net [[free current|free]] [[electrical current]] passing through<br />the surface S (not including [[bound current]])
| amperes
|-
| &ensp;<math>I_{S} = \int_S \mathbf{J} \cdot \mathrm{d} \mathbf{A}</math>
| net [[electrical current]] passing through the<br />surface S (including both [[free current|free]] and [[bound current]])
| amperes
|-
| &ensp;<math>\Phi_{E,S} = \int_S \mathbf{E} \cdot \mathrm{d} \mathbf{A}</math>
| [[electric flux]] through any surface S, not necessarily closed
| joule-meters per coulomb
|-
| &ensp;<math>\Phi_{D,S} = \int_S \mathbf{D} \cdot \mathrm{d} \mathbf{A}</math>
| flux of [[electric displacement field]] through any surface S, not necessarily closed
| coulombs
|-
| &ensp;<math>\mathrm{d}\mathbf{A}</math>
| [[differential (infinitesimal)|differential]] vector element of surface area ''A'', with [[infinitesimal]]ly <br />
small magnitude and direction [[surface normal|normal]] to surface ''S''
| square meters
|-
| &ensp;<math> \mathrm{d} \mathbf{l} </math>
| differential vector element of ''path length'' [[tangential]] to the path/curve
| meters
১৬৯ নং লাইন:
{{অসম্পূর্ণ}}
 
[[Categoryবিষয়শ্রেণী:তড়িৎ চুম্বকত্ব]]
 
[[Categoryবিষয়শ্রেণী:সমীকরণ]]
 
[[Categoryবিষয়শ্রেণী:পার্শ্বীয় অন্তরক সমীকরণ]]
[[Category:তড়িৎ চুম্বকত্ব]]
[[Category:সমীকরণ]]
[[Category:পার্শ্বীয় অন্তরক সমীকরণ]]
 
[[af:Maxwell se vergelykings]]
১৮১ ⟶ ১৭৯ নং লাইন:
[[cs:Maxwellovy rovnice]]
[[da:Maxwells ligninger]]
[[de:Maxwellsche Maxwell-Gleichungen]]
[[el:Εξισώσεις Μάξγουελ]]
[[en:Maxwell's equations]]