{"id":7886,"date":"2022-08-12T14:34:27","date_gmt":"2022-08-12T13:34:27","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=7886"},"modified":"2024-05-30T21:34:47","modified_gmt":"2024-05-30T20:34:47","slug":"how-to-calculate-and-solve-for-dielectric-displacement-in-relation-to-polarization-electrical-properties","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2022\/08\/12\/how-to-calculate-and-solve-for-dielectric-displacement-in-relation-to-polarization-electrical-properties\/","title":{"rendered":"How to Calculate and Solve for Dielectric Displacement in Relation to Polarization | Electrical Properties"},"content":{"rendered":"

The image of dielectric displacement in relation to polarization is illustrated below. To calculate dielectric displacement in relation to polarization, three essential parameters are needed and these parameters are Permittivity of Vacuum (\u03b5o<\/sub>), Electric Field Intensity (E)<\/strong> and Polarization (P).<\/strong><\/p>\n

\"\"<\/p>\n

The formula for calculating dielectric displacement in relation to polarization:<\/strong><\/h3>\n

D = \u03b5o<\/sub>E + P<\/p>\n

Where:<\/p>\n

D = Dielectric Displacement in Relation to Polarization
\n\u03b5o<\/sub>\u00a0= Permittivity of Vacuum
\nE = Electric Field Intensity<\/a>
\nP = Polarization<\/p>\n

Let’s solve an example;
\nFind the dielectric displacement in relation to polarization when the permittivity of vacuum is 8, the electric field intensity is 6 and the polarization is 2.<\/p>\n

This implies that;<\/p>\n

\u03b5o<\/sub> = Permittivity of Vacuum = 8
\nE = Electric Field Intensity = 6
\nP = Polarization = 2<\/p>\n

D = \u03b5o<\/sub>E + P
\nThat is, D = (8)(6) + 2
\nD = (48) + 2
\nD = 50<\/p>\n

Therefore, the\u00a0dielectric displacement in relation to polarization\u00a0<\/strong>is\u00a050 C\/m\u00b2.<\/strong><\/p>\n

Calculating the Permittivity of Vacuum when the Dielectric Displacement in Relation to Polarization, the Electric Field Intensity and the Polarization are Given<\/strong><\/h3>\n

\u03b5o<\/sub> = D – P<\/sup> \/ E<\/sub><\/p>\n

Where:<\/p>\n

\u03b5o<\/sub>\u00a0= Permittivity of Vacuum
\nD = Dielectric Displacement in relation to polarization<\/a>
\nE = Electric Field Intensity
\nP = Polarization<\/p>\n

Let’s solve an example;
\nFind the permittivity of vacuum when the dielectric displacement in relation to polarization is 22, the electric field intensity is 6 and the polarization is 4.<\/p>\n

This implies that;<\/p>\n

D = Dielectric Displacement in relation to polarization = 22
\nE = Electric Field Intensity = 6
\nP = Polarization = 4<\/p>\n

\u03b5o<\/sub> = D – P<\/sup> \/ E<\/sub>
\nSo, \u03b5o<\/sub> = 22 – 4<\/sup> \/ 6<\/sub>
\n\u03b5o<\/sub> = 18<\/sup> \/ 6<\/sub>
\n\u03b5o<\/sub> = 3<\/p>\n

Therefore, the\u00a0permittivity of vacuum\u00a0<\/strong>is 3.<\/strong><\/p>\n

Calculating the Electric Field Intensity when the Dielectric Displacement in Relation to Polarization, the Polarization and the Permittivity of Vacuum are Given<\/strong><\/h3>\n

E = D – P<\/sup> \/ \u03b5o<\/sub><\/sub><\/p>\n

Where:<\/p>\n

E = Electric Field Intensity
\nD = Dielectric Displacement in relation to polarization
\n\u03b5o<\/sub> = Permittivity of Vacuum
\np = Polarization<\/p>\n

Let’s solve an example;
\nFind the electric field intensity when the dielectric displacement in relation to polarization is 52, the polarization is 7 and the permittivity of vacuum is 9.<\/p>\n

This implies that;<\/p>\n

D = Dielectric Displacement in relation to polarization = 52
\n\u03b5o<\/sub> = Permittivity of Vacuum = 9
\nP = Polarization = 7<\/p>\n

E = D – P<\/sup> \/ \u03b5o<\/sub><\/sub>
\nThat is, E = 52 – 7<\/sup> \/ 9<\/sub>
\nE = 45<\/sup> \/ 9<\/sub>
\nE = 5<\/p>\n

Therefore, the\u00a0electric field intensity\u00a0<\/strong>is 5.<\/strong><\/p>\n

Calulating the Polarization when the Dielectric Displacement in Relation to Polarization, the Permittivity of Vacuum and the Polarization are Given<\/strong><\/h3>\n

P = D – \u03b5o<\/sub>E<\/p>\n

Where:<\/p>\n

p = Polarization
\nE = Electric Field Intensity
\nD = Dielectric Displacement in relation to polarization
\n\u03b5o<\/sub> = Permittivity of Vacuum<\/p>\n

Let’s solve an example;
\nFind the polarization when the electric field intensity is 2, the permittivity of vacuum is 9 and the dielectric displacement in relation to polarization is 48.<\/p>\n

This implies that;<\/p>\n

E = Electric Field Intensity = 2
\nD = Dielectric Displacement in relation to polarization = 48
\n\u03b5o<\/sub> = Permittivity of Vacuum = 9<\/p>\n

P = D – \u03b5o<\/sub>E
\nSo, P = 48 – 9(2)
\nP = 48 – 18
\nP = 30<\/p>\n

Therefore, the\u00a0polarization\u00a0<\/strong>is\u00a030.<\/strong><\/p>\n

How to Calculate Dielectric Displacement in Relation to Polarization Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the dielectric displacement in relation to polarization.<\/p>\n

\n

To get the answer and workings of the dielectric displacement in relation to polarization using the Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><\/p>\n

Apple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Materials and Metallurgical\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n<\/div>\n

<\/p>\n

Now, Click on Electrical Properities<\/strong>\u00a0<\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Dielectric Displacement in Relation to Polarization<\/strong>\u00a0under Electrical Properities<\/b><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the dielectric displacement in relation to polarization according to the respective parameter which is the Permittivity of Vacuum (\u03b5o<\/sub>), Electric Field Intensity (E)<\/strong> and Polarization (P).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Permittivity of Vacuum (\u03b5o<\/sub>)<\/strong> is 8<\/strong>, Electric Field Intensity (E)\u00a0<\/strong>is\u00a06<\/strong> and Polarization (P)<\/strong> is 2<\/strong>.<\/p>\n

\"How<\/p>\n

Finally, Click on Calculate<\/p>\n

\"How<\/p>\n

As you can see from\u00a0the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the dielectric displacement in relation to polarization and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image of dielectric displacement in relation to polarization is illustrated below. To calculate dielectric displacement in relation…","protected":false},"author":5,"featured_media":16137,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":""},"categories":[47],"tags":[2204,103,2155,60,543,2201,2203],"class_list":["post-7886","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-dielectric-displacement-in-relation-to-polarization","tag-electric-field-intensity","tag-electrical-properties","tag-engineering","tag-materials-and-metallurgical","tag-permittivity-of-vaccum","tag-polarization","cs-entry"],"yoast_head":"\nHow 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