{"id":388,"date":"2025-02-20T19:23:52","date_gmt":"2025-02-20T18:23:52","guid":{"rendered":"https:\/\/knutsson.dk\/wordpress\/?page_id=388"},"modified":"2025-02-23T22:52:38","modified_gmt":"2025-02-23T21:52:38","slug":"capacitors","status":"publish","type":"page","link":"http:\/\/knutsson.dk\/wordpress\/electronics\/math\/capacitors\/","title":{"rendered":"Capacitors"},"content":{"rendered":"

Formulas for Capacitors in series and capacitors in parallel. Description of the RC Time Constant. <\/p><\/div>\n\n\n

\n

Capacitors in series<\/h2>\n\n\n\n
\n

The total capacitance $c_{\\text{total}}$ of capacitor in seriel is the reciprocal of the sum of their reciprocals:<\/p>\n

$C_{\\text{total}} = \\frac{1}{\\frac{1}{C_1} + \\frac{1}{C_2} + \\frac{1}{C_3} + \\dots + \\frac{1}{C_n}}$<\/p>\n<\/div>\n\n\n\n

\n
\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n
\n\n\n\n
\n

Capacitors in parallel<\/h2>\n<\/div>\n\n\n\n
\n

The total capacitance $C_{\\text{total}}$ of capacitor in paralel is the sum of their individual capacitance: <\/p>\n

$C_{\\text{total}} = C_1 + C_2 + C_3 + \\dots + C_n$<\/p>\n<\/div>\n\n\n\n

\n
\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n\n\n\n
\n\n\n\n
\n

RC Time Constant<\/h2>\n<\/div>\n\n\n\n
\n

The time constant $\\tau$ of an RC circuit is the product of the resistance $R$ and capacitance $C$ :<\/p>\n

$\\tau = R \\times C$<\/p>\n\n\n\n
$1\\tau$<\/th>\n$2\\tau$<\/th>\n$3\\tau$<\/th>\n$4\\tau$<\/th>\n$5\\tau$<\/th>\n@1V<\/td>\n<\/tr>\n
0.632V<\/td>\n0.864V<\/td>\n0.950V<\/td>\n0.981V<\/td>\n0.993V<\/td>\n<\/tr>\n<\/table>\n<\/div>\n\n\n\n
\n
\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Formulas for Capacitors in series and capacitors in parallel. Description of the RC Time Constant.<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":385,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"_s2mail":"yes","ngg_post_thumbnail":0,"footnotes":""},"class_list":["post-388","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/knutsson.dk\/wordpress\/wp-json\/wp\/v2\/pages\/388","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/knutsson.dk\/wordpress\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/knutsson.dk\/wordpress\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/knutsson.dk\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/knutsson.dk\/wordpress\/wp-json\/wp\/v2\/comments?post=388"}],"version-history":[{"count":16,"href":"http:\/\/knutsson.dk\/wordpress\/wp-json\/wp\/v2\/pages\/388\/revisions"}],"predecessor-version":[{"id":625,"href":"http:\/\/knutsson.dk\/wordpress\/wp-json\/wp\/v2\/pages\/388\/revisions\/625"}],"up":[{"embeddable":true,"href":"http:\/\/knutsson.dk\/wordpress\/wp-json\/wp\/v2\/pages\/385"}],"wp:attachment":[{"href":"http:\/\/knutsson.dk\/wordpress\/wp-json\/wp\/v2\/media?parent=388"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}