{"id":3996,"date":"2022-06-01T08:17:40","date_gmt":"2022-06-01T08:17:40","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=3996"},"modified":"2022-06-01T08:17:40","modified_gmt":"2022-06-01T08:17:40","slug":"voltage-divider","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/01\/voltage-divider\/","title":{"rendered":"Voltage Divider"},"content":{"rendered":"\n

Voltage divider rule for DC circuit<\/h2>\n\n\n\n

For a DC circuit with constant voltage source VT<\/sub> and resistors in series, the voltage drop Vi<\/sub> in resistor Ri<\/sub> is given by the formula:<\/p>\n\n\n\n

\"V_i=V_T\\:<\/figure>\n\n\n\n

V<\/em>i<\/sub> – voltage drop in resistor Ri<\/sub> in volts [V].<\/p>\n\n\n\n

VT<\/sub><\/em> – the equivalent voltage source or voltage drop in volts [V].<\/p>\n\n\n\n

R<\/em>i<\/sub> – resistance of resistor R<\/em>i<\/sub> in ohms [\u03a9].<\/p>\n\n\n\n

R<\/em>1<\/sub> – resistance of resistor R<\/em>1<\/sub> in ohms [\u03a9].<\/p>\n\n\n\n

R<\/em>2<\/sub> – resistance of resistor R<\/em>2<\/sub> in ohms [\u03a9].<\/p>\n\n\n\n

R<\/em>3<\/sub> – resistance of resistor R<\/em>3<\/sub> in ohms [\u03a9].<\/p>\n\n\n\n

Example<\/h4>\n\n\n\n

Voltage source of VT<\/sub>=30V is connected to resistors in series, R1<\/sub>=30\u03a9, R2<\/sub>=40\u03a9.<\/p>\n\n\n\n

Find the voltage drop on resistor R2<\/sub>.<\/p>\n\n\n\n

V<\/em>2<\/sub> = V<\/em>T<\/sub> \u00d7 R<\/em>2 <\/sub>\/ (R<\/em>1<\/sub>+R<\/em>2<\/sub>) = 30V \u00d7 40\u03a9 \/ (30\u03a9+40\u03a9) = 17.14V<\/p>\n\n\n\n

<\/a>Voltage divider for AC circuit<\/h2>\n\n\n\n

For an AC circuit with voltage source VT<\/sub> and loads in series, the voltage drop Vi<\/sub> in load Zi<\/sub> is given by the formula:<\/p>\n\n\n\n

\"V_i=V_T\\:<\/figure>\n\n\n\n

V<\/em>i<\/sub> – voltage drop in load Zi<\/sub> in volts [V].<\/p>\n\n\n\n

VT<\/sub><\/em> – the equivalent voltage source or voltage drop in volts [V].<\/p>\n\n\n\n

Z<\/em>i<\/sub> – impedance of load Z<\/em>i<\/sub> in ohms [\u03a9].<\/p>\n\n\n\n

Z<\/em>1<\/sub> – impedance of load Z<\/em>1<\/sub> in ohms [\u03a9].<\/p>\n\n\n\n

Z<\/em>2<\/sub> – impedance of load Z<\/em>2<\/sub> in ohms [\u03a9].<\/p>\n\n\n\n

Z<\/em>3<\/sub> – impedance of load Z<\/em>3<\/sub> in ohms [\u03a9].<\/p>\n\n\n\n

Example<\/h4>\n\n\n\n

Voltage source of VT<\/sub>=30V\u221f60\u00b0 is connected to loads in series, Z1<\/sub>=30\u03a9\u221f20\u00b0, Z2<\/sub>=40\u03a9\u221f-50\u00b0.<\/p>\n\n\n\n

Find the voltage drop in load Z1<\/sub>.<\/p>\n\n\n\n

V<\/em>2<\/sub> = V<\/em>T<\/sub> \u00d7 Z<\/em>1 <\/sub>\/ (Z<\/em>1<\/sub>+Z<\/em>2<\/sub>)<\/p>\n\n\n\n

      = 30V\u221f60\u00b0 \u00d7 30\u03a9\u221f20\u00b0 \/ (30\u03a9\u221f20\u00b0+40\u03a9\u221f-50\u00b0)      <\/p>\n\n\n\n

      = 30V\u221f60\u00b0 \u00d7 30\u03a9\u221f20\u00b0 \/ (30cos(20)+j30sin(20)+40cos(-50)+j40sin(-50))<\/p>\n\n\n\n

      = 30V\u221f60\u00b0 \u00d7 30\u03a9\u221f20\u00b0 \/ (28.19+j10.26+25.71-j30.64)<\/p>\n\n\n\n

      = 30V\u221f60\u00b0 \u00d7 30\u03a9\u221f20\u00b0 \/ (53.9-j20.38)<\/p>\n\n\n\n

      = 30V\u221f60\u00b0 \u00d7 30\u03a9\u221f20\u00b0 \/ 57.62\u03a9\u221f-20.71\u00b0<\/p>\n\n\n\n

      = (30V\u00d730\u03a9\/57.62\u03a9) \u221f (60\u00b0+20\u00b0+20.71\u00b0)<\/p>\n\n\n\n

      = 15.62V\u221f100.71\u00b0<\/p>\n","protected":false},"excerpt":{"rendered":"

Voltage divider rule for DC circuit For a DC circuit with constant voltage source VT and resistors in series, the voltage drop Vi in resistor Ri is given by the formula: Vi – voltage drop in resistor Ri in volts [V]. VT – the equivalent voltage source or voltage drop in volts [V]. Ri – resistance of resistor Ri in ohms [\u03a9]. R1 – resistance […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[413],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/3996"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=3996"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/3996\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=3996"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=3996"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=3996"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}