Problem 53770. Total resistance of resistors in parallel

Created by Mark Posen

Solve Later

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w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Your function should take the vector R as its input and return the total resistance (in Ohm) of the parallel resistors.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Hint: see </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\"><w:r><w:t>https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors</w:t></w:r></w:hyperlink></w:p></w:body></w:document>","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image1.png","relationshipId":"rId1"}]},{"partUri":"/media/image1.png","contentType":"image/png","content":"data:image/png;base64,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<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 267.75px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 133.875px; transform-origin: 407px 133.875px; vertical-align: baseline; "><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 195.258px 7.75px; transform-origin: 195.258px 7.75px; unicode-bidi: normal; "><span style="">What is the total resistance of a number of resistors in parallel?</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 148.567px 7.75px; transform-origin: 148.567px 7.75px; unicode-bidi: normal; "><span style="">A vector R contains the resistances (in Ohm) of </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 7.75px; transform-origin: 3.89167px 7.75px; unicode-bidi: normal; "><span style="font-style: italic; ">n</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 130.317px 7.75px; transform-origin: 130.317px 7.75px; unicode-bidi: normal; "><span style=""> resistors, which are connected in parallel:</span></span></div><div style="block-size: 147.75px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 73.875px; text-align: left; transform-origin: 384px 73.875px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline;width: 284px;height: 142px" 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" data-image-state="image-loaded" width="284" height="142"></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 351.358px 7.75px; transform-origin: 351.358px 7.75px; unicode-bidi: normal; "><span style="">Your function should take the vector R as its input and return the total resistance (in Ohm) of the parallel resistors.</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.5583px 7.75px; transform-origin: 29.5583px 7.75px; unicode-bidi: normal; "><span style="">Hint: see </span></span><a target='_blank' href = "https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors"><span style=""><span style="">https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors</span></span></a></div></div></div>

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Solution 7348470

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Luong on 24 Mar 2022

good solution ^-^

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Problem 53770. Total resistance of resistors in parallel

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Problem 53770. Total resistance of resistors in parallel

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