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| Answer» <html><body><p><strong>Answer :</strong></p><p></p><p><strong>✴</strong> <u>Eq. resistance of <a href="https://interviewquestions.tuteehub.com/tag/series-1201802" style="font-weight:bold;" target="_blank" title="Click to know more about SERIES">SERIES</a></u> :</p><p><img align="absmiddle" alt="\bigstar\:\boxed{\tt{R=R_1+R_2}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.<klux>NET</klux>/?f=%5Cbigstar%5C%3A%5Cboxed%7B%5Ctt%7BR%3DR_1%2BR_2%7D%7D" title="\bigstar\:\boxed{\tt{R=R_1+R_2}}"/></p><p><strong>✴</strong><strong> </strong><u>Eq. resistance of parallel</u> :</p><p><img align="absmiddle" alt="\bigstar\:\boxed{\tt{\dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}}}" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=%5Cbigstar%5C%3A%5Cboxed%7B%5Ctt%7B%5Cdfrac%7B1%7D%7BR%7D%3D%5Cdfrac%7B1%7D%7BR_1%7D%2B%5Cdfrac%7B1%7D%7BR_2%7D%7D%7D" title="\bigstar\:\boxed{\tt{\dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}}}"/></p><p></p><p>➳ As per ohm's <a href="https://interviewquestions.tuteehub.com/tag/law-184" style="font-weight:bold;" target="_blank" title="Click to know more about LAW">LAW</a>, <a href="https://interviewquestions.tuteehub.com/tag/current-940804" style="font-weight:bold;" target="_blank" title="Click to know more about CURRENT">CURRENT</a> flow through a <a href="https://interviewquestions.tuteehub.com/tag/conductor-928880" style="font-weight:bold;" target="_blank" title="Click to know more about CONDUCTOR">CONDUCTOR</a> is directly proportional to the applied potential difference.</p><p>Mathematically, <strong><u>V = I × R</u></strong></p><p></p><p>✪ <u>Eq. of upper part (series)</u> :</p><p><img align="absmiddle" alt="\longrightarrow\tt\:R=R_1+R_2\\ \\ \longrightarrow\tt\:R=10+20\\ \\ \longrightarrow\tt\:R=30\Omega" class="latex-formula" id="TexFormula3" src="https://tex.z-dn.net/?f=%5Clongrightarrow%5Ctt%5C%3AR%3DR_1%2BR_2%5C%5C%20%5C%5C%20%5Clongrightarrow%5Ctt%5C%3AR%3D10%2B20%5C%5C%20%5C%5C%20%5Clongrightarrow%5Ctt%5C%3AR%3D30%5COmega" title="\longrightarrow\tt\:R=R_1+R_2\\ \\ \longrightarrow\tt\:R=10+20\\ \\ \longrightarrow\tt\:R=30\Omega"/></p><p>✪ <u>Eq. of lower part (series)</u> :</p><p><img align="absmiddle" alt="\longrightarrow\tt\:R'=R_3+R_4\\ \\ \longrightarrow\tt\:R'=5+25\\ \\ \longrightarrow\tt\:R'=30\Omega" class="latex-formula" id="TexFormula4" src="https://tex.z-dn.net/?f=%5Clongrightarrow%5Ctt%5C%3AR%27%3DR_3%2BR_4%5C%5C%20%5C%5C%20%5Clongrightarrow%5Ctt%5C%3AR%27%3D5%2B25%5C%5C%20%5C%5C%20%5Clongrightarrow%5Ctt%5C%3AR%27%3D30%5COmega" title="\longrightarrow\tt\:R'=R_3+R_4\\ \\ \longrightarrow\tt\:R'=5+25\\ \\ \longrightarrow\tt\:R'=30\Omega"/></p><p>✪ <u>Net eq. of circuit (parallel)</u> :</p><p><img align="absmiddle" alt="\longrightarrow\tt\:\dfrac{1}{R_{eq}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}\\ \\ \longrightarrow\tt\:\dfrac{1}{R_{eq}}=\dfrac{1}{30}+\dfrac{1}{30}\\ \\ \longrightarrow\tt\:\dfrac{1}{R_{eq}}=\dfrac{2}{30}\\ \\ \longrightarrow\underline{\boxed{\bf{R_{eq}=15\Omega}}}" class="latex-formula" id="TexFormula5" src="https://tex.z-dn.net/?f=%5Clongrightarrow%5Ctt%5C%3A%5Cdfrac%7B1%7D%7BR_%7Beq%7D%7D%3D%5Cdfrac%7B1%7D%7BR_1%7D%2B%5Cdfrac%7B1%7D%7BR_2%7D%5C%5C%20%5C%5C%20%5Clongrightarrow%5Ctt%5C%3A%5Cdfrac%7B1%7D%7BR_%7Beq%7D%7D%3D%5Cdfrac%7B1%7D%7B30%7D%2B%5Cdfrac%7B1%7D%7B30%7D%5C%5C%20%5C%5C%20%5Clongrightarrow%5Ctt%5C%3A%5Cdfrac%7B1%7D%7BR_%7Beq%7D%7D%3D%5Cdfrac%7B2%7D%7B30%7D%5C%5C%20%5C%5C%20%5Clongrightarrow%5Cunderline%7B%5Cboxed%7B%5Cbf%7BR_%7Beq%7D%3D15%5COmega%7D%7D%7D" title="\longrightarrow\tt\:\dfrac{1}{R_{eq}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}\\ \\ \longrightarrow\tt\:\dfrac{1}{R_{eq}}=\dfrac{1}{30}+\dfrac{1}{30}\\ \\ \longrightarrow\tt\:\dfrac{1}{R_{eq}}=\dfrac{2}{30}\\ \\ \longrightarrow\underline{\boxed{\bf{R_{eq}=15\Omega}}}"/></p><p>✪ <u>Current flow</u> :</p><p><img align="absmiddle" alt="\longrightarrow\tt\:V=I\times R_{eq}\\ \\ \longrightarrow\tt\:12=I\times 15\\ \\ \longrightarrow\underline{\boxed{\bf{I=0.8A}}}" class="latex-formula" id="TexFormula6" src="https://tex.z-dn.net/?f=%5Clongrightarrow%5Ctt%5C%3AV%3DI%5Ctimes%20R_%7Beq%7D%5C%5C%20%5C%5C%20%5Clongrightarrow%5Ctt%5C%3A12%3DI%5Ctimes%2015%5C%5C%20%5C%5C%20%5Clongrightarrow%5Cunderline%7B%5Cboxed%7B%5Cbf%7BI%3D0.8A%7D%7D%7D" title="\longrightarrow\tt\:V=I\times R_{eq}\\ \\ \longrightarrow\tt\:12=I\times 15\\ \\ \longrightarrow\underline{\boxed{\bf{I=0.8A}}}"/></p></body></html> | |