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Q. 2.17

Consider the following circuit involving seven resistors connected to a 35V voltage source.Find $v_{x}$.

Verified Solution

By using the formulas for series and parallel connections, we systematically find equivalent resistances to reduce the circuit.We have

$R_{eq1}=\frac{30\times 50}{30+ 50} =\frac{75}{4}\Omega$

$R_{eq2}=\frac{89}{4}+ R_{eq1}+19 =\frac{89}{4}+\frac{75}{4}+19=60\Omega$

$R_{eq3}=\frac{30\times R_{eq2}}{30+R_{eq2}} =\frac{30\times 60}{30+60}=20\Omega$

$R_{eq4}=5+R_{eq3}+10=35\Omega$

Then the current is simply

$i_{x}=\frac{35}{35} =1A$