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(B) The circuit consists of a central node connected to points $a$,$b$,and the top vertex. Let the top vertex be $c$. The resistors connected to $c$ a

Vedclass · Accepted Answer

$3.2$

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(B) The circuit consists of a central node connected to points $a$,$b$,and the top vertex. Let the top vertex be $c$. The resistors connected to $c$ are in series with the resistors connected to $a$ and $b$. Specifically,the branch from $a$ to $c$ has two $4\,\Omega$ resistors in series,giving $4+4=8\,\Omega$. The branch from $b$ to $c$ has two $4\,\Omega$ resistors in series,giving $4+4=8\,\Omega$. These two branches are in parallel with each other,and their equivalent resistance is $\frac{8 	imes 8}{8+8} = 4\,\Omega$. Finally,this $4\,\Omega$ equivalent resistance is in parallel with the $16\,\Omega$ resistor connected directly between $a$ and $b$. $R_{eq} = \frac{4 	imes 16}{4+16} = \frac{64}{20} = 3.2\,\Omega$.

The equivalent resistance of the circuit shown below between points $a$ and $b$ is $..........\Omega$

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