Question 10: Current Electricity

Question

The effective resistance between p and q in
given figure is
![](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1m59ebhkp/87818f2c-b20a-4428-b928-1cbe8e5f1787/899f6a90-c5c5-11ef-9ad1-6d283e3c94c4/file-jaoe38c1m59ebhkq.png?format=png)

Accepted Answer

Figure is equivalent to the one shown
below.
It is a WheatstoneÃ¢ÂÂs bridge in which
$\begin{aligned}
& P=\frac{6 	imes 3}{6+3}=2 \Omega \\
& Q=\frac{8}{2}=4 \Omega \\
& R=\frac{4}{2}=2 \Omega 	ext { and } S=\frac{20 	imes 5}{20+5}=4 \Omega
\end{aligned}$
We find that $\frac{P}{Q}=\frac{2}{4}=\frac{R}{S}$
i.e. the bridge is balanced. Effective resistance between $p$ and $q$
$\begin{aligned}
R_{A B} & =\frac{(P+Q)(R+S)}{P+Q+R+S}=\frac{(2+4)(2+4)}{2+4+2+4} \\
& =\frac{6 	imes 6}{12}=3 \Omega
\end{aligned}$
![](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1m59euo3v/7c967ca8-665d-4de7-9cb2-9ff372d3b376/9f0ae5b0-c5c7-11ef-9ad1-6d283e3c94c4/file-jaoe38c1m59euo3w.png?format=png)

Answer

2$\Omega$

Answer

3$\Omega$

Answer

5$\Omega$

Answer

6$\Omega$

Current Electricity

The effective resistance between p and q in given figure is

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