Question 420: Current Electricity

Question

If the potential difference between $\mathrm{B}$ and $\mathrm{D}$ is zero, the value of $x$ is $\frac{1}{n} \Omega$. The value of $n$ is __________.

Accepted Answer

The circuit is a Wheatstone bridge, so
$${{{{6 	imes 3} \over {6 + 3}}} \over {{{x 	imes 1} \over {x + 1}}}} = {{1 + 2} \over x}$$
$$ \Rightarrow {{2(x + 1)} \over x} = {3 \over x}$$
$$ \Rightarrow x = {1 \over 2}$$
So $$n = 2$$

Current Electricity

If the potential difference between \mathrm{B} and \mathrm{D} is zero, the value of x is \frac{1}{n} \Omega. The value of n is __________.

Choose the correct answer: