Question 617: Current Electricity

Question

A uniform metal wire of length $$l$$ has $$10 \Omega$$ resistance. Now this wire is stretched to a length $$2l$$ and then bent to form a perfect circle. The equivalent resistance across any arbitrary diameter of that circle is

Accepted Answer

$$R_0=10 \Omega$$
After stretching its length upto $$2l$$
$$\begin{aligned}
R_1 & =n^2 R_0 \
& =4 R_0 \
& =40 \Omega
\end{aligned}$$
$$R_{A B}=\frac{20 	imes 20}{20+20}=10 \Omega$$

Answer

$$10 \Omega$$

Answer

$$5 \Omega$$

Answer

$$40 \Omega$$

Answer

$$20 \Omega$$

Current Electricity

A uniform metal wire of length $l has 10 \Omega resistance. Now this wire is stretched to a length 2l$ and then bent to form a perfect circle. The equivalent resistance across any arbitrary diameter of that circle is

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