A ring is made of a wire having a resistance $R_0=12 \Omega$ . Find the points $A$ and $B$ , as shown in the figure, at which a current carrying conductor should be connected so that the resistance $R$ of the sub circuit between these points is equal to $8 / 3 \Omega$

Question

A ring is made of a wire having a resistance

R_0=12 \Omega

. Find the points

A

and

B

, as shown in the figure, at which a current carrying conductor should be connected so that the resistance

R

of the sub circuit between these points is equal to

8 / 3 \Omega

A ring is made of a wire having a resistance R_0=12 . Find the points A and B , as shown in the figure, at which a

Quantrex Academy · Accepted Answer

Correct answer: D. (l_1)/(l_2)=(1)/(2)

We knows R l Here, R_1+R_2=12 and (R_1 × R_2)/(R_1+R_2)=(8)/(3) R_1 R_2=32 We get, R_1=8 and R_2=4 Again, R_1=(12 l_1)/(l_1+l_2) and R_2=(12 l_2)/(l_1+l_2) Hence, (l_1)/(l_2)=(1)/(2)

A ring is made of a wire having a resistance R_0=12 . Find the...

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