AP EAMCET · PHYSICS · Magnetic Effects of Current
Two wires \(A\) and \(B\) are of lengths \(40 \mathrm{~cm}\) and \(30 \mathrm{~cm}\). \(A\) is bent into a circle of radius \(r\) and \(B\) into an arc of radius \(r\). A current \(i_1\) is passed through \(A\) and \(i_2\) through \(B\). To have the same magnetic inductions at the centre, the ratio of \(i_1: i_2\) is
- A \(3: 4\)
- B \(3: 5\)
- C \(2: 3\)
- D \(4: 3\)
Answer & Solution
Correct Answer
(A) \(3: 4\)
Step-by-step Solution
Detailed explanation
For wire \(A\), \(B_1=\frac{\mu_0 \dot{l}_1}{2 r}\) where \(r=\frac{40}{2 \pi}\) For wire \(B\), \(\begin{aligned} \text { Circumference } & =\text { length } \\ n \pi r & =30\end{aligned}\) or \(\quad n \pi=\frac{30}{r}=\frac{30}{40 / 2 \pi}=\frac{3}{2} \pi\)…
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