WBJEE · Physics · Magnetic Effects of Current
A horizontal semi-circular wire of radius \(\mathrm{r}\) is connected to a battery through two similar springs \(\mathrm{X}\) and \(\mathrm{Y}\) to an electric cell, which sends current I through it. A vertically downward uniform magnetic field B is applied on the wire, as shown in the figure. What is the force acting on each spring?
- A \(2 \pi \mathrm{rBI}\)
- B \(\frac{1}{2} \pi \mathrm{rBI}\)
- C \(\mathrm{BIr}\)
- D \(2 \mathrm{BIr}\)
Answer & Solution
Correct Answer
(C) \(\mathrm{BIr}\)
Step-by-step Solution
Detailed explanation
\(F_B=i \times 2 r \times B\) \(2 F=F_B\) \(F=i r B\)
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