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Question: Answered & Verified by Expert
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?
PhysicsMagnetic Effects of CurrentWBJEEWBJEE 2022
Options:
  • A $2 \pi \mathrm{rBI}$
  • B $\frac{1}{2} \pi \mathrm{rBI}$
  • C $\mathrm{BIr}$
  • D $2 \mathrm{BIr}$
Solution:
1347 Upvotes Verified Answer
The correct answer is: $\mathrm{BIr}$


$F_B=i \times 2 r \times B$
$2 F=F_B$
$F=i r B$

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