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QJEEM20Phfcb6: JEE Main 2020 Physics - Class 12 JEEM20Phfcb6 Solution: A wire A, bent in the shape of an arc of a circle, carrying a…

A wire A, bent in the shape of an arc of a circle, carrying a current of 2 A and having radius 2 cm and another wire B, also bent in the shape of arc of a circle, carrying a current of 3 A and having radius of 4 cm, are placed as shown in the figure. The ratio of the magnetic fields due to the wires A and B at the common centre O is : JEE Main 2020 (Online) 4th September Morning Slot Physics - Magnetic Effect of Current Question 137 English

Multiple Choice Options

  • A 4:06
  • B 6:04
  • C 2:05
  • D 6:05

Step-by-Step Verified Solution

Using formula, B=μ0i2r(θ2π)

BA=μ(2)(3π2)2(a)(2π)=3μ4a

BB=μ(3)(5π3)2(2a)(2π)=5μ8a

∴ BABB=3μ4a×8a5μ=6:5

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