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There are three current carrying loops a...

There are three current carrying loops as shown in the figure. Currents in the loop and radii of loops are given in the figure. Also loops I, II and III are isolated separately.

Magnitude of magnetic fields at centres `C_1, C_2 " and " C_3` are `B_1, B_2 " and "B_3` respectively. Which of the following statements is correct?

A

`B_1 = B_2 = B_3` and direction of magnetic field in loop III at C is into the page.

B

`B_1 = B_2 = 3B_3` and direction of magnetic field in loop III at `C_1` is out of the page.

C

`2B_1 = 2B_2 =B_3` and direction of magnetic field in loop I at `C_2` is out of the page.

D

`B_1 = B_2 = 3B_3` and direction of magnetic field in loop III at `C_3` is into the page.

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