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Three rings each having equal radius R are placed mutually perpendicular to each other and each having its center at the origin of co-ordinates system. If current I is flowing through each ring then the magnitude of the magnetic field at the common center is

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a

3μoI2R

b

Zero

c

(2−1)μoI2R

d

(3−2)μoI2R

answer is A.

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Detailed Solution

Field at center of current carrying loop = μoi2R ∴B→net=B1i^+B2j^+B3k^=μoi2Ri^+μoi2Rj^+μoi2Rk^ Magnitude of B→net =3μoi2R
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Three rings each having equal radius R are placed mutually perpendicular to each other and each having its center at the origin of co-ordinates system. If current I is flowing through each ring then the magnitude of the magnetic field at the common center is