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Two similar coils of radius R are lying concentrically with their planes at right angles to each other. The currents flowing in them are I and 2 I, respectively. The resultant magnetic field induction at the centre will be:
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√5μ0l 2R -
3μ0l 2R -
μ0l 2R -
μ0l R
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Correct Option: A
The magnetic field, due the coil, carrying current I Ampere
| B1 = | ||
| 2R |
The magnetic field due to the coil, carrying current 2I Ampere
| B2 = | ||
| 2R |
The resultant B
Bnet = √B1² + B2² + 2B1B2 cosθ = θ = 90°
| Bnet = √B1² + B2² = | √1 + 4 | |
| 2R |
| = | ||
| 2R |
