Two similar coils of radius `R` are lying concentriclaly with their planes at right angels to each other. The currents flowing in them are `I` and `2I` respectively. The resulant magntic field induction at the centre will beA. `(mu_(0)I)/(2R)`B. `(mu_(0)I)/(R )`C. `(sqrt(5)mu_(0)I)/(2R)`D. `(3mu_(0)I)/(2R)`

Two similar coils of radius `R` are lying concentriclaly with their pl

1.	Two similar coils of radius `R` are lying concentriclaly with their planes at right angels to each other. The currents flowing in them are `I` and `2I` respectively. The resulant magntic field induction at the centre will beA. `(mu_(0)I)/(2R)`B. `(mu_(0)I)/(R )`C. `(sqrt(5)mu_(0)I)/(2R)`D. `(3mu_(0)I)/(2R)`
Answer» Correct Answer - C Magentic field at the centre of circular current carrying coil of radius R and current I is `=(mu_(0)I)/(R )=B` Magnetic field at the centre of circular current carrying coil of radius R and current 2I is `=(mu_(0)2I)/(2R)=2B` The resulting magnetic field will be `=sqrt(B^(2)+4B^(2))=sqrt(5)B`

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