1.

A circular coil of 10 turns and mean radius of 0.1 m is kept with its plane in the magnetic meridian. If a current of 2 A passes through it, calculate the resultant magnetic field at its centre. (B_(H)=4 times 10^(-5)T)

Answer»

Solution :Magnetic FIELD at the centre,
`""=(mu_(0)/(4pi))((2pini)/(R))tesla`
`""B_(C)=(10^(-7) times 2 times 3.142 times 10.2)/(0.1) tesla`
`""=12.57 times 10^(-5)T.`
`""B_(R)=sqrt(B_(H)^(2)+B_(C)^(2))`
`""=10^(-5)sqrt((4)^(2)+(12.57)^(2))`
`""=10^(-5)sqrt(174.0)`
`""B_(R)=13.19 times 10^(-5)T`
Resultant magnetic field `=13.2 times 10^(-5)T`.


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