An infinite wire carrying current i=io sin ωt is kept along the axis of a toroid of mean radius a. The cross sectional area of the toroid is A(<<a2). Resistance of toroid is R, the mean power dissipated P in the toroid is n×10−2 W, find n.Number of turns in toroid =N,io=10 A,ω=100 rad/s,N=1000,A=1 cm2,a=10 cm,R=1 μΩ.

An infinite wire carrying current i=io sin ωt is kept along the axis

1.	An infinite wire carrying current i=io sin ωt is kept along the axis of a toroid of mean radius a. The cross sectional area of the toroid is A(<<a2). Resistance of toroid is R, the mean power dissipated P in the toroid is n×10−2 W, find n.Number of turns in toroid =N,io=10 A,ω=100 rad/s,N=1000,A=1 cm2,a=10 cm,R=1 μΩ.
Answer» An infinite wire carrying current $i = i_{o}$ sin $ω t$ is kept along the axis of a toroid of mean radius a. The cross sectional area of the toroid is $A (<< a^{2})$ . Resistance of toroid is $R$ , the mean power dissipated P in the toroid is $n \times 10^{- 2} W,$ find $n$ . Number of turns in toroid $= N, i_{o} = 10 A, ω = 100 r a d / s, N = 1000, A = 1 c m^{2}, a = 10 c m, R = 1 μ Ω$ .

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