A 0.5 m long solenoid has 500 tuns and has a flux density of `2.52 xx 10^-3 T` at its centre. Find the current in the solenoid. Given`mu_0 = 4pi xx 10^-7 H m^-1`
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`l = 0.5 m ` `N = 500` `B = 2.52 xx 10^(-3)T` `B = mu_0 n I` But `n = N//l` `therefore B = mu_0 (N)/l l` `implies 2.52 xx 10^(-3) = 4 pi xx 10^(-7) xx 500/(0.5) xx I` `implies I = (2.52 xx 10^(-3) xx 0.5)/(4pi xx 10^(-7) xx 500)` `implies I = 0.201 xx 10^1 A` `implies 2.01 A` `therefore I = 2.01 A`
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