The horizontal component of earth's magnetic field at a place is $$0.3$$×$$10$$−$$4$$ T. If the angle of dip is $$60$$°, what is the total earth's magnetic field in μT?

Here, δ$$=60$$∘; $$BH=0.3$$×$$10$$−$$4$$ TNow, $$BH=Bcos$$⁡δor $$B=BHcos$$⁡δ$$=0.3$$×$$10$$−$$4cos$$⁡$$60$$∘$$=0.3$$×$$10$$−$$40.5=0.6$$×$$10$$−$$4$$ $$T=60$$ μT

Magnetic elements of Earth

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Question

The horizontal component of earth's magnetic field at a place is $0.3 \times 10^{- 4}$ T. If the angle of dip is 60°, what is the total earth's magnetic field in $μ$ T?

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Solution

Here, $δ = 60^{\circ}; B_{H} = 0 .3 \times 10^{- 4} T$
Now, $B_{H} = Bcos δ$
or $B = \frac{B_{H}}{\cos δ} = \frac{0 .3 \times 10^{- 4}}{\cos 60^{\circ}} = \frac{0 .3 \times 10^{- 4}}{0 .5} = 0 .6 \times 10^{- 4} T = 60 μT$

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