The angle of dip at a place is 3 7 ∘ and the vertical component of the earth's magnetic field is 6 × 1 0 − 5 T . The earth's magnetic field at this place is ( tan 3 7 ∘ = 4 3 )

tan θ = H V = 4 3 [ ∵ tan 3 7 ∘ = 4 3 ] ∴ V = 4 3 H V = 6 × 1 0 − 5 T H = 3 4 × 6 × 1 0 − 5 T = 8 × 1 0 − 5 T ∴ B total = V 2 + H 2 = ( 36 + 64 ) × 1 0 − 5 = 10 × 1 0 − 5 = 1 0 − 4 T .

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PhysicsMagnetismMiscellaneousMedium2 minPYQ_2021

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The angle of dip at a place is $3 7^{\circ}$ and the vertical component of the earth's magnetic field is $6 \times 1 0^{- 5} T$ . The earth's magnetic field at this place is $(tan 3 7^{\circ} = \frac{3}{4})$

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$tan θ = \frac{V}{H} = \frac{3}{4} [∵ tan 3 7^{\circ} = \frac{3}{4}]$ $∴ V = \frac{3}{4} H$ $V = 6 \times 1 0^{- 5} T$ $H = \frac{4}{3} \times 6 \times 1 0^{- 5} T = 8 \times 1 0^{- 5} T$ $∴ B_{total} = V^{2} + H^{2} = (36 + 64) \times 1 0^{- 5}$ $= 10 \times 1 0^{- 5} = 1 0^{- 4} T .$

Stream:BITSATSubject:PhysicsTopic:MagnetismSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2021

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