Question

The vertical component of the earth's magnetic field is 6 × 10-5 T at any place where the angle of dip is 37°. The earth's resultant magnetic field at that place will be (Given tan 37° = ¾)

• A. 8x10-5 T
• B. 6x10-5 T
• C. 5x10-4 T
• D. 1x10-4 T

Answer 1

Answer: (D)

1x10-4 T

Answer 2

Bv=B0 sin θ
B0=$\frac{B_v}{sin⁡θ}$
The earth’s resultant magnetic field,
$B_0=\frac{6×10^{−5}}{sin⁡37^∘}$
$=\frac{6×10−5}{3}×5$
=1×10–4 T
So, the correct option is (D): 1×10–4 T.