At a certain place, the horizontal component is \( B_0 \) and the vertical component is \( V_0 \). If \( B_0 = V_0 \) then the total magnetic field at that place will be:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \( \sqrt{2}\,B_0 \)
The horizontal and vertical components of the earth's magnetic field are at right angles, so the total field is their vector sum.
\( \displaystyle B = \sqrt{B_0^{2} + V_0^{2}} \)
Putting \( V_0 = B_0 \):
\( \displaystyle B = \sqrt{B_0^{2} + B_0^{2}} = \sqrt{2}\,B_0 \)