TS EAMCET · Physics · Magnetic Effects of Current
The magnetic field at a point P on the axis of a short bar magnet of magnetic moment M is B. If another short bar magnet of magnetic moment 2 M is placed on the first magnet such that their axes are perpendicular and their centres coincide. The resultant magnetic field at the point P due to both the magnets is
- A 3 B
- B \(\sqrt{3} B\)
- C \(\sqrt{2} \mathrm{~B}\)
- D 2 B
Answer & Solution
Correct Answer
(C) \(\sqrt{2} \mathrm{~B}\)
Step-by-step Solution
Detailed explanation
Magnetic field at P due to first magnet (axial): \( B_1 = \frac{\mu_0}{4\pi} \frac{2M}{r^3} \). Given \( B_1 = B \). Magnetic field at P due to second magnet (equatorial): \( B_2 = \frac{\mu_0}{4\pi} \frac{2M}{r^3} \). Thus, \( B_2 = B \). Since the magnets are perpendicular,…
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