A straight wire of mass 300 g and length 1.5 m carries a current of 2 A. It is suspended in mid air by a uniform horizontal magnetic field. The magnitude of the magnetic field is (Neglect the earth's magnetic field and $g = 10 m/s^2$) |
3 T 2 T 1 T 0.5 T |
1 T |
The correct answer is Option (3) → 1 T Given: Mass of wire $m = 300 \, g = 0.3 \, kg$ Length of wire $L = 1.5 \, m$ Current $I = 2 \, A$ Gravitational acceleration $g = 10 \, m/s^2$ Weight of wire: $W = m g = 0.3 \times 10 = 3 \, N$ Magnetic force on wire: $F = B I L$ For suspension in mid air: $F = W$ $B I L = W$ $B = \frac{W}{I L} = \frac{3}{2 \times 1.5} = \frac{3}{3} = 1 \, T$ Answer: $1 \, Tesla$ |