A quantity \( X \) is given by: \[ X = \frac{\epsilon_0 L \Delta V}{\Delta t} \] where:- \( \epsilon_0 \) is the permittivity of free space,- \( L \) is the length,- \( \Delta V \) is the potential difference,- \( \Delta t \) is the time interval.The dimension of \( X \) is the same as that of:
A coil of 60 turns and area \( 1.5 \times 10^{-3} \, \text{m}^2 \) carrying a current of 2 A lies in a vertical plane. It experiences a torque of 0.12 Nm when placed in a uniform horizontal magnetic field. The torque acting on the coil changes to 0.05 Nm after the coil is rotated about its diameter by 90°. Find the magnitude of the magnetic field.