Manipal MET2018PhysicsMagnetic Effects of Current
A solenoid of length 50 cm and a radius of cross-section 1 cm has 1000 turns of wire wound over it. If the current carried is 5 A , the magnetic field on its axis, near the centre of the solenoid is approximately (permeability of free space . ₀=4 10⁻⁷ ~T - m / A )
Options
- A0.63 10⁻² ~T
- B1.26 10⁻² ~T
- C2.51 10⁻² ~T
- D6.3 T
Correct answer
B. 1.26 10⁻² ~T
Step-by-step solution
The magnetic field is given by (B= ₀ n i ) where ( ₀=4 10⁻⁷ T-m ~A ⁻¹ ) ( aligned & n= 1000 50 10⁻² i=5 A & B=4 10⁻⁷ 1000 10⁻² 50 10⁻² 5 & B=1.26 10⁻² T aligned )