Concepts Of Physics MCQ Edition [Volume 2]PhysicsPermanent Magnets
A uniform magnetic field of 0.20 10⁻³ T is present in space. Determine the change in the magnetic scalar potential as one travels through 50 cm along the field.
Options
- ADecreases by 10 10⁻³ T m
- BIncreases by 0.10 10⁻³ T m
- CIncreases by 10 10⁻³ T m
- DDecreases by 0.10 10⁻³ T m
Correct answer
D. Decreases by 0.10 10⁻³ T m
Step-by-step solution
The magnetic scalar potential V_m is related to the magnetic field B by the relation B = - V_m . The change in magnetic scalar potential dV_m over a small displacement d l is given by dV_m = - B d l . When moving along the direction of the magnetic field, the angle between B and d l is 0^ , so B d l = B dl . For a uniform magnetic field, the change in magnetic scalar potential over a distance l is: V_m = -B l Given B = 0.20 10⁻³ T and l = 50 cm = 0.50 m , we get: V_m = -(0.20 10⁻³ T ) (0.50 m ) = -0.10 10⁻³ T m The