1. Based on the figure below, if the radius of the curvature of the wire is 50 cm, determine the magnitude of the magnetic field at the center of curvature (at point 0, see figure below). (µo = 4π.10-7 Wb.A-1 m-1)
Zvinozivikanwa:
Nharaunda (r) = 50 cm = 0.5 m
Magetsi emagetsi (I) = 1.5 Ampere
The vacuum permeability (µo) = 4π.10-7 Wb.A-1 m-1
Kuda: The magnitude of the magnetic field
Solution:
360o = 1 circumference of a circle. 120o / 360o = 1/3 zvino 120o = 1/3 x circumference of a circle.
The equation of the magnetic field at the center of the coil with several loops :
B = the magnitude of the magnetic field, N = number of loops, I = electric current, r = radius of curvature
In the above problem, there is only one loop so that N is eliminated from the equation. The wire coil on the above problem is not 1 circle but 1/3 circle :
The magnitude of the magnetic field at the center of curvature :
2. Based on the figure below, the electric current flows in the wire is 6-A and radius of curvature is R = 3π cm, to determine the magnitude of the magnetic field at point P.
Zvinozivikanwa:
Radius of curvature (r) = 3π cm = (3π/100) m
= 3π/102 m = 3π.10-2 m
Mwenje wemagetsi (I) = 6 A
The vacuum permeability (µo) = 4π.10-7 Wb.A-1 m-1
Zvaidiwa: The magnitude of the magnetic field
Solution:
360o = 1 circumference of a circle. 45o / 360o = 1/8 zvino 45o = 1 / 8 x circumference of a circle.
The magnitude of the magnetic field at the center of curvature :
3. Electric current flows in wire = 9-A, the radius of curvature (R) = 2π cm and µo = 4π.10-7 Wb.A-1.m-1, determine the magnitude of the magnetic field at point P.
Zvinozivikanwa:
Radius of curvature (r) = 2π cm = (2π/100) m
= 2π/102 m = 2π.10-2 m
Mwenje wemagetsi (I) = 9 A
The vacuum permeability (µo) = 4π.10-7 Wb.A-1 m-1
Zvaidiwa: The magnitude of the magnetic field at point P
Solution:
360o - 120o = 240o. 240o / 360o = 2/3 zvino 240o = 2/3 x circumference of a circle.
The magnitude of the magnetic field at the center of curvature :
