Segulsvið í miðju straumboga – vandamál og lausnir

1. Ef radíus sveigju vírsins er 50 cm, byggt á myndinni hér að neðan, ákvarðaðu stærð segulsviði í miðju sveigjunnar (í punkti 0, sjá mynd hér að neðan). (µ_o = 4π.10^-7 Wb.A^-1 m^-1)

Þekkt:

Radíus (r) = 50 cm = 0.5 m

Rafstraumur (I) = 1.5 amper

Tómarúm gegndræpi (µ_o) = 4π.10^-7 Wb.A^-1 m^-1

Óskað: Tstærð segulsviðsins

Lausn:

360^o = 1 ummál of a circle. . 120 XNUMX^o / 360^o = 1/3 then 120^o = 1/3 x ummál 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.

Þekkt:

Radius of curvature (r) = 3π cm = (3π/100) m

= 3π/10² m = 3π.10^-2 m

Rafstraumur (I) = 6 A

Tómarúm gegndræpi (µ_o) = 4π.10^-7 Wb.A^-1 m^-1

Óskað eftir: The magnitude of the magnetic field

Lausn:

360^o = 1 ummál of a circle. 45^o / 360^o = 1/8 then 45^o = 1 / 8 x ummál 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 µ_o = 4π.10^-7 Wb.A^-1.m^-1, determine the magnitude of the magnetic field at point P.

Þekkt:

Radius of curvature (r) = 2π cm = (2π/100) m

= 2π/10² m = 2π.10^-2 m

Rafstraumur (I) = 9 A

Tómarúm gegndræpi (µ_o) = 4π.10^-7 Wb.A^-1 m^-1

Óskað eftir: The magnitude of the magnetic field at point P

Lausn:

360^o - 120^o = 240^o. . 240 XNUMX^o / 360^o = 2/3 then 240^o = 2/3 x ummál of a circle.

The magnitude of the magnetic field at the center of curvature :