Individual tasks for PROBLEM 2.1

THE PRINCIPLE OF MAGNETIC FIELDS’ SUPERPOSITION

In accordance with your variant to solve one of the following problems listed below. The number of problem statement and all necessary input data are reduced in the table 2.1. Necessary drawing is allocated from Figures from problem 2.1.

1 Find magnetic induction, which is created with two infinitely long electric conductors. The picture number, in which the arrangements of conductors are shown, values of current І₁ and І₂, point, at which magnetic induction should be found, and necessary distances are given at the table. 2.1.

2 Find the magnetic field intensity, which is created with the infinitely long straight conductor and wire loop of radius R. The picture number, in which the situations of a conductor and loop are shown, the values of currents in the conductor І₁ and loop І₂, point, at which magnetic intensity should be found, and necessary distances are given at the table. 2.1.

3 A current І₁ flows along the infinitely long bent wire. The picture number, in which the wire's form is shown, the values of currents and necessary distances are given at the table 2.1. Find the magnetic induction at the point О.

4The infinitely long wire, bent at an angle a, and circular contour of radius of R lie in the same plane. The picture number, in which the situations of contour and wire are shown, values of currents in the wire І₁ and contour І₂, angle a and necessary distances are given at the table 2.1. Find the magnetic field intensity in the centre of the circular contour.

TABLE OF TASK VARIANTS

Table 2.1

Variant	Statement number	Picture number*	Point	І1 , А	І2, А	R , sm	а , sm	b , sm	с , sm
			А			–		–	–
			О		–		–	–	–
			А			–		–	–
			О		–		–	–	–
			О					–	–
			В			–			–
			О				–	–	–
			В			–
			В					–	–
			О		–		–	–	–
			А			–		–	–
			О				–	–	–
			А					–	–
			О		–		–	–	–
			О					–	–
			С			–			–
			О		–		–	–	–
			О					–	–
			О				–	–	–
			В			–
			О		–		–	–	–
			А					–	–
			О				–	–	–
			О		–		–	–	–
			О					–	–
			В			-			-
			О					-	-
			О		-		-	-	-
			В			-
			А					-	-

See Figures for problem 2.1.

FIGURES FOR PROBLEM 2.1 (beginning)

Figure 1	Figure 2
Figure 3	Figure 4
Figure 5	Figure 6

FIGURES FOR PROBLEM 2.1 (end)

Figure 7	Figure 8
Figure 9	Figure 10
Figure 11	Figure 12

Problem 2.4

THE LAW OF ELECTROMAGNETIC INDUCTION

MAIN CONCEPTS

Flux of the vector of magnetic induction through the plane contour in the homogeneous (uniform) magnetic field

,

where S – area of the contour; α – angel between vector and normal to the plane of the contour.

Full magnetic flux or magnetic flux interlinkage:

,

where N – the quantity of loops of windings, which are transpierced by the flux F.

EMF of induction in the coil

.

Charge, which flows over the closed contour by the changing of magnetic flux

,

where R – resistance of contour.

Magnetic field energy, stored by the coil with the inductance L, through which the current I flows

.