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the physical law that states that the magnetic field around an electric current is

**proportional**to the**current**; each segment of current produces a magnetic field like that of a long straight wire, and the total field of any shape current is the vector sum of the fields due to each segment- Torque on
**a Current**LoopMotors are

**the**most common application**of magnetic**force on...

- Torque on
Ampere’s

**Law**is similar to Gauss’**Law**, as it allows us to (analytically) determine the**magnetic****field**that is produced by an electric**current**in configurations that have a high degree of symmetry. Ampere’s**Law**states: ∮→B ⋅ d→l = μ0Ienc.This results in a more complete law, called

**Ampere**’s law, which relates magnetic field and current in a general way.**Ampere**’s law in turn is a part of**Maxwell**’s**equations**, which give a complete theory of all electromagnetic phenomena.As you know from a previous section,

**magnetic****field**of a long straight wire circulates**around**the wire in circles with the same magnitude B= μ0I /2πr B = μ 0 I / 2 π r at all points of one circle of radius r. r. Let us denote this**magnetic****field**by B(r). B ( r). The**circulation**of this**magnetic****field****around**a circle is easy to work out.So, another way of stating the integral form of Ampere’s

**Law**is to say that the**circulation****of**the**magnetic****field**on any closed path is directly proportional to the**current**through the region enclosed by the path. Here’s the picture: In the picture, I show everything except for the**magnetic****field**.**Magnetic**Fields Produced by Currents: Ampere’s Law. Learning Objectives. By the end of this section, you will be able to: Calculate current that produces a magnetic**field**. Use the right hand rule 2 to determine the direction of current or the direction of magnetic field loops.In words, Ampère's integral law as given by (1) requires that the

**line****integral**(**circulation**) of the magnetic field intensity H around a closed contour is equal to the net current passing through the surface spanning the contour plus the time rate of change of the**net****displacement**flux**density**o E through the surface (the displacement current ).