Magnetostatics

The magnetic field of a steady line current is given by __________.

the Biot-Savart law.

The constant __________ is called the permeability of free space.

μ0

1 Tesla (T) is equivalent to __________.

1 N/(A · m) or 10^4 gauss.

The field produced by a long straight wire carrying a steady current is __________ to the distance from the wire.

inversely proportional.

The divergence of a magnetic field is __________.

zero.

Ampere's Law can be applied to calculate the magnetic field produced by __________.

steady currents.

The formula for calculating the magnetic field due to one side of a current carrying loop is __________.

B1 = (μ0I/4πR)[Sin(θ2) - Sin(θ1)].

In Ampere’s Law, the field at a distance s from a long wire carrying a steady current B is expressed as __________.

B = μ0I/(2πs).

According to the Biot-Savart Law, the magnetic field B due to a current segment dl’ is given by __________.

B = (μ0/(4π)) (I dl' x r)/r^2.

The magnetic field inside a solenoid is __________.

uniform.

The total magnetic field B for all n sides of an n-sided polygon loop is given by __________.

B = (nμ0I/(2πR))Sin(π/n).

For an infinite wire, the angles O1 and O2 used to determine the magnetic field are __________.

-π/2 and π/2.

The contribution of the vertical component of the magnetic field can be found by using __________.

the cosine component.

The current density J that is proportional to the distance S from the axis can be expressed as __________.

J = ks, where k is the proportionality constant.

The force of attraction between two long, parallel wires can be calculated by __________.

considering the magnetic fields generated by each wire.

In the context of magnetic fields, the right-hand rule demonstrates that __________.

the direction of B is determined by the direction of current.

The magnetic field defined using Ampere's Law implies that __________ all currents are inside.

for large enough integration volume.