Magnetic Force on a Current-Carrying Conductor

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Represents that the magnetic field is coming out of the page

×

Represents that magnetic field is going inside the page.

magnetic force

When the wire is carrying a current, it experiences a ______________

circular loops

A current-carrying wire produces ______________ of magnetic field.

RHR-2

Determines the direction of the B. Thumb is the direction of the current and four-finger wrist is the magnetic field.

dl

The symbol that represents the length of the wire.

V = A.dl

Formula for the volume of the wire

n

The symbol that represents the number density of charge carriers

n = Number of free charges/volume

Formula to calculate the number density of charge carrier

ρq

Symbol that represents the charge density.

ρq = Total charge/Volume

Formula to calculate the charge density

ρq = n . q

Formula to calculate the charge density when we know the value of the number density of free charge carriers

nA.dl

Mathematical representation of the number of charge carriers in the wire section.

I = n*e*A*vd

Formula for the current inside the wire if the charge carriers inside the wire drift with the drift velocity.

evd × B

Formula for the magnetic force on any single charge carrier

dF

Symbol that represents the total magnetic force on the charge carriers in the section of the wire

dF = (nA.dl)evd × B

Formula to calculate the total magnetic force on the charge carriers in the section of the wire

dF = neAvddl× B

One way to rewrite the formula to calculate the total magnetic force on the charge carriers in the section of the wire

By defining dl to be a vector of length dl pointing along vd

dF = Idl× B

Another way to rewrite the formula to calculate the total magnetic force on the charge carriers in the section of the wire

By defining dl to be a vector of length dl pointing along vd

RHR-1

The rule to use to find the direction of the magnetic force on the section of the wire.

I

(1)

dl

(2)

vd

(3)

θ

(4)

B

(5)

F/l = I*B*sin(θ)

Formula for magnetic force per length if a constant magnetic field is being directed along the x-axis on the wire lying in the y-axis

Zero

What is the total force on any closed loop in a uniform magnetic field?