ch4- Moving charges and magnetism

Lowrants force

F = qE + q(v x B)

force experienced by moving charge in a magnetic and electric field

v= velocity of charge

electric lowrants force- F = qE

magnetic lowrants force-F= q(v x B)

magnetic force on a current-carrying conductor

I(lxB)
IlBsin theta

A charged particle moving in the direction or opposite direction of magnetic field moves ………………….

undeflected.

A charged particle entering perpendicular to a magnetic field moves in a ………………. path.

Circular.

A charged particle moves at an arbitrary angle 𝛉 with the manetic field. What will be the shape of its path?

It move in a helical path.

Biot- Savart’s law

magnetic field experienced at a point due to a current element is

inversly proportional to the square of the distance between the line joining the current element to the point

directly proportional to sin theta of the angle between the line joining the current element and point
directly proportional to the strength of the current flowing through the current element

directly proportional to the length of the current element

μ₀

4π×10^-7 Tm/A OR TmA^-1

biot savart’s law in vector form

dB = μ₀ /4π * (d𝒍 ̅̅̅ x r̅)/ r³

ampere’s cirutal theorem

line integral of magnetic field around any closed path in free space is equal to

variation of magnetic field with distance from the axis

magnetic field due to long straight conductor

B= μ₀I/2π r

magnetic field due to solenoid

B= μ₀I n

principle of galvanometer

a rectangular current carrying coil placed in a magnetic field experiences torque and deflects. The deflection produced in the coil is directly proportional to the current passing through the coil.

current sensitivity

Φ/I=BAN/K

K= torrsional constant

deflection per unit current

voltage sensitivity

deflection per unit voltage

Φ/V=BAN/KR

galvanometer to ammeter

galvanometer to voltmeter

S=I_gG/(I-I_g)

R=V/I_g -G