List of formulas related to magnetism

Magnetic Flux Through The Open Surface S

B: magnitude of the magnetic field (T, tesla), α: angle between B and perpendicular line to surface S.

$$ \phi = BS cos \alpha (Wb, W eber) $$

v: velocity of the charge (m/s)

$$ \alpha = (\vec{B}, \vec{v}) $$ $$ f = |q|vB sin \alpha $$

I: current (A), l: length of the wire (m)

$$ F = BIl sin \alpha $$

r: distance between two wires (m)

$$ F = 2.10^{-7} \frac{I_1 I_2}{r} l $$

r: perpendicular distance from the center of the wire (m)

$$ B = 2.10^{-7} \frac{I}{r} $$

N: numbers of turns per unit length of solenoid (turns/m)

$$ B = 4 \pi 10^{-7} nI $$

N: numbers of turns per loop (turns/m)

$$ \xi _C = - N \frac{\Delta \phi}{\Delta t} $$

$$ L = \frac{\phi }{i} (H, H enry) $$ $$ \phi = Li (Wb) $$ $$ \xi _C = \frac{\Delta \phi}{\Delta t} = -L |\frac{\Delta i}{\Delta t}|$$

$$ W_c = \frac{1}{2}Cu^2 $$

$$ W_L = \frac{1}{2}Li^2 $$

$$ W = W_c + W_L = \frac{1}{2C}q_0 ^2 $$