Equations a la Mode



 
 
 
EQUATION VARIABLES WHEN TO USE
F=Kqq/d2 F is the force acting between charges
K = 9x109
q is the charge of each
d is the distance between the charges
When dealing with point charges
F=qE E is the magnitude of the electric field With a point charge in a uniform E-field
E=Kq/d2   To find the E-field caused by a point charge
DW=qDV W= work done to move a point charge
V= voltage(potential difference)
When moving a point charge to a different potential
V=Ed V= potential difference between two points In a uniform E-field
V=Kq/d V= potential difference between a point charge and a point In an E-field caused by a point charge
q=CV C= capacitance  
C=KeoA/d K= Dialectric constant (depends on medium), ratio to permittivity of a vacuum
eo=permittivity of a vacuum= 8.85x10-12 C2/Nm2
A= the area of the parallel plates
d= distance between the parallel plates
With a parallel plate capacitor
W=E=qV/2=CV2/2 E= energy stored in a capacitor
W= work done by a capacitor when its energy is released
With a parallel plate capacitor in a circuit
q=It I= current
t= time
With charge moved through a wire over time
V=IR R= resistance A current moving through a wire
R=rL/A r= resistivity of a certain metal
L= the length of the wire
A= the cross-sectional area of the wire
To find the resistance of a wire
P=IV=I2R=V2/R P= power To find the  power supplied by a resistor
Rts=R1+R2+...+Rn Rts= total resistance in a series circuit
n=number of resistors
series circuit
1/Rtp=1/R1+1/R2+...+1/Rn Rtp= total resistance in a parallel circuit parallel circuit

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