electric charge and fields
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1
equation of quantization of charge
q=+or- ne
2
the value of e and value of 1C charge
1.6*10^-19C, 6.25*10^18
3
equation of additivity of charge
Q=Q1+Q2+....Qn
4
redistribution of charges (identical spheres) the final charge formula
Qfinal= (Q1+Q2+....+Qn)/n
5
induced charge,induced formula
Q'=-Q[1-1/k] k is dielectric constant k is infinite for metal and 1 for air
6
coulomb force equation
F=1/4πe° (q1q2^2) e is epsilon e° value is 8.854*10^-12 1/4πe° value is 9*10^9
7
dielectric slab between the charges reff formula
reff=(t1√K1+t2√K2...)
8
coulomb formula vector formula
F=1/4πe° (q1q2^2) *(unit vector (r)/magnitude of r)
9
the charge splits into two which fraction is it to split for maximum force b/w them
Q/2
10
what is Fnet and what is is Fnet if F1=F2
Fnet=√(F1^2+F2^2+2F1F2cos(theta)), Fnet=2Fcos(theta/2)
11
point of equilibrium (like charges (inside point))
kQ1q/x1^2 = kQ2q/x2^2 x1=√Q1 r/(√Q1+√Q2) x2=√Q2 r/(√Q1+√Q2)
12
point of equilibrium for unlike charges (outside point nearer to small charge ) |Q1|>|Q2|
K|Q2|q/x1^2 =K|Q1|q/(r+x)^2 x=|√Q2 r|/(|√Q1|-|√Q2|)
13
calculation of unknown charge
(KqQ2/x^2)+KQ1Q2/(x1+x2)^2=0 q=-(x2/(x1+x2))^2*Q1. q=-(x1/(x1+x2))^2 * Q2
14
charged pendulum (equilibrium seperation) r l is the length of rope
(sintheta=tanTheta). tan =F/mg sin= r/2l r = (q^2l)/2πepsilon°mg)^1/3
15
leakage of charge
r^3 proportional to q^2 v proportional to r^-1/2
16
shm of charge (for axial and equitorial line) what is time period (r here is half the distance between large charges)
axial T=2π√(mr^3/4kQq). Equitorial T= 2π√(2πepsilon°mr^3/Qq)
17
electric field intensity
1/4πe°(Q^2)
18
acceleration of charge
a=QE/m
19
velocity of particle( horizontal projection) with time and with x
v=QEt/m,v=√(2QEx/m)
20
kinetice energy of charge
ke=Q^2E^2t^2/2m
21
stopping distance of charge
x=u^2 m/2eE
22
perpendicular projection time
t=x
23
y in perpendicular projection
y=1/2(QEt^2/M)
24
velocity at an instant
v=√(u^2+Q^2E^2t^2/m^2)
25
mp/me=?
1836
26
e/me=? only value
1.76*10^11
27
time taken to cover same height ratio
t1/t2=√(m1/m2)
28
charged pendulum geff if electric field along horizontal
geff=√(g^2+(QE/m)^2)
29
charged pendulum geff if electric field along vertical downward
geff =g+QE/m
30
charged pendulum geff if electric field along vertical upward
geff =g-QE/m
31
induced E formula (for dielectric in an external electric field)
E(1-1/k)
32
what is Enet for dielectric in an external electric field
E/K
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