ElectroStatics

In [2]:
qe = -1.6E-19
qp =  1.6E-19
k  =  9.0E9

def force(charge1, charge2, distance):
    return k * ((charge1 * charge2) / (distance ** 2))

def force_from_field(field, charge):
    return field * charge

def field(charge, distance):
    return k * (charge / (distance**2))

def potential(charge, distance):
    return k * (charge / distance)

def work(deltav, charge):
    return deltav * charge

Charge of an electron

$q_e = -1.6 * 10^{-19}C$

qe

Charge of a proton

$q_p = 1.6 * 10^{-19}C$

qp

Coulomb's Constant

$k = 9 * 10^9$

k

Force $(F)$

Unit : Newtons $(N)$

$F = k \frac{q_1 q_2}{r^2}$

$F(q_1, q_2, r)$

force(charge1, charge2, distance)

$F = E q_2$

$F(E, q_2)$

force_from_field(field, charge)

Field $(E)$

Unit : Newtons/Coulombs $(N/C)$

$E = \frac{q_1}{r^2}$

$E(q_1, r)$

field(charge, distance)

Potential $(V)$

Unit : Volts $(V)$

$V = k\frac{q}{r}$

$V(q,r)$

potential(charge, distance)
In [11]:
print(field(qp, .00125))
print(field(qe, .00275))
0.0009215999999999998 + 0.0001904132231404959

0.0009215999999999998
-0.0001904132231404959
Out[11]:
0.0011120132231404957
In [12]:
force_from_field(0.0011120132231404957, qp)
Out[12]:
1.779221157024793e-22
In [4]:
potential(qp, .00125) + potential(qe, .00275)
Out[4]:
6.283636363636363e-07
In [15]:
work(6.283636363636363e-07, qe)
Out[15]:
-1.0053818181818181e-25
In [19]:
potential(qp, 2.5E-12)
Out[19]:
576.0
In [20]:
potential(qp, 2.5E-12 + 3.75E-12)
Out[20]:
230.4
In [21]:
work(-345.6, qe)
Out[21]:
5.5296e-17
In [22]:
potential(-2.4E-12, .00540) + potential(5.1E-12, .012 + .00615)
Out[22]:
-1.4710743801652888
In [23]:
potential(-2.4E-12, .00540 + .012) + potential(5.1E-12, .00615)
Out[23]:
6.222035323801513
In [24]:
work(6.22+1.47, qe)
Out[24]:
-1.2303999999999998e-18
In [ ]: