Shoom said:
hi
7.3 x 10^19 electrons passed through a certain point in 4 mins. Calculate the charge.
If a positive coulomb of 1 charge (or something) was placed next to a positive coulomb of 2 charges (or something)
(it was +1 and +2 though)
Draw the electric field around them and the null point
1)
charge on 1 electron = -1.6 x 10^-19 C
charge = charge per electron x number of electrons
Q = (-1.6 x 10^-19) x (7.3 x 10^19)
Q = -11.68 C
the 4min is not needed for the calculation, but would be used if the question further asked for the current (I = Q/t)
2)
electric field diagram:
View attachment 17108
- although not drawn on the diagram, twice as many electric field lines should leave the 2C charge as the 1C charge.
- arrows indicate the direction that a positive charge would move if placed in that field. since like charges repel, they move outwards
- null point is where magnitude of E is 0 (i.e. a charge placed at the null point will experience a net force of 0 due to the charges).
to find the distance of the point from the charges recall that the magnitude of the electric field is given by the equation: E = kQ/r^2.
we want the magnitude of the electric field from the 1C charge E
1 = k1/r
12to be equal to the magnitude of the electric field from the 2C charge E
2 = k2/r
22
k1/r
12= k2/r
22
r
22 = 2r
12
r
2 = sqrt 2 r
1
i.e. r
2 is approximately 1.41 times the distance of r
1
not double:
VenomP said:
The null point will be in the middle of the two points, but since one is 2x as strong as the other, the null point will be twice as far from the stronger charge as the other charge. (i.e. the distances of the charges will be 1/3cm and 2/3cm from the null point)