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Compute the size of the charge necessary for two spheres separated by 1m to be attached with the force of 1N. How many electrons

yarga [219]

Answer:

$q\approx 6.6\cdot 10^{13}~electrons$

Explanation:

Coulomb's Law

The force between two charged particles of charges q1 and q2 separated by a distance d is given by the Coulomb's Law formula:

$\displaystyle F=k\frac{q_1q_2}{d^2}$

Where:

$k=9\cdot 10^9\ N.m^2/c^2$

q1, q2 = the objects' charge

d= The distance between the objects

We know both charges are identical, i.e. q1=q2=q. This reduces the formula to:

$\displaystyle F=k\frac{q^2}{d^2}$

Since we know the force F=1 N and the distance d=1 m, let's find the common charge of the spheres solving for q:

$\displaystyle q=\sqrt{\frac{F}{k}}\cdot d$

Substituting values:

$\displaystyle q=\sqrt{\frac{1}{9\cdot 10^9}}\cdot 1$

$q = 1.05\cdot 10^{-5}~c$

This charge corresponds to a number of electrons given by the elementary charge of the electron:

$q_e=1.6 \cdot 10^{-19}~c$

Thus, the charge of any of the spheres is:

$\displaystyle q = \frac{1.05\cdot 10^{-5}~c}{1.6 \cdot 10^{-19}~c}$

$\mathbf{q\approx 6.6\cdot 10^{13}~electrons}$

5 0

3 years ago

An electromagnetic wave is traveling the +y direction. The maximum magnitude of the electric field associated with the wave is E

cluponka [151]

Answer:

0.83x10^-9 T

Direction is towards +z axis.

Explanation:

E = cB

E = magnitude of electrical 0.25 Em

c = speed of light in a vacuum 3x10^8 m/s

Therefore,

B = E/c = 0.25 ÷ 3x10^8

B = 0.83x10^-9 T

Magnetic fueld of a EM wave acts perpendicularly to its electric field, therefore it's direction is towards the +Z axis

3 0

3 years ago

Gravity is greater when there is

liberstina [14]

Gravity is greater when there is more mass and less distance between two given objects.

7 0

3 years ago

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Resistance of a wire depend on Fuse is Water can conduct electricity

Kamila [148]

Answer:

resistance depends on length , cross sectional area , type of material and temperature

fuse is a safety device

Explanation:

The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area. Resistance also depends on the material of the conductor. ... The resistance of a conductor, or circuit element, generally increases with increasing temperature.

fuse is a safety device which is damaged when large amount of electricity pass through it and it does not damage any other component when electricity reach the fuse wire the fuse wire is very thin so if amount of electricity reach it burnt and and save the other component of house

yes water can conduct electricity

4 0

3 years ago

What gases are exchanged in the respiratory system

Makovka662 [10]

Oxygon and Carbon are exchanged in the respiratory system hope this helps! :D

3 0

3 years ago

Read 2 more answers