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Tanzania [10]
3 years ago
6

An electron initially 3.00 m from a nonconducting infinite sheet of uniformly distributed charge is fired toward the sheet. The

electron has an initial speed of 420 m/s and travels along a line perpendicular to the sheet. When the electron has traveled 2.00 m, its velocity is instantaneously zero, and it then reverses its direction. What is the surface charge density on the sheet?
Physics
1 answer:
Cloud [144]3 years ago
5 0

Answer:

4.4443704375\times 10^{-18}\ C/m^2

Explanation:

\epsilon_0 = Permittivity of free space = 8.85\times 10^{-12}\ F/m

\Delta l = Distance charge traveled = 2 m

v = Velocity of electron = 420 m/s

E = Electric field

m_e = Mass of electron = 9.11\times 10^{-31}\ kg

q_e = Charge of electron = 1.6\times 10^{-19}\ C

As the energy of the system is conserved we have

q_eE\Delta l=\dfrac{1}{2}m_ev^2\\\Rightarrow E=\dfrac{1}{2}\dfrac{m_e}{q_e}\times \dfrac{v^2}{\Delta l}\\\Rightarrow E=\dfrac{1}{2}\dfrac{9.11\times 10^{-31}}{1.6\times 10^{-19}}\times \dfrac{420^2}{2}\\\Rightarrow E=2.51094375\times 10^{-7}\ N/C

For an infinite non conducting sheet electric field is given by

E=\dfrac{\sigma}{2\epsilon}\\\Rightarrow \sigma=2E\epsilon\\\Rightarrow \sigma=2\times 2.51094375\times 10^{-7}\times 8.85\times 10^{-12}\\\Rightarrow \sigma=4.4443704375\times 10^{-18}\ C/m^2

The surface charge density is 4.4443704375\times 10^{-18}\ C/m^2

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Explanation:

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7) A long straight wire of radius 1.00x10-3 m (1 mm) carries uniform current density J such that the magnetic field at the edge
Vedmedyk [2.9K]

Answer:A)0.5 and 2 mm

Explanation:

Given

radius R of wire is 1 mm

magnetic Field at edge(surface) =10^{-5} T

Magnetic Field at a distance r' from Center is B'=5\times 10^{-6} T

and we know

B=\frac{\mu _0I}{2\pi r}

where I= current

\mu _o=Permeability of free space

r=distance from center

For r=R

10^{-5}=\frac{\mu _0I}{2\pi R}---1

For r=r'

5\times 10^{-6}=\frac{\mu _0I}{2\pi r'}---2

Divide 1 and 2

\frac{10^{-5}}{0.5\times 10^{-5}}=\frac{r'}{R}

r'=2 R=2 mm

If r is inside the wire then

B=\frac{\mu _0rI}{2\pi R^2}

for r=R

10^{-5}=\frac{\mu _0R\cdot I}{2\pi R^2}---3

for r=r"

5\times 10^{-6}=\frac{\mu _0r"I}{2\pi R^2}----4

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An electrical motor does the opposite, but uses the same principles, converting electrical energy to produce mechanical energy. The motor will have an alternating current (AC) moving through pairs of magnets, producing a rotating magnetic field. This causes the motor's central rotor to spin, powering whatever machinery it is hooked up to.

7 0
3 years ago
Read 2 more answers
Please need some help on this thank you so much
fomenos
Weight is based on density mass is not.
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