Physics, 08.12.2020 16:40, barclaybarnes07

Suppose a 6.00 nC electric charge is in the beam. What is the maximum electric force (in N) it experiences? If the static charge moves at 300 m/s, what maximum magnetic force (in N) can it feel?

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answered: kah36

Complete Question

Electromagnetic radiation from a 3.00 mW laser is concentrated on a 2.00 mm2 area. Suppose a 6.00 nC electric charge is in the beam. What is the maximum electric force (in N) it experiences? If the static charge moves at 300 m/s, what maximum magnetic force (in N) can it feel?

The value are

$F = 6.378 *10^{-6} \ N$

and

$F_k = 6.381 *10^{-12} \ N$

Explanation:

From the question we are told that

The power of the laser is $P = 3.00 mW = 3.00*10^{-3} \ W$

The area is $A = 2.00 \ mm^2 = 2.0 *10^{-6} \ m^2$ ]

The speed is $v = 300 \ m/s$

The magnitude of the electric charge is $Q = 6.00 nC = 6.00 *10^{-9} \ C$

Generally the intensity of the beam is mathematically represented as

$I = \frac{P}{A}$

=> $I = \frac{3.00 *10^{-3}}{ 2.0 *10^{-6}}$

=> $I = 1500 \ W/m^2$

Generally the magnitude of the electric field is mathematically represented as

$E_m = \sqrt{\frac{2I}{c \epsilon_o} }$

Here c is the speed of light with value $c = 3.0*10^{8} \ m/s$

$\epsilon_o$ is the permittivity of free space with value $\epsilon_o = 8.85*10^{-12} C/(V \cdot m)$

$E_m = \sqrt{\frac{2 * 1500 }{3.0*10^{8} *8.85*10^{-12} } }$

=> $E_m = 1063 \ V/m$

Generally the maximum electric force is mathematically represented as

F = Q * E_m

=> $F = 6*10^{-9 } * 1063$

=> $F = 6.378 *10^{-6} \ N$

Generally the intensity of the beam can also be mathematically represented as

$I = \frac{ c * B^2 }{ 2 * \mu_o}$

Here B is the magnetic field

$\mu_o$ is the permeability of free space with value $\mu_o = 4\pi * 10^{-7} N/A^2$

$B = \sqrt{\frac{2 * \mu_o * I }{c} }$

=> $B = \sqrt{\frac{2 * 4 \pi *10^{-7} * 1500 }{3.0*10^{8}} }$

=> $B = 3.545*10^{-6} \ T$

Generally the maximum magnetic force is mathematically represented as

F_k = Q * v * B

=> $F_k = 6.00 *10^{-9} * 300 * 3.545*10^{-6}$

=> $F_k = 6.381 *10^{-12} \ N$

answered: Guest

answer would be letter choice (a), a ball resting on a shelf. would be another example of potential energy > stored energy > not moving.

a ball spinning on a finger > kinetic energy > moving energy

a ball rolling on the ground > kinetic energy > moving energy

a ball flying through the air > kinetic energy > moving energy

hope that : )

answered: Guest

The purpose of a lab is to do your "expirements" the importance of the topic is so you can now what the story is about and the last one is because no one is me with my question ( what is 3 over 4 x - 9 = 27 maybe you can )

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Suppose a 6.00 nC electric charge is in the beam. What is the maximum electric force (in N) it exper...