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$\bullet$ A beam of protons traveling at 1.20 $\m…

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Problem 15 Easy Difficulty

A deuteron particle (the nucleus of an isotope of hydrogen consisting of one proton and one neutron and having a mass of $3.34 \times 10^{-27} \mathrm{kg}$ ) moving horizontally enters a uniform, vertical, 0.500 T magnetic field and follows a circular arc of radius 55.6 $\mathrm{cm} .$ (a) How fast was this deuteron moving just before it entered the magnetic field and just after it came out of the field? (b) What would be the radius of the arc followed by a proton that entered the field with the same velocity as the deuteron?


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Electric Flux

In physics, electric flux is a measure of the quantity of electric charge passing through a surface. It is used in the study of electromagnetic radiation. The SI unit of electric flux is the weber (symbol: Wb). The electric flux through a surface is calculated by dividing the electric charge passing through the surface by the area of the surface, and multiplying by the permittivity of free space (the permittivity of vacuum is used in the case of a vacuum). The electric flux through a closed surface is zero, by Gauss's law.

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A magnetic field is a mathematical description of the magnetic influence of electric currents and magnetic materials. The magnetic field at any given point is specified by both a direction and a magnitude (or strength); as such it is a vector field. The term is used for two distinct but closely related fields denoted by the symbols B and H. The term "magnetic field" is often used to refer to the B field. In a vacuum, B and H are the same, whereas in a material medium, B is a component of H. In the latter case, H is the "magnetic field strength", and B is the "magnetic flux".

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Video Transcript

for part a off the given problem, we are asked to find the speed of the do trim just before it inter semantic for you. And after it left the field, we can find it by using any question that is it force on the charge Particle is Kyul recross be his equalities And if it'll force that is ending the square demand they are are is the radius off the ark From here we can solve for a review so we will be charged times be oh times are divided by moss That way even become since we have ah do trim will only consider the charge on the ah problem since the neutron is a neutral therefore 1.6 times 10 to the power minus 19 Cool long times given maybe Creole 0.500 test la times radius little 0.556 meters divided by mass off the do trim given is 3.34 times 10 to the power minus 27 Simplifying This gives us their V to be 1.33 times tending power seven meter per second. This will be the speed off a do trim before and after it interesting air field fall apart. Be off the problem. We are asked to find the radius for the given speed. We can find it by lighting Congressional musical theory times M divided by killed times be will substitute divvy that we just found That is 1.33 times 10 to the power seven times Ah Massif the problem duties 1.6 times 10 to the minus 27 divided by charge 1.6 times 10 to the minus 19 times they feel which is 7.5 testicle Excuse us are off 0.266 meters.

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04:28

Sources of Magnetic Field - Intro

A magnetic field is a mathematical description of the magnetic influence of electric currents and magnetic materials. The magnetic field at any given point is specified by both a direction and a magnitude (or strength); as such it is a vector field. The term is used for two distinct but closely related fields denoted by the symbols B and H. The term "magnetic field" is often used to refer to the B field. In a vacuum, B and H are the same, whereas in a material medium, B is a component of H. In the latter case, H is the "magnetic field strength", and B is the "magnetic flux".

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