Medical cyclotrons need efficient sources of protons to inject into their center. In one kind of ion source, hydrogen atoms (i.e., protons with one orbiting electron) are fed into a chamber where there is a strong magnetic field. Electrons in this chamber are trapped in tight orbits, which greatly increases the chance that they will collide with a hydrogen atom and ionize it. One such source uses a magnetic field of 50 mT, and the electrons’ kinetic energy is 2.0 eV. If the electrons travel in a plane perpendicular to the field, what is the radius of their orbits?

Q: A nucleus with 19 protons travels at a velocity of 9.82 x 10^6 m/s through a region of uniform…

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Q: Protons having a kinetic energy of 4.70 MeV are moving in the positive x-direction and enter a…

A: When a charged particle is moving in a magnetic field it experiences a force this causes the path of…

Q: Beams of electrons can be steered using magnets. It is desired to change the trajectory of a beam of…

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Q: A carbon-14 ion with a charge of +6.408x10^-19 C and a mass of 2.34x10^-26 kg is sent through a mass…

A: Charge of the particle (q)=6.408×10-19 C Mass of the particle (m)=2.34×10-26 kg Distance of particle…

Q: In the figure, an electron accelerated from rest through potential difference V₁-1.04 kV enters the…

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Q: ic field from the external Helmholtz coils was 9.3x 10^-4T, which produces an electron orbit of…

A: For a particle undergoing circular motion experience a centripetal acceleration is given as…

Q: A nucleus with 44 protons travels at a velocity of 2.05 x 10^6 m/s through a region of uniform…

A: Given,charge on nucleus having 44 protons,q = 44 x 1.6x10-19 C = 7.04 × 10-18 C…

Q: A particle has been ionized so that it has a charge +6.4 C, but it has an unknown mass.  The…

A: Cyclotron Motion When a charged particle of charge q enters a region of a magnetic field B→ with…

Q: A nucleus with 8 protons travels at a velocity of 9.29 x 10^6 m/s through a region of uniform…

A: Given: The number of protons in the nucleus is 8. The speed of the nucleus is 9.29x106 m/s. The…

Q: An alpha-particle (m = 6.64 × 10−27 kg, q = 3.2 × 10−19 C) travels in a circular path of radius 25…

A: Consider B denotes the magnetic field strength which is given as 1.5 T. Let r denote the radius of…

Q: A PET cyclotron has a magnetic field of 2 T. The proton radius before exiting the cyclotron is 40…

A: Magnetic field, B=2T Radius=40 cm Mass of proton,m=1.67×10^(-27) kg Charge of proton, q=1.6×10^(-19)…

Q: (Figure 1) shows a mass spectrometer, an analytical instrument used to identify the various…

A: All charged particles, upon entering the magnetic fields, trace curved trajectories when they're…

Q: In the figure, an electron accelerated from rest through potential difference V1=1.49 kV enters the…

A: Given that:V1=1.49 kVV2=164 Vd=17.6 mm=17.6×10-3 mq=-1.6×10-19C

Q: Auroras e are produced when charged particles from the sun (a.k.a. solar wind e) directed toward the…

A: A charged particle moving in a magnetic field, experiences a magnetic force due to this magnetic…

Q: A particle passes through a mass spectrometer as illustrated in the figure below. The electric field…

A: Given:Electric field, E = 8060 V/mMagnetic field, B = 0.0920 Td = 2r = 39.6 cm r = 19.8 cm

Q: Kieran measures the magnetic field of an electron beam. The beam strength is such that 2.20 × 1011…

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Q: A nucleus with 35 protons travels at a velocity of 8.61 x 10^6 m/s through a region of uniform…

A: Given -Charge on nucleus having 18 protons, q = 35 x 1.6 x 10-19 C                (since charge on 1…

Q: ace the trajectory of the electron in the magnetic field. Show the direction of the electron in the…

A: Given:- v = 3 x 104 m/s B = 4.0 x 10-2 T Find:- Determine the diameter of the circle that the…

Q: A charged particle is accelerated through a potential of 200.0 volts from rest and achieves a speed…

A: Using Work energy theorem The change in the kinetic energy of the particle is equal to net work done…

Q: Alpha particles, each having a charge of +4qe and a mass of 6.64 × 10-27 kg, are accelerated in a…

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Q: Atom 1 of mass 30.3 u and atom 2 of mass 32.7 u are both singly ionized with a charge of +e. After…

A: Atom 1 of mass m and atom 2 of mass m, are both singly ionized with a charge of +q. After being…

Q: A nucleus with 18 protons travels at a velocity of 6.37 x 10^6 m/s through a region of uniform…

A: Given - Charge on nucleus having 18 protons, q = 18 x 1.6 x 10-19 C                (since charge on…

Q: An oxygen nucleus (8 protons, 8 neutrons) moves at a velocity of 3.56 x 10^6 m/s in a direction…

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Q: A Hydrogen atom can be thought of as a positive nucleus with a negatively charged electron, orbiting…

A: Recall B=μ0i/2R

Q: A carbon-14 ion with a charge of +6.408x10^-19 C and a mass of 2.34x10^-26 kg is sent through a mass…

A: Given that: For carbon C-14: q1=+6.408x10-19 Cm1=2.34x10-26 kgB=0.5 TDiameter of the path of C-14,…

Q: What is the strength of the magnetic field in T needed to hold antiprotons, moving at 1.8 × 107 m/s,…

A: Given:-  The antiprotons moving in a circular path with the velocity v = 1.8 x 107 m/s  The radius…

Q: In the figure, an electron accelerated from rest through potential difference V₁-1.33 kV enters the…

A: Given data: The accelerated potential, V1=1.33 KV=1.33×103 V The potential difference, V2=175 V The…

Q: B a) Write down an algebraic equation for the diameter D of the charged particle's circular path in…

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Q: A nucleus with 40 protons travels at a velocity of 2.74 x 10^6 m/s through a region of uniform…

A: Given data:  Number of protons (n) = 40 Velocity (v) = 2.74×106 m/s Magnetic field (B) = 2.93 T…

Q: Medical cyclotrons need efficient sources of protons to inject into their center. In one kind of ion…

A: Given Data:Magnetic field is Kinetic energy of electron is expression for kinetic energy isWhere, is…

Q: In hydrogen atom, an electron is revolving in the orbit of radius 0.53 Å with 6.6 x 1015…

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Q: To see why an MRI utilizes iron to increase the magnetic field created by a coil, calculate the…

A: Given: The number of turns per meter is 300. The radius is 0.660 m. The magnetic field is 1.20 T.

Q: In a nuclear experiment a proton with kinetic energy 8.5 MeV moves in a circular path in a uniform…

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Q: To better understand the Earth's climate history, you are using a mass spectrometer to distinguish…

A: The equation for the diameter D of a charged particle's circular path in a magnetic field can be…

Q: Magnetic resonance imaging (MRI) is one of the most useful and rapidly growing medical imaging…

A: Number of loops per meter, n=420Radius of circular loop, r=0.66mMagnetic field at center, B=1.3T

Q: A carbon-14 ion with a charge of +6.408x10^-19 C and a mass of 2.34x10^-26 kg is sent through a mass…

A: For circular motion the velocity is v=qBrm Here q is charge, B is magnetic field, r is the radius of…

Q: A proton, a deuteron (q = +e, m = 2.0 u), and an alpha particle (q = 2e, m = 4.0 u) are accelerated…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: A 180 V battery is connected across two parallel metal plates of area 28.5 cm2cm2 and separation…

A: Given that,Battery = 180 VArea : A = 28.5 (cm2)Separation : d = 7.20 (mm)Potential difference : V =…

Q: Atom 1 of mass 35 u and atom 2 of mass 37 u are both singly ionized with a charge of +e. After being…

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Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.