lon as having charge +Q and mass M are accelerated from rest through a potential difference V. They then move into a region of space where there is a uniform magnetic field of flux density B, acting at right angles to the direction of travel of the ions, as shown below. (i.) Show that v, the speed with which the ions enter the magnetic field is given by v = sqrt(2QV/M) (ii.) Hence derive an expression, in terms of M,Q,B and V, for the radius of the path of the ion in the magnetic field. (iii.) Briefly describe and explain any change in the path in the magnetic field of an ion of twice the specific charge.

Q: Consider a uniform magnetic field B = Bx and a uniform electric field E = Eî . A positron with mass…

A:

Q: The cyclotron has a resonance chamber in the form of a D-shape with a radius of 62 cm, and it…

A: Resonance Chamber Radius (r) = 62 cm = 0.62 mMagnetic Flux Density (B) = 1.3 TeslaCharge of an…

Q: (a) Van Allen belts ( capture cosmic rays / are due to Earth’s magnetic field / are colorful ). (b)…

A: . Van Allen belts is a zone of energetic charged particle which are held by Earth and these…

Q: The Tethered Satellite discussed in this module is producing 5.00kV and a current of 10.0A flows.…

A:

Q: Formulate a hypothesis to describe what this constant of proportionality, call it C, must depend on.

A:

Q: A particle whose mass is 8.0(10)-26 kg, with a charge of 1.6(10)-19C moves at 4.0(10)5 m/s is…

A: The force due to centripetal acceleration of the particle is, F=mv2r The force due to magnetic field…

Q: Why the range of the electromagnetic force is infinite?

A: Solution: The electromagnetic force for a single particle can be expressed as Since both the…

Q: Electron, accelerated from rest through a PD of 3kV; enter a region of uniform magnetic field, the…

A: Concept used: Electric field provides kinetic energy to the electron. Magnetic field provides…

Q: (a) What is the velocity of a beam of electrons that goundeflected when passing through crossed…

A: Electric field, E = 1.88 x 104 V/m magnetic field, B = 2.60 x10-3 T

Q: It is shown in more advanced courses that the charged particles in circular orbits radiate…

A:

Q: Consider a region where a 1.85-volt-per-meter electric field and a 2.49-tesla magnetic field exist…

A: Given: the electric field is E=1.85 N/m The magnetic field is B=2.49 T. The charge is q=4.72 C. The…

Q: (known values: e = 1.602 E-19 C,  m= 9.11E-31 kg) e/m(theoretical)= 1.759*1011 Use the data…

A: Given:-  e = 1.602 x  10-19 C,  m= 9.11 x 10-31 kg) e/m(theoretical)= 1.759 x 1011 Find:- Find a way…

Q: An infinite cylindrical structure constructed from two different magnetic materials with the…

A: Given:We have a coaxial cylinder,such that region 1 is free space,μr1 = 1  region 2, μr2 = 6region…

Q: Ex. 3: An electron performs uniform circular motion in a region of magnetic field of induction 2 x…

A: To find-Linear momentum of electron (P)=/Given-Magnetic induction (B)=2×10-3 wb/m2Radius (r)=1…

Q: In one experiment, a proton with a kinetic energy of 1 MeV orbits on a circular path in a…

A: 0.5 MeV

Q: Derive a formula for the time taken for a charged particle of mass m, charge q moving at velocity v…

A: When a charged particle of mass m ,charge q ,and velocity v  is projected into a transverse magnetic…

Q: If B is the uniform magnetic field and the potential A=1/2 (B xr), calculate div A.

A: I have written the given things

Q: Find the radius of curvature (in m) of the path of a 0.220 MeV proton moving perpendicularly to the…

A: Given, 1 MeV = 1.6×10-13 J energy of proton, E = 0.220 MeV = 0.220× 1.6×10-13 J Magnetic field, B =…

Q: Conducting spherical shell of radius b, located at the origin, has a potential V=V,b/r for r>b and…

A: Given information: Here, V is the potential outside the conducting shell, b is the radius of the…

Q: In a particular decay process, two charged particles, labeled "A" and "B" were released, which enter…

A: Here given two charges A and B the magnetic field is uniform and pointing into the plane  Va and Vb…

Q: A positron with kinetic energy 2.10 keV is projected into a uniform magnetic field of magnitude…

A: mass of positron (m) = mass of electron kinetic energy of positron = 2.10 keV Magnetic field…

Q: Given a current (I; 5.0 A) carrying loop of radius (r; 5 cm) placed across the external magnetic…

A: Given data The current in the loop is: I = 5 A The radius of the loop is: r = 5 cm = 0.05 m The…

Q: E18R.2 Suppose an electron is moving at a speed of 0.001c in a magnetic field that keeps it in a…

A: Given:        Radius, R1=20cm        Radius, R2=10cm      speed of electron ,v1=0.001c       speed…

Q: Please answer within 60 minutes.

A: The magnetic field strength can be calculated using the equation, B = ((2 x 3.14 x v )/ e)1/2 x…

Q: What is the Larmor precession frequency (in Hz) measured by proton precession magnetometer for a…

A: SOlution: Given that B = 50000 nT gyromagnetic ratio of proton Yp = 0.267513 nT-1S-1

Q: Question 1) A cylinder with uniform surface current "K (A/m)", (rotating in the phi direction, is…

A: For a cylinder we can consider it to be made of a number of disk stacked one of the other. The…

Q: Find the radius of curvature (in m) of the path of a 0.285 MeV proton moving perpendicularly to the…

A:

Q: (1) Find the velocity of a beam of electrons (i.e., +x-direction) that goes undeflected  thru…

A:

Q: potential A produced by this wire and from this calculate the magnetic field B = V × A.

A:

Q: A beam of electrons travelling with speed 1.2 × 107ms-1 in an evacuated tube is made to move in a…

A: Given that: v=1.2×107 ms-1B=1.4 mT=1.4×10-3 TRelectron=0.048 mEproton=500 GeV=500×109…

Q: Use the Biot-Savart law to fi nd the magnetic fi eld in the frame of an electron circling a nucleus of…

A: In the electron's frame of reference, an electron is at rest, and the nucleus or protons will be…

Q: Consider a region where the following electric and magnetic fields are present: Ē = 20a, + 40ay -…

A: Given data: The electric field is, The magnetic field is, The electron velocity is, v=5 Mm/s in…

Q: A proton makes 100 revs in a cyclotron and emerges at a radius of 50 cm with an energy of 10 MeV.…

A:

Q: A quadratic frame (m = 0.6 kg, Heat Capacity C = 260 J/K, electrical resistivity p= 0.1 mm²/m),…

A: Given data: The length of arm L =a=1m The velocity of coil v=20 m/s  The MAGNETIC FIELD B =2 Vs/m2…

Q: An electron moves in an uniform magnetic field (with the orbital plane perpendicular to the field).…

A:

Q: Find the frequency of revolution of an electron with an energy of 100 eV in a uniform magnetic field…

A: Given  Magnetic field B = 64 × 10-3 Tesla  Mass of electron m = 9.1 ×10 -31 kg  Charge on electron e…

Q: An electron of kinetic energy 0.977 keV circles in a plane perpendicular to a uniform magnetic…

A:

Q: ind the force on a 1.70 x 10-27 kg mass and 1.60 x 10-19 C charged particle entering the B = 5 mT…

A: Given that:m=1.7×10-27 kgq=1.6×10-19 CB=5 mTv=83.5 km/s

Q: ... which have been ray's Fx. 12: Cathode accelerated by a potential difference of 1000 volt enter…

A: In this question, let us find the em ratio and speed of the electrons v, when they cathode rays are…

Q: The First Adiabatic Invariant says the number of magnetic field lines enclosed by an orbiting…

A:

Q: been Cathode rays which have accelerated by a potential difference of 1000 volt enter in mutually…

A: To find-(1) em(2) Speed of electronsGiven-P.D.=1000 VE=20 V/cm=2×103 V/mB=10-4 Tesla

Q: Derive the force equation F= -μVB on a guiding center of a charge (with magnetic moment µ) moving in…

A: Magnetic dipole moment is a vector quantity which means it has direction and magnitude to it. The…

Q: The first cyclotron used a 1.3 T magnetic field and had an 11 cm radius. (a) Find the maximum…

A: Given : Magnetic field B = 1.3 T             Radius r = 11 cm = 0.11 m             Mass of proton mp…

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.