A proton (charge +e, mass mp ), a deuteron (charge +e, mass 2mp ), and an alpha particle (charge +2e, mass 4mp) are accelerated from rest through a common potential difference ∆V . Each of the particles enters a uniform magnetic field B, with its velocity in a direction perpendicular to B. The proton moves in a circular path of radius rp. In terms of rp , determine (a) the radius rd of the circular orbit for the deuteron and (b) the radius ra for the alpha particle.

Q: A particle with charge qenters a region where there is a uniform magnetic field B= Bk. The initial…

A: Given data: Charge =q Magnetic field B→=Bk^ initial velocity v→=vi^ Final velocity v→=-vj^

Q: An electron that has a velocity with x component 1.5 × 106 m/s and y component 3.1 × 106 m/s moves…

A: (a) Magnetic force on an electron in a magnetic field

Q: One long wire lies along an x axis and carries a current of 34 A in the positive x direction. A…

A:

Q: An electron that has a velocity with x component 1.9 × 106 m/s and y component 4.3 × 106 m/s moves…

A: Given value--- velocity with x component 1.9 × 106 m/s and y component 4.3 × 106 m/s . magnetic…

Q: An electron that has a velocity with x component 2.7 × 106 m/s and y component 4.0 × 106 m/s moves…

A:

Q: An electron that has a velocity with x component 2.4 × 106 m/s and y component 4.5 × 106 m/s moves…

A:

Q: Three particles, each with a charge of 5.95 μC and a speed of 455.0 m/s, enter a uniform magnetic…

A:

Q: A particle of mass m = 3 mg and charge |q|= 8 mC enters a uniform magnetic field region (B = 2k T )…

A: Given, mass m=3 mg  charge q=8 mC B=2k T v=31.4 m/s The radius of the circular path…

Q: Three long straight wires are parallel and occupy the vertices of an equilateral triangle, as in the…

A:

Q: A particle (q = 5.0 nC, m = 3.0 μg) moves in a region where the magnetic field has components Bx =…

A: Data Given ,  Charge of the particle ( q ) = 5 nC                = 5 × 10-9 C Mass ( m ) = 3.0 μg =…

Q: One long wire lies along an x axis and carries a current of 54 A in the positive x direction. A…

A: Magnetic field due to the wire on the x-axis is calculated as follows:      B = µ0I/2*pi*r…

Q: A beam of electrons moving with speed v = 2.6 × 107m/s enter and then leave the rectangular region…

A:

Q: One long wire lies along an x axis and carries a current of 37 A in the positive x direction. A…

A:

Q: An electron (charge −e) orbits with speed 2×10^6 [m/s] around a central proton (charge +e, along a…

A:

Q: Three particles, each with a charge of 5.95 μC and a speed of 455.0 m/s, enter a uniform magnetic…

A: This question can be solved easily by applying the concept of Lorentz Force .

Q: An electron that has a velocity with x component 1.7 x 106 m/s and y component 2.6 x 106 m/s moves…

A: We have, F=qv→×B→

Q: A particle with a mass of 8.52 kg and a charge of 5.3 C is projected into a uniform magnetic field…

A: given m=8.52 kgq=5.3 CB=2.62 T

Q: The figure below shows a charged particle that enters at point O and exits at point P. In the given…

A: The mass of the particle, m=1.50×10-26 kg The magnetic field, B=50 T The velocity of the particle,…

Q: An electron that has a velocíty with x component 1.8 × 10° m/s and y component 3.6 x 10° m/s moves…

A: Force on a moving charge particle in an external magnetic field  F = q(V × B)  where  q = charge v =…

Q: A proton is moving with velocity v= (v, i + v, k) m/s, where vy = 6.60 x 105 and v, = 5.90 x 105.…

A:

Q: A particle with charge q = 1.5 C and a long wire carrying current I = 3 A is on the xy-plane at the…

A: Charge q=1.5 C Current through the wire i=3 A Distance of charge from the wire d=0.5 cm Velocity of…

Q: A particle with a mass of 8.52 kg and a charge of 5.3 C is projected into a uniform magnetic field…

A: given m=8.52 kgq=5.3 CB=2.62 T

Q: An electron that has a velocity with x component 1.5 × 106 m/s and y component 4.4 × 106 m/s moves…

A: Solution: Given that velocity with x component 1.5 × 106 m/s and y component 4.4 × 106 m/s  magnetic…

Q: An electron that has a velocity with x component 2.7 x 106 m/s and y component 2.6 x 106 m/s moves…

A:

Q: Electron A is fired horizontally with speed 1.00 Mm/sinto a region where a vertical magnetic field…

A: Charge on each electron that is electron A and electron B : (q) = - 1.6 × 10-19 C Initial speed of…

Q: One long wire lies along an x axis and carries a current of 42 A in the positive x direction. A…

A:

Q: A charged particle (m = 2.0 g, q= -50 uC) moves in a region of uniform field along a helical path…

A: Given: The mass of the charge is 2.0 g. The charge on the particle is -50 μC. The radius of the path…

Q: A proton moves through a uniform magnetic field given by B = (10i - 20j +30k) mT. At time t1, the…

A: Given Magnetic field Velocity Force

Q: A +6µC point charge is moving at a constant speed of 8x106 m/s in the +y-direction, relative to a…

A:

Q: Three particles, each with a charge of 5.95 μC and a speed of 455.0 m/s, enter a uniform magnetic…

A: Answer :-  Given  Charge of a particle (q) = 5.95 uc                                      = 5.95 ×…

Q: A +1.00 µC charged brass marble has a velocity of 15.0 m/s in the positive direction, or ū = (15.0…

A:

Q: An electron that has a velocity with x component 2.1 × 106 m/s and y component 3.4 × 106 m/s moves…

A: Given X-component of velocity of the electron is vx=2.1×106 m/s Y-component of velocity of the…

Q: A charged particle is introduced into a uniform magnetic field Bz = 0.5 mTesla with an initial…

A: mv2r=qvBqm=vBr=1×106 m/s0.5 mT10-3 T1 mT2.4 cm10-2 m1 cm=0.833×1011 C/kg

Q: An electron that has a velocity with x component 1.8 x 106 m/s and y component 2.5 x 106 m/s moves…

A:

Q: An electron (q = 1.6×10^−19C) is moving to the right with velocity v = 5m/s under the influence of a…

A: Here, v= 5m/s B=10 T  angle = 45 degree

Q: In a photographic emulsion, the path of a proton moving perpendicular to a uniform magnetic field of…

A: Given strength of magnetic field,  B = 0.41 T Radius, R = 0.027 m Charge on proton = Q = 1.6 × 10-19…

Q: A proton moves with a velocity of V = (6î – 4ĵ + k) m/s in a region in which the magnetic field is B…

A: According to Lorentz law, when a particle of charge enters into a region of magnetic field, magnetic…

Q: One long wire lies along an x axis and carries a current of 41 A in the positive x direction. A…

A:

Q: A charged particle enters into a region with a uniform magnetic field B, as shown in the figure. The…

A: time is taken by the particle in magnetic field = 89 ns

Q: A+2.00 mC point charge is moving at a constant 5.40 x 10 m/s in the -z direction, relative to a…

A:

Q: 2. A particle with mass 1.81 x 10³ kg and a charge of 1.22 x 10³ C has, at a given instant, a…

A: Given: Mass of the particle: m=1.81×10-3 [kg] Charge of particle: Q=1.22×10-8 [C] Instantaneous…

Q: Protons having a kinetic energy of 4.66 MeV (1 ev = 1.60 x 1019 )) are moving in the positive x…

A: In magnetic field proton follows circular path hence, radius of proton is as follows: r=mveB…

Q: One long wire lies along an x axis and carries a current of 64 A in the positive x direction. A…

A:

Q: when a positively charged particle travelling horizontally with speed V enters a region having a…

A: Given that a positive charge is travelling perpendicular to uniform magnetic field. And this charge…

Q: A charged particle is introduced into a uniform magnetic field Bz = 0.5 mTesla with an initial…

A:

Q: Four particles enter a region of uniform magnetic field with velocities perpendicular to magnetic…

A:

Q: As you know, the general shape of the trajectory executed by a charged particle in the uniform…

A: The magnitude of B and v can be computed as follows.

Q: A uniform magnetic field B = 1.7 x 10-4 T exists in +x direction. A proton (q = +e, and mp = 1.67 x…

A: The expression for the magnetic forces is, Here, q is the charge of the proton, v is the speed, and…

Q: A charged particle is introduced into a uniform magnetic field Bz = 0.5 mTesla with an initial…

A: The given data are: Bz=0.5 mT=0.5×10-3 Tvx=1×106 m/sr=2.4 cm=2.4×10-2 me/m=1.67×1011 C/kg Here, B…

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.