A charged particle in a uniform magnetic field will follow a circular path. Derive an equation for the radius of the circular path in terms of the mass of the particle (m), the charge on the particle (q), the strength of the magnetic field (B) and the velocity of the particle (v).

Q: What is the magnetic force on a particle of charge 3.87 nC moves at 25 000 m/s at 55° up the x-y…

A: Given data: The magnitude of the charge is, q= 3.87 nC q= 3.87×10-9 C Speed of the charged particle…

Q: The figure shown is that of a uniform magnetic field directed in the positive z direction. An…

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

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Q: What direction is the magnetic force on a current-carrying wire if the current flows to the left in…

A: direction of current in wire =  -x direction direction of uniform magnetic field  =   -z direction

Q: An electron moves at some instant of time in +x direction with velocity of 2.4x10^2m/s. A magnetic…

A: Given : Velocity of electron, v  = 2.4x102 m/s   direction is positive x direction Magnitude of…

Q: As shown in the figure below, when a charged particle enters a region of magnetic field traveling in…

A: (a)   Write the expression for the magnetic force. F=qv×B From the right-hand rule, the velocity and…

Q: A 3 nano C charge moves with a velocity of 2x10⁴m/s in the positive x-direction in a region in which…

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Q: Consider a lightning bolt at the equator that carries 22000 A. What is the magnitude of the…

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Q: 3.5 x 10° m/s enters a uniform magnetic field of B = 1.5 T. The velocity of the particle makes an…

A: The magnetic field B =1.5T  To find the pitch of the helical path

Q: A 0.150-m wire oriented horizontally between the poles of an electromagnet carries a direct current…

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Q: A particle with charge -5.90 nC is moving in a uniform magnetic field B= -(1.25)k. The magnetic…

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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 charged particle with charge q and velocity  v = vx  + vy   is moving into a region of space with…

A: Given data: A charged particle with charge is, q Velocity of the charge particle is, v = vx  + vyv=…

Q: A charged particle with speed v = 3 × 10° m/s enters a uniform magnetic field of B = 1.3 T. The…

A: To find the helical path of the particle

Q: Consider a particle that has a charge to mass ratio of Im/ql=6.5x10-8 kg/C. The particle enters a…

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Q: In the figure, a small particle of charge -1.7 × 10-6 C and mass m = 2.1 × 10-12 kg has speed v0 =…

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Q: Two very long, straight, and insulated wires are kept at 90° angle from each other in xy- plane as…

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Q: A particle of mass 10 g and charge 80 mC moves through a uniform magnetic field, in a region where…

A: The given values are,

Q: In the figure, two circular arcs have radii a = 14.5 cm and b = 11.3 cm, subtend angle 0 = 72.0°,…

A: The magnetic field due to circular coil is given by B=μoI2R Where I, R are current in coil and…

Q: A proton moves with a velocity of v = (2î – 4f + k) m/s in a region in which the magnetic field is B…

A: Given  Velocity of the proton is given as v→=2i^-4j^+k^ m/s Magnetic field is B→=i^+2j^-3k^ T   We…

Q: A negatively charged particle is at rest in a region where a uniform magnetic field points in the…

A: Given: # a negative charged particle -q # at rest v=0 m/s # B→=Bx^ #E→=Ey^

Q: A proton is going along the +y axis in a region with uniform magnetic field going along the –z-axis.…

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Q: An electron moving in vacuum with a speed of 40000 km/s enters a region in which magnetic field of 4…

A: It is given that,

Q: The figure below shows two very long straight wires (in cross section) that each carry a current of…

A: The direction of magnetic fields due to both current carrying wire, determined by right hand thumb…

Q: A negatively charged particle experiences a force as it travels 2 900 000 m/s in a magnetic field…

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Q: for the status defined, magnetic field B = (2t^3 – 4t^2+1) varies in T form and is r=2R=5cm. a)…

A: Given data, Magnetic field is :- B = (2t3-4t2+1) T Also, t = 2 sec And, r = 2R = 5 cm

Q: Find the magnitude and direction.

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Q: Consider a loop with 9.9 A of current that makes an 6-sided polygon, where the distance from the…

A: The 6 sided polygon consists of 6 straight finite current carrying wires, each of which will produce…

Q: In the figure, two circular arcs have radii a = 14.5 cm and b = 11.5 cm, subtend angle = 78.0°,…

A: Given datai=0.398Aθ=78°a=14.5cmb=11.5cm No need of figure

Q: Consider a particle that has a charge to mass ratio of m/q-5.9x108 kg/C. The particle enters a…

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Q: A wire in the shape shown in the figure is carrying a current i = 3 A. The wire is under a uniform…

A: Scenario - Force is being exerted on current carrying wire due to magnetic field. Given : Current…

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: A semi-circular wire of radius R=3.6 m carries a current I= 7.00 A.  The wire is placed in a uniform…

A: Given that, Radius r =3.6 m Current I =7.00 A Magnetic field = 0.30 T

Q: Given a particle at the origin of a given coordinate system, with charge 0.9962 C, and a velocity…

A: Given :        Charge of the particle, Q = 0.9962 C [at origin O(0,0)]        Velocity of the…

Q: In the figure, two circular arcs have radii a = 14.2 cm and b = 11.1 cm, subtend angle 8 = 78.0°,…

A: Given : a = 14.2 cm = 0.142 m b = 11.1 cm = 0.111 m θ = 78° = 78(π/180) rad = 1.361 rad i = 0.417 A

Q: Two very long, straight, and insulated wires are kept at 90° angle from each other in xy- plane as…

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Q: What is the magnetic force experienced by a current-carrying wire oriented parallel to a uniform…

A: Magnetic force on current carrying wire is given by F = I LB sin θ                       Where ,…

Q: Same charged particles with masses of m1 = 6·m2 and m2 move with the same velocity and penetrate…

A: We know that radius of a path followed by the charged particle in a magnetic field is given by  R…

Q: A wire 1.6 m long carries a current of 12 A. It is in a uniform magnetic field with magnitude 1.2 T…

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Q: . A charged particle moves in a horizontal plane with a speed of 8 70 106 . × m / s. When this…

A: We know that when a charge particle in uniform vertical field a perpendicular force act due to this…

Q: An electron moves horizontally across the Earth's equator at a speed of 2.5X10 km/s and in a…

A: Answer:-  Given  Speed of an electron(V) = 2.5 × 103 km/s              = 2.5 × 106 m/s  Direction of…

Q: A straight wire carries 3.00 A current pointing to the x-axis. What is the magnitude and the…

A: Given that                The current through the wire is (I ) = 3.00A Now we have to find the…

Q: An electron moves through a magnetic field of magnitude 2.0 T at a speed of 5.00x10^6 m/s…

A: me = 9.11 x 10-31 kg IqI = 1.6 x 10-19 C B = 2 T θ = 900 v = 5 x 106 m/s a = ? r = ?

Q: A current path shaped as shown in Figure produces a magnetic field at P, the center of the arc. If…

A: See that here magnetic field due to both wires will be zero, since both have current in opposite…

Q: In an experiment designed to measure the magnitude of a uniform magnetic field, a charge with q =…

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Q: A proton moves with a velocity of v = (2î – 6j + k) m/s in a region in which the magnetic field is B…

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Q: Consider a particle that has a charge to mass ratio of Im/ql%=1.7x10-8 kg/C. The particle enters a…

A: Given: Mass to charge ratio: Magnetic field: Here, the charged particle only makes a quarter of…

Q: A particle (q = −4.0 μC, m = 5.0 mg) moves in a uniform magnetic field with a velocity having a…

A: The magnitude of the magnetic force F on a charge q moving at a speed v in a magnetic field of…

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.