Q. 3: A proton moves through a uniform magnetic field given by B = (30 î – 205) mT. At a timet1, the proton has a velocity given by =the proton is FB(Vz î + (2000m/s)ĵ) and the magnetic force of(4 * 10-17N) k. At that instant, what is the velocity vx?

We know that magnetic force on a charge particle with charge q in a magnetic field B→ is given by FB→ =qv→×B→ here v→ is the velocity of the charge particle. Given Data:- In the given problem the charge particle is a proton. Charge of a proton is q=1.6×10-19 C. Magnetic field is B→=30i^-20j^ mT B→=30i^-20j^ mT×10-3 T1 mT B→=0.030i^-0.020j^ T Velocity of the proton is v→=vxi^-2000j^ m/s Magnetic force on the pronton is FB→=4×10-17 N Calclulation:- Magnetic force on the proton is FB→=1.6×10-19×vxi^+2000j^×0.030i^-0.020j^ N FB→=1.6×10-19×0-vx×0.020i^×j^+2000×0.030j^×i^-0 N [ we know that i^×i^=0 and j^×j^=0] FB→=1.6×10-19×-vx×0.020k^-60.0k^ N [ As i^×j^=k⏞ and j^×i^=-k⏞] FB→=1.6×10-19×-vx×0.020-60.0 k^ N Now from the given data FB→=4×10-17 N ∴1.6×10-19×-vx×0.020-60.0 k^ =4.0×10-17 k⏞ ⇒-0.020vx-60.0=4×10-171.6×10-19 ⇒-0.020vx-60.0=250 ⇒-0.020vx=310 ⇒vx=-3100.020 m/s ⇒vx=-15500 m/s Answer:- The value of vx is -15500 m/s.

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A proton moves through a uniform magnetic field given by B = (30 î – 20ĵ) mT. At a time t1, the proton has a velocity given by v = (vx î + (2000m/s)ĵ ) and the magnetic force of the proton is F; = (4 * 10-17N) Ê. At that instant, what is the velocity v? %3D

A proton moves through a uniform magnetic field given by B = (30 î – 20ĵ) mT. At a time t1, the proton has a velocity given by v = (vx î + (2000m/s)ĵ ) and the magnetic force of the proton is F; = (4 * 10-17N) Ê. At that instant, what is the velocity v? %3D

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

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.

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Q. 3: A proton moves through a uniform magnetic field given by B = (30 î – 205) mT. At a time
t1, the proton has a velocity given by =
the proton is FB
(Vz î + (2000m/s)ĵ) and the magnetic force of
(4 * 10-17N) k. At that instant, what is the velocity vx?

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