28. Magnetic Fields and Forces

Which description best matches the use of the right-hand palm rule for determining the direction of force on a positive charge moving in a magnetic field?$F$ (force), $q$ (positive charge), $B$ (magnetic field), and $v$ (velocity) are involved.

Which of the following correctly describes the right-hand rule for determining the direction of the magnetic field around a straight wire carrying current to the $\mathrm{right}$?

An electron travels with $\vec{v}=(5.0\times {10}^6\hat{i})\text{m/s}$ through a point in space where $\vec{E}=(2.0\times {10}^5\hat{i}-2.0\times {10}^5\hat{j})\text{V/m}$ and $\vec{B}=-0.10\hat{k}\text{T}$. What is the force on the electron?

A proton moving in a uniform magnetic field with ${\vec{v}}_1=(1.00\times {10}^6\hat{i})\text{m/s}$ experiences force ${\vec{F}}_1=(1.20\times {10}^{-16}\hat{k})\text{N}$. A second proton with ${\vec{v}}_2=(2.0\times {10}^6\hat{j})\text{m/s}$ experiences ${\vec{F}}_2=(-4.16\times {10}^{-16}\hat{k})\text{N}$ in the same field. What is $\vec{B}$? Give your answer as a magnitude and an angle measured counter-clockwise from the $+x$-axis.

A proton moves in the magnetic field B = 0.50 î T with a speed of 1.0 x 10⁷ m/s in the directions shown in FIGURE EX29.27. For each, what is magnetic force F on the proton? Give your answers in component form.

An electron in a cathode-ray tube is accelerated through a potential difference of 10 kV, then passes through the 2.0-cm-wide region of uniform magnetic field in FIGURE P29.60. What field strength will deflect the electron by 10°?

A rocket cruises past a laboratory at 1.00×10⁶ m/s in the positive x-direction just as a proton is launched with velocity (in the laboratory frame) $\vec{v}=(1.41\times {10}^6\hat{i}+1.41\times {10}^6\hat{j})$ m/s. What are the proton's speed and its angle from the y-axis in the rocket frame?