A small particle with positive charge q=+3.75 × 10^-4C and mass m=5.00 × 10^-5 kg is moving in a

Uploaded: 2022-12-12T05:12:07-08:00
Duration: 6 min 51 s
Channel: Madhur L

First, we need to understand that the electric field will exert a force on the charged particle

Question

A small particle with positive charge $q=+3.75 \times 10^{-4} \mathrm{C}$ and mass $m=5.00 \times 10^{-5} \mathrm{~kg}$ is moving in a region of uniform electric and magnetic fields. The magnetic field is $B=4.00 \mathrm{~T}$ in the $+z$ -direction. The electric field is also in the $+z$ -direction and has magnitude $E=60.0 \mathrm{~N} / \mathrm{C}$. At time $t=0$ the particle is on the $y$ -axis at $y=+1.00 \mathrm{~m}$ and has velocity $v=30.0 \mathrm{~m} / \mathrm{s}$ in the $+x$ -direction. Neglect gravity. (a) What are the $x$ -, $y$ and $z$ -coordinates of the particle at $t=0.0200 \mathrm{~s} ?$ (b) What is the speed of the particle at $t=0.0200 \mathrm{~s} ?$

          A small particle with positive charge $q=+3.75 \times 10^{-4} \mathrm{C}$ and mass $m=5.00 \times 10^{-5} \mathrm{~kg}$ is moving in a region of uniform electric and magnetic fields. The magnetic field is $B=4.00 \mathrm{~T}$ in the $+z$ -direction. The electric field is also in the $+z$ -direction and has magnitude $E=60.0 \mathrm{~N} / \mathrm{C}$. At time $t=0$ the particle is on the $y$ -axis at $y=+1.00 \mathrm{~m}$ and has velocity $v=30.0 \mathrm{~m} / \mathrm{s}$ in the $+x$ -direction. Neglect gravity. (a) What are the $x$ -, $y$ and $z$ -coordinates of the particle at $t=0.0200 \mathrm{~s} ?$ (b) What is the speed of the particle at $t=0.0200 \mathrm{~s} ?$

Added by Julia W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

12/12/2022

Step 1

(a) The force due to the electric field is given by $F_e = qE$, and the force due to the magnetic field is given by $F_m = qvB$. Since the electric and magnetic fields are both in the $+z$ direction, the net force on the particle is in the $+z$ direction. The Show more…

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A small particle with positive charge $q=+3.75 \times 10^{-4} \mathrm{C}$ and mass $m=5.00 \times 10^{-5} \mathrm{~kg}$ is moving in a region of uniform electric and magnetic fields. The magnetic field is $B=4.00 \mathrm{~T}$ in the $+z$ -direction. The electric field is also in the $+z$ -direction and has magnitude $E=60.0 \mathrm{~N} / \mathrm{C}$. At time $t=0$ the particle is on the $y$ -axis at $y=+1.00 \mathrm{~m}$ and has velocity $v=30.0 \mathrm{~m} / \mathrm{s}$ in the $+x$ -direction. Neglect gravity. (a) What are the $x$ -, $y$ and $z$ -coordinates of the particle at $t=0.0200 \mathrm{~s} ?$ (b) What is the speed of the particle at $t=0.0200 \mathrm{~s} ?$