Question

A 1.25 x 10-4 C charge is moving5200 m/s at 37.0° to a magnetic fieldof 8.49 x 10-4 T. What is the magneticforce on the charge?

Answer 1

0.0003321 Newtons

Step-by-step explanation

We are given the charge, its velocity, and the magnetic field strength and direction. We can thus use the equation to find the force

`\begin{gathered} F=qvBsinθ \\ where\text{ F is the magnetic force} \\ q\text{ is the charge} \\ v\text{ is the velocity of the charge} \\ Bis\text{ the magnetic field} \\ \theta\text{ is the angle} \end{gathered}`

so

Step 1

Let

`\begin{gathered} q=1.25*10^{-4\text{ }}C \\ v=5200(m)/(s) \\ \theta=37\text{ \degree} \\ B=8.49*10^(-4)T \end{gathered}`

now, replace

`\begin{gathered} F=qvBs\imaginaryI n\theta \\ F=1.25*10^(-4)\text{ C*5200 }(m)/(s)*8.49*10^(-4)Tsin(37) \\ F=0.0003321\text{ Newtons} \\ \end{gathered}`

so, the answer is

0.0003321 Newtons

I hope this helps you