A very long, straight wire carries a current of 5.0 A. A particle, with a charge of -3 x 10-6 C and a speed of 100 m/s, is moving in a direction opposite of the current. The distance between moving charge in the wire is 0.1 m. What is the magnitude of the force on the moving charge?

Respuesta :

Answer:

The magnitude of the force on the moving charge is [tex]3\times10^{-9}\ N[/tex]

Explanation:

Given that,

Current = 5.0 A

Charge [tex]q=-3\times10^{-6}\ C[/tex]

Speed v = 100 m/s

Distance = 0.1

We need to calculate the magnitude of the force on the moving charge

Using formula of force

[tex]F=qvB[/tex]

[tex]F=qv\times\dfrac{\mu_{0}I}{2\pi r}[/tex]

Put the value into the formula

[tex]F=-3\times10^{-6}\times100\times\dfrac{4\pi\times10^{-7}\times5.0}{2\pi\times0.1}[/tex]

[tex]F=-3\times10^{-9}\ N[/tex]

Hence, The magnitude of the force on the moving charge is [tex]3\times10^{-9}\ N[/tex]