Question

Assume that a lightning bolt can be modeled as a long, straight line of current. If 16 C of charge passes by a point in 1.50 x 10-3 s, what is the magnitude of the magnetic field at a perpendicular distance of 27 m from the lighting bolt. Give your answer in LaTeX: \muμT as a whole number.

Answer 1

`B = 7.9012*10^(-5)T`

Step-by-step explanation:

To solve the problem, the concepts related to the magnetic field and the current produced in a lightning bolt are necessary.

The current is defined by the load due to time, that is to say

`I= (q)/(t)`

Where,

`q= Charge`

`t = time`

So the current can be expressed as:

`I = (16)/(1.5*10^(-3))`

`I = 10666.67A`

Once the current is found it is now possible to find the magnetic field, as this is given by the equation,

`B =(\mu_0)/(2\pi)(I)/(r)`

Where,

`\mu_0 =`Permeability Constant

I= Current

r= radius

Replacing the values we have

`B=(4\pi*10^(-7))/(2\pi)((10666.67)/(27))`

`B = 7.9012*10^(-5)T`