Question

A current in a wire increases from 2 a to 6 a. how will the magnetic field 0.01 m from the wire change? it increases to four times its original value. it increases to three times its original value. it decreases to one-fourth its original value. it decreases to one-third its original value.

Answer 1

It increases to three times it's original value.

Step-by-step explanation:

B

Answer 2

Hi there!

Recall the equation for the magnetic field of a wire (assuming infinite):

`B = (\mu _0 i_(encl))/(2\pi r)`

B = Magnetic field (T)
μ₀ = Permeability of Free Space (Tm/A)

i = enclosed current (A)
r = distance from wire (m)

From the equation, we can see that there is a DIRECT relationship between the current and the magnetic field.

Therefore, if the current is increased by a factor of 3, the FIELD will also be increased by a factor of three.