Question

The strength of a magnetic field around a wire carrying a current of 20 A is 0.004 T. What is the strength of the
magnetic field if the current is changed to 40 A?
A 0.002 T
B 0.004 T
C 0.006 T
D 0.008 T

Answer 1

Answer:

D) 0.008

Explanation:

I just did it on Edg22 and I got it correct :D (Picture above)

Answer 2

Option D) 0.008T is the correct answer.

Hence, if the current is increased to the given value, the strength of the magnetic field around the wire carrying the current increases to 0.008T

Given the data in the question;

First scenario

• Strength of magnetic field; $B = 0.004T$

• Current; $I = 20A$

Second scenario

• Strength of magnetic field; $B' =\ ?$

• Current; $I' = 40A$

Magnetic Field

Magnetic field is a vector field or region around a magnet or electric charge upon which magnetic force is exerted.

To determine the strength of the magnetic field if the current is changed, we equate the two scenario.

$\frac{B}{I} = \frac{B'}{I'}$

We substitute our given values into the expression

$\frac{0.004T}{20A} = \frac{B'}{40A}\\ \\ B' * 20A = 0.004T * 40A\\\\B' = \frac{0.004T * 40A}{20A} \\\\B' = \frac{0.004T * 40}{20}\\ \\B' = \frac{0.16T}{20}\\ \\B' = 0.008T$

Option D) 0.008T is the correct answer.

Hence, if the current is increased to the given value, the strength of the magnetic field around the wire carrying the current increases to 0.008T

Learn more about magnetic field here: https://brainly.com/question/15695203