A toroidal solenoid has a central radius of 0.50 m and a cross-sectional diameter of 10 cm. When a current passes through the coil of the solenoid, the magnetic field inside the solenoid at its CENTER has a magnitude of 2.0 μT. What is the largest value of the magnetic field inside the solenoid when this current is flowing? (μ0 = 4π × 10^−7 T • m/A)

a. 1.8 micro T
b. 0.50 micro T
c. 2.8 micro T
d. 2.2 micro T
e. 3.5 micro T

To solve this problem we will apply the concepts related to the magnetic field. From the magnetic field we will compare what happens with the distance or the radius between the bodies and we will make the replacement with the values we have. The largest value of magnetic field,

Here,

= Permeability at free space

N = Number of loops

I = Current

R = Radius

From this relation we can conclude that the radius is inversely proportional to the Magnetic field, then

If we let the another values as constant we have that the relation between two magnetic field is,

Replacing,

Therefore the correct option is

the answer is c i did the same question so i know that's right!

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s