Question

Магнитное поле с индукцией 10 мтл действует на проводник в котором сила тока 50А, с силой 50 мН. найдите длину проводника,если линии индукции поля и ток взаимно перпендикулярны подробно с формулами,пожалуйста

Answer 1

B=10 мTл=50*10^-3 Тл, I= 50А,  F=50 мН =50*10^-3 Н, α=90°.
   
L-? 
F=BILsinα =BIL, т.к sin 90°=1. L=F/(BI),
L=50*10^-3/(50*10^-3*50) = 0,02 м.

Answer 2

Calculating the Length of the Conductor in a Magnetic Field

To calculate the length of the conductor in a magnetic field, we can use the formula for the force experienced by a current-carrying conductor in a magnetic field:

F = BIL

Where: - F is the force experienced by the conductor (given as 50 mN) - B is the magnetic field induction (given as 10 mT or 0.01 T) - I is the current flowing through the conductor (given as 50 A) - L is the length of the conductor (to be calculated)

We can rearrange the formula to solve for L:

L = F / (BI)

Substitute the given values: - F = 50 mN = 0.05 N - B = 0.01 T - I = 50 A

Calculating the Length of the Conductor

Using the formula L = F / (BI), we can calculate the length of the conductor:

L = 0.05 / (0.01 * 50) L = 0.05 / 0.5 L = 0.1 m

So, the length of the conductor is 0.1 meters.