Question

Магнитный момент витка равен p=0,05A*м^2. Определить радиус витка, если сила тока в витке I=10A.

Answer 1

P=I*S
S=p/I=0,05/10=0,005 м2
R=sqrt(S/pi)=sqrt(0,005/3.14)=0,04 м=4 см

Answer 2

Calculation of the Radius of the Coil

To determine the radius of the coil, we can use the formula for the magnetic moment of a coil:

p = I * A

where: - p is the magnetic moment of the coil, - I is the current flowing through the coil, and - A is the area of the coil.

Given that the magnetic moment of the coil is p = 0.05 A*m^2 and the current flowing through the coil is I = 10 A, we can rearrange the formula to solve for the radius of the coil.

Let's substitute the given values into the formula:

0.05 A*m^2 = 10 A * A

Simplifying the equation:

0.05 = 10 * A

Dividing both sides of the equation by 10:

A = 0.05 / 10

Therefore, the area of the coil is A = 0.005 m^2.

To find the radius of the coil, we can use the formula for the area of a circle:

A = π * r^2

where: - A is the area of the circle, and - r is the radius of the circle.

Rearranging the formula to solve for the radius:

r = sqrt(A / π)

Substituting the value of A = 0.005 m^2 into the formula:

r = sqrt(0.005 / π)

Calculating the radius using the given formula:

r ≈ 0.0356 m

Therefore, the radius of the coil is approximately 0.0356 meters.

Please note that the calculations provided are based on the given information and assumptions.