Question

Из куска однородной проволки сопротивление которорого R=10 ОМ спаяна фигура в виде кольца схордой AC=диаметру кольца кольцо помещают в однородное магнитное поле вектор индукций которого В перепиндикулярен плоскости кольца модоль этого вектора меняеться со временим по закону В=к*т где к = 10Тл/с наити длину проволки если выделяемая в кольце мощность N=2.76мВТ

Answer 1

Дано   R=10 Ом  B=k*t   N=2,76 *10^-3 Вт   L- ?

так как хорда расположена вдоль диаметра то ток через нее не пойдет ( легко убедиться в этом используя правило буравчика для 2 замкнутых контуров)
Значит хорду можно выкинуть
Ф=S*B(t) 
Ф(t)=S*k*t
по закону Фарадея IeI=Ф'=S*k
I=e/R ( по закону Ома)=S*k/R
S=I*R/k     N=I^2/R    I=√N*R
S=√N*R³/k=√2,76*10^-3*1000/10=0,166 м2
S=π*r²
r=√S/π=0б23 м=23 cм
L=2*π*r +2*r=6,28*23+46=190.44 см~ 1,9 м
ОТВЕТ  L=1,9 м

Answer 2

Calculation of the Length of the Wire

To find the length of the wire, we need to consider the power dissipated in the ring and the resistance of the wire.

The power dissipated in the ring can be calculated using the formula:

P = I^2 * R

where P is the power, I is the current flowing through the wire, and R is the resistance of the wire.

Given that the power dissipated in the ring is N = 2.76 mW (milliwatts) and the resistance of the wire is R = 10 Ω (ohms), we can rearrange the formula to solve for the current:

I = sqrt(P / R)

Substituting the given values, we have:

I = sqrt(2.76 mW / 10 Ω)

Now, we can calculate the current flowing through the wire.

Calculation of the Current

To calculate the current, we need to convert the power from milliwatts to watts. Since 1 mW = 0.001 W, we have:

P = 2.76 mW * 0.001 = 0.00276 W

Substituting this value into the formula for current, we get:

I = sqrt(0.00276 W / 10 Ω)

Calculating this expression gives us the value of the current.

Calculation of the Magnetic Field

Next, we need to calculate the magnetic field strength using the given equation:

B = k * t

where B is the magnetic field strength, k is a constant equal to 10 Tl/s (tesla per second), and t is the time.

Since the magnetic field vector B is perpendicular to the plane of the ring, the magnitude of the magnetic field is constant.

Calculation of the Length of the Wire

To find the length of the wire, we need to consider the change in the magnitude of the magnetic field vector B over time. The change in the magnitude of B is given by:

ΔB = B - 0

where 0 is the initial magnitude of the magnetic field vector B.

Since the magnitude of B is constant, we have:

ΔB = B

Now, we can calculate the length of the wire using the formula:

L = (ΔB * A) / (μ * I)

where L is the length of the wire, ΔB is the change in the magnitude of the magnetic field, A is the area of the ring, μ is the permeability of the material, and I is the current flowing through the wire.

Since the wire is in the shape of a ring, the area A can be calculated using the formula:

A = π * r^2

where r is the radius of the ring.

Calculation of the Radius

To find the radius of the ring, we need to consider the given information that the chord AC is equal to the diameter of the ring.

Since the chord AC is equal to the diameter, we can calculate the radius using the formula:

r = AC / 2

Substituting the given values, we can find the radius of the ring.

Calculation of the Length of the Wire (Final Step)

Now that we have the radius of the ring, we can calculate the area A using the formula mentioned earlier.

Substituting the values of ΔB, A, μ, and I into the formula for the length of the wire, we can find the final result.

Please note that I will now provide the search results to verify the information provided above.