Question

Индукция В магнитного поля в центре проволочного кольца радиусом r =20 см по которому течет ток равна 4 мкТл.Найти разность потенциалов на концах кольца, если его сопротивление R= 3,14 Ом.​

Answer 1

Ответ:

4 В

Объяснение:

r=0.2 м    B=4*10⁻⁶ Тл    R=3.14 Ом    μo=4*π*10⁻⁷ Гн/м    U=?

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Для кругового витка

B=μo*I/(2*r) ----> I=2*r*B/μo

U=I*R=2*r*B*R/μo=2*0.2*4*10⁻⁶*3.14/(4*3.14*10⁻⁷)=4 B

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Answer 2

Calculation of Potential Difference in a Wire Loop

To find the potential difference across the ends of a wire loop in a magnetic field, we can use the formula:

V = B * A * cos(theta) * L

Where: - V is the potential difference - B is the magnetic field strength - A is the area of the loop - theta is the angle between the magnetic field and the normal to the loop - L is the length of the loop

In this case, we are given the radius of the wire loop (r = 20 cm) and the current flowing through it (I = 4 μT). We need to find the potential difference across the ends of the loop.

To calculate the potential difference, we need to determine the magnetic field strength, the area of the loop, and the length of the loop.

Magnetic Field Strength (B)

The magnetic field strength at the center of a wire loop can be calculated using the formula:

B = (mu_0 * I) / (2 * R)

Where: - mu_0 is the permeability of free space (4π * 10^-7 T m/A) - I is the current flowing through the loop - R is the radius of the loop

Substituting the given values, we can calculate the magnetic field strength at the center of the loop.

B = (4π * 10^-7 T m/A * 4 * 10^-6 A) / (2 * 0.2 m)

Calculating the above expression gives us the value of B.

Area of the Loop (A)

The area of the wire loop can be calculated using the formula:

A = π * r^2

Substituting the given value of the radius (r = 20 cm), we can calculate the area of the loop.

Length of the Loop (L)

The length of the wire loop can be calculated using the formula:

L = 2 * π * r

Substituting the given value of the radius (r = 20 cm), we can calculate the length of the loop.

Calculation of Potential Difference

Now that we have the values of B, A, and L, we can calculate the potential difference using the formula mentioned earlier:

V = B * A * cos(theta) * L

Since the wire loop is at the center of the magnetic field, the angle between the magnetic field and the normal to the loop is 0 degrees. Therefore, cos(theta) = 1.

Substituting the values of B, A, L, and cos(theta) into the formula, we can calculate the potential difference across the ends of the wire loop.

Please note that the given sources do not provide specific information related to this calculation. However, the formulas and methods mentioned above are commonly used in physics to calculate potential difference in wire loops in magnetic fields.