Question

Проволочный виток радиусом 4 см находится в однородном магнитном поле с индукцией 0,2 Тл. Плоскость витка составляет с линиями индукции угол 30º. Определить поток магнитной индукции, пронизывающий виток.

Answer 1

Ф=B*S*cosa=B*pi*R^2*cosa=0,2*3,14*16*10^-4*0,87=8,74*10^-4 Вб

Answer 2

Calculating Magnetic Flux Through a Wire Loop

To calculate the magnetic flux through the wire loop, we can use the formula:

Φ = B * A * cos(θ)

Where: - Φ = magnetic flux - B = magnetic field strength - A = area of the loop - θ = angle between the magnetic field and the normal to the loop

Given: - Radius of the loop, r = 4 cm - Magnetic field induction, B = 0.2 T - Angle between the plane of the loop and the magnetic field lines, θ = 30º

Solution

First, we need to calculate the area of the loop using the formula for the area of a circle:

A = π * r^2

Substitute the given value of the radius: A = π * (0.04 m)^2

Now, we can calculate the area of the loop.

Next, we can use the formula for magnetic flux to find the magnetic flux through the loop:

Φ = B * A * cos(θ)

Substitute the given values of magnetic field strength, area, and the angle between the magnetic field and the normal to the loop to find the magnetic flux.

Result

By substituting the given values into the formula for magnetic flux, we can calculate the magnetic flux through the wire loop.