# Flux through rotating ring

## Homework Statement

A ring can rotate about a horizontal axis(x), and a diameter placed on the x-axis. A uniform field is perpendicular to the ring -B0*y. The diameter of the ring is D. it spins with constant angular velocity ω around the x-axis. At at time t = 0 the ring is entirely in the xy plane

How do i find the flux change per time? And what does it mean that it can rotate around a diameter.
I've attached a figure.

## Homework Equations

$Flux = \int \vec{B}\cdot d\vec{a}$

## The Attempt at a Solution

At a time t = 0 the flux through the loop is 0 and i tried to write a solution using that B is constant:
$Flux = B\int sin(\theta (t))d\vec{a}$
$Flux/dt = B\int cos(\theta(t) ) \omega d\vec{a}$

#### Attachments

• problem.png
19.6 KB · Views: 410

Nwm.
I found out.