Faraday Torque

A non-conducting spherical ball of radius $R$ has a total charge $Q$ , uniformly distributed over its volume. There is a uniform magnetic flux density $\vec{B} = b \, t \, \hat{z}$ , where $b$ is a constant and $t$ is the elapsed time in seconds.

Due to the Faraday effect, an electric field is induced within the ball, resulting in a torque on the ball. What is the magnitude of this Faraday torque (in $N \, m)$ ?

Inspiration

Details and Assumptions:
- $R = 1 \, \text{m}$
- $Q = 1 \, \text{C}$
- $b = 1 \, \text{T/s}$
- $\hat{z}$ is a unit-vector in the $z$ direction