# Why the electric field induced in the $\phi$ component, non-zero as compared to the $s$ and $z$ which are zero?

If we take a coil in a uniform magnetic field, move it around to induced some emf around the coil. And so in order to calculate the curl of the electric field induced in cylindrical coordinate system, I would have to know the electric field components in the $$\hat{\phi}$$, $$\hat{s}$$ & $$\hat{z}$$ and it turns out that the $$\phi$$ of the electric field is non zero, given the condition of the B field being uniform and it pointing in the z direction of the loop (ie loop lies in the x,y plane).How is that electric field components in the $$\hat{\phi}$$ is non-zero with reference to cylindrical coordinate system?

• A diagram showing the direction of the B field, the orientation of the coil, the direction of motion, and the definition of the coordinate system would be very helpful for clarifying your question. – The Photon Aug 25 at 13:55