- #1

Adesh

- 735

- 191

- Homework Statement
- Let’s say we have a right handed Cartesian system and magnetic field goes in positive z direction.

- Relevant Equations
- ##\oint \vec E \cdot d\vec l = \frac {d\phi_B}{dT}##

Let’s say we have a right handed Cartesian system and magnetic field goes in positive z direction, and let’s assume that the magnitude of magnetic field varies with time.

Now, if I draw a circle with radius ##r## in the ##x-y## plane and let the magnetic field pass through it and vary with time, then by laws of electrodyanmics we have $$\oint \vec E \cdot d\vec l = \frac {d\phi_B}{dt}$$

My question is can I write ##\oint \vec E \cdot d\vec l = E ~ 2\pi r## ? That is can I assume induced electric field to be circumferential?

Now, if I draw a circle with radius ##r## in the ##x-y## plane and let the magnetic field pass through it and vary with time, then by laws of electrodyanmics we have $$\oint \vec E \cdot d\vec l = \frac {d\phi_B}{dt}$$

My question is can I write ##\oint \vec E \cdot d\vec l = E ~ 2\pi r## ? That is can I assume induced electric field to be circumferential?