Answer to Question #115908 in Electricity and Magnetism for Hamsha

Question

An ion engine has 1 tasla magnetic field and a hydrogen plasma is to be short out at E×B velocity of 1150km/s. How much internal electric field must be present in plasma

Answer 1

According to the book "Introduction to Plasma Physics and Controlled Fusion" by Francis F. Chen (1984), the relation between the velocity, electric, and magnetic field magnitudes can be expressed as

$$v=\frac{E}{B}\rightarrow E=vB=1150\cdot1=1150\text{ V/m}.$$