Suppose space is divided up into two spaces x 0 and x 0 Su

Suppose space is divided up into two spaces: x < 0 and x > 0.

Suppose further that the electric field in the region x < 0 is a constant 5 V/m and points along the y-axis:

Which of the following statements is TRUE regarding the E-field at the boundary x = 0?

A) The E-field at the boundary (x = 0) must be

since, the normal component of the E-field is continuous across a boundary.

B) It is impossible to know what is going on at the boundary (x = 0), since there are no boundary conditions for electrostatic fields.

C) The E-field at the boundary (x = 0) must be

since, the tangential component of the E-field is continuous across a boundary.

D) The E-field will abruptly change directions at the boundary (x = 0).

Solution

Option C is correct(Et1=Et2)