Consider a point charge q at rest, situated at the origin of some frame S. Its electric field, accordingto S isE(,t)(1)Of course, its magnetic field is zero. Now, you want to know what will happen to the fields if q movedto the right (positive x direction). Since it is at rest in the S frame, what you can do is go to anotherframe, S', then boost it to the negative x direction. This way, q moves to the right according to S'.Let the velocity of S' be v = −vi.=1 q4περ 12-F.a. Express the fields in the S frame in Cartesian coordinates. What are the components Ex, Ey,and Ex of the electric field?b. Use the field transformations to solve for the components of the electric field in the S' frame.Combine these to write down Ē¹(x, t). Be careful of the signs.c. Solve for the magnetic field components as seen in the S' frame. Combine these to write downB'(,t).

Given:velocity of S' wrt S is, v→ = −vi^in FOR S, we are given thatE→x→,t = 14πεo×qr2r^charge q is…

Consider a point charge q at rest, situated at the origin of some frame S. Its electric field, according to S is Ẽ(2,t) (1) Of course, its magnetic field is zero. Now, you want to know what will happen to the fields if q moved to the right (positive x direction). Since it is at rest in the S frame, what you can do is go to another frame, S', then boost it to the negative x direction. This way, q moves to the right according to S'. Let the velocity of S' be = −2 -vi. = 1 q F. 4περ r2 a. Express the fields in the S frame in Cartesian coordinates. What are the components Ex, Ey, and E₂ of the electric field? b. Use the field transformations to solve for the components of the electric field in the S' frame. Combine these to write down Ē'(x, t). Be careful of the signs. c. Solve for the magnetic field components as seen the S' frame. Combine these to write down B'(x, t).

Consider a point charge q at rest, situated at the origin of some frame S. Its electric field, according to S is Ẽ(2,t) (1) Of course, its magnetic field is zero. Now, you want to know what will happen to the fields if q moved to the right (positive x direction). Since it is at rest in the S frame, what you can do is go to another frame, S', then boost it to the negative x direction. This way, q moves to the right according to S'. Let the velocity of S' be = −2 -vi. = 1 q F. 4περ r2 a. Express the fields in the S frame in Cartesian coordinates. What are the components Ex, Ey, and E₂ of the electric field? b. Use the field transformations to solve for the components of the electric field in the S' frame. Combine these to write down Ē'(x, t). Be careful of the signs. c. Solve for the magnetic field components as seen the S' frame. Combine these to write down B'(x, t).