Suppose a charge is moving with a velocity 𝒗⃗ = v 𝒆⃗ 𝒙
, thus, its position vector is 𝒓⃗ 𝒒(t)
= vt 𝒆⃗ 𝒙
, 𝐦𝐞𝐚𝐬𝐮𝐫𝐞𝐝 𝐢𝐧 𝐚𝐧 𝐢𝐧𝐞𝐫𝐭𝐢𝐚𝐥 𝐟𝐫𝐚𝐦𝐞 𝐨𝐟 𝐫𝐞𝐟𝐞𝐫𝐞𝐧𝐜𝐞 𝐒. For a moving frame of
reference S’ in which the charge q defines its origin, Coulomb’s law takes the form
E’ = q/(4πε0) 𝒓′
⃗ / r’3. Find out the electric field in the moving frame of reference S
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