Consider the two Lorentz invariants EB and c²B2- E². (a) Suppose that in one inertial frame E B = 0 and c²B2 - E20. Is it possible to find another frame where both E and B are zero? Motivate your answer. (b) Afterwards, suppose that in one inertial frame B = 0 but E0 at some point P. Is it possible to find another frame in which the electric field is zero at P? Motivate your answer.

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Consider the two Lorentz invariants E B and c²B2- Ē².
.
(a) Suppose that in one inertial frame E B = 0 and c²B² - E²0. Is it possible to
find another frame where both E and B are zero? Motivate your answer.
(b) Afterwards, suppose that in one inertial frame B = 0 but E0 at some point P.
Is it possible to find another frame in which the electric field is zero at P? Motivate
your answer.
Transcribed Image Text:Consider the two Lorentz invariants E B and c²B2- Ē². . (a) Suppose that in one inertial frame E B = 0 and c²B² - E²0. Is it possible to find another frame where both E and B are zero? Motivate your answer. (b) Afterwards, suppose that in one inertial frame B = 0 but E0 at some point P. Is it possible to find another frame in which the electric field is zero at P? Motivate your answer.
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