Question:
Mam, in the 18th and 19th videos of Electric charges and fields, does the vertical component of E always cancel even if fi1 and fi2 are not equal
Answer:
This is with reference to Class 12 Physics Electric charges and fields video part 19. In this video discussion is about Electric field intensity due to infinite long conductor.
E = kλ/r (sin Ф1 + sin Ф2) is the final expression for electric field intensity due to infinite long conductor.
The vertical component cancels out only because of symmetry between the upper and the lower part. The symmetry exists as Ф1 and Ф2 are the same. If they are not same, then the initial condition / assumption should be re-considered to approach the problem.
In other words, the vertical component cancels out only because Ф1 and Ф2 are the same.
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