A small object with charge q and weight mg is attached to one end of a string of length ‘L’ attached to a stationary support. The system is placed in a uniform horizontal electric field ‘E’, as shown in the accompanying figure. In the presence of the field, the string makes a constant angle θ with the vertical. The sign and magnitude of q-
(i) positive with magnitude mg/E
(ii) positive with magnitude (mg/E)tanθ
(iii) negative with magnitude mg/E tanθ
(iv) positive with magnitude E tanθ/mg
(ii) positive with magnitude (mg/E)tanθ
(iii) negative with magnitude mg/E tanθ
(iv) positive with magnitude E tanθ/mg
(ii) positive with magnitude (mg/E)tanθ
Explanation:
`"F"_{"e"}` = mg tan ፀ
qE = mg tan ፀ
q = `(\frac{"Mg"}{"E"})`
tan ፀ = `(\frac{"F"_{"e"}}{"Mg"})`
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