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Question: A drop of \(10^{- 6}\)*kg* water carries \(10^{- 6}\)*C* charge. What electric field should be appli...

A drop of 10610^{- 6}kg water carries 10610^{- 6}C charge. What electric field should be applied to balance it’s weight (assume g = 10 m/sec2)

A

10V/m,10V/m, Upward

B

10V/m,10V/m, Downward

C

0.1 V/m Downward

D

0.1V/m,0.1V/m, Upward

Answer

10V/m,10V/m, Downward

Explanation

Solution

Initial separation between the charges = 0.06m

Final separation between the charges = 0.04m

Since F1r2F \propto \frac{1}{r^{2}}F1F2=(r2r1)2\frac{F_{1}}{F_{2}} = \left( \frac{r_{2}}{r_{1}} \right)^{2}5F2=(0.040.06)2=49\frac{5}{F_{2}} = \left( \frac{0.04}{0.06} \right)^{2} = \frac{4}{9}F2=11.25NF_{2} = 11.25N