A water drop of mass 11.0 mg and having a charge of 1.6 × 10-6 C stays suspended in a room. What will be the magnitude and direction of electric Held in the room?

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1 Answers

As the drop is suspended,

Force (F) due to electric field balances the weight of the drop.

∴ F = mg ………….. (1)

Here, m = 11.0 mg

= 11 × 10-6 kg,

q = 1.6 × 10-6 C

Electric field is given by,

E = \(\frac{F}{q}\)

\(\frac{mg}{q}\)

\(\frac{11\times10^{-6}\times9.8}{1.6\times10^{-6}}\)

E = 67.4 N/C

As upward force balances the weight, hence direction of electric field must be vertically upwards.

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