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Moving Charges And Magnetism

Question
CBSEENPH12039736

A charged oil drop is suspended in a uniform field of 3 × 104 V/m so that it neither falls nor rises. The charge on the drop will be (take the mass of the charge = 9.9 × 10−15 kg and g = 10 m/s2 )

  • 3.3 × 10−18 C

  • 3.2 × 10−18 C

  • 1.6 × 10−18 C

  • 4.8 × 10−18 C

Solution

A.

3.3 × 10−18 C

In steady state, electric force on drop = weight of drop
∴ qE = mg

straight q space equals space mg over straight E
space equals space fraction numerator 9.9 space space straight x space 10 to the power of negative 15 end exponent space straight x space 10 over denominator 3 space straight x space 10 to the power of 4 end fraction space equals space 3.3 space straight x space 10 to the power of negative 18 end exponent space straight C