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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Electric Field and Potential

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Electric Field and Potential

A water particle with a mass of 10.0 mg and a charge of 1.50 × 10^...

A water particle with a mass of 10.0 mg10.0 \text{ mg} and a charge of 1.50×10−6 C1.50 \times 10^{-6} \text{ C} remains suspended in a room. Determine the magnitude and direction of the electric field in the room.

Options

  1. A65.3 N C−165.3 \text{ N C}^{-1}, downward
  2. B6.53 N C−16.53 \text{ N C}^{-1}, upward
  3. C65.3 N C−165.3 \text{ N C}^{-1}, upward
  4. D1.47 N C−11.47 \text{ N C}^{-1}, upward

Correct answer

C. 65.3 N C−165.3 \text{ N C}^{-1}, upward

Step-by-step solution

For the water particle to remain suspended, the upward electric force must balance the downward gravitational force.

qE=mgqE = mg

E=mgqE = \dfrac{mg}{q}

Substituting the given values, m=10.0 mg=10.0×10−6 kgm = 10.0 \text{ mg} = 10.0 \times 10^{-6} \text{ kg}, q=1.50×10−6 Cq = 1.50 \times 10^{-6} \text{ C}, and g=9.8 m s−2g = 9.8 \text{ m s}^{-2}:

E=10.0×10−6×9.81.50×10−6E = \dfrac{10.0 \times 10^{-6} \times 9.8}{1.50 \times 10^{-6}}

E=981.50=65.3 N C−1E = \dfrac{98}{1.50} = 65.3 \text{ N C}^{-1}

Since the charge is positive, the electric field must be directed upward to exert an upward force.
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