Suppose that a charged particle of diameter 1.00 micrometer moves with constant speed in an electric field of magnitude 1.00×105 newtons per coulomb while acted upon by a drag force of 7.25×10−11 newtons. what is the charge q1 on the particle? ignore the effects of gravity.

The charge q₁ on the particle is about 7.25 × 10⁻¹⁶ C

Electric charge consists of two types i.e. positively electric charge and negatively electric charge.

There was a famous scientist who investigated about this charges. His name is Coulomb and succeeded in formulating the force of attraction or repulsion between two charges i.e. :

F = electric force (N)

k = electric constant (N m² / C²)

q = electric charge (C)

r = distance between charges (m)

The value of k in a vacuum = 9 x 10⁹ (N m² / C²)

Let's tackle the problem now !

Given:

diameter of charged particle = d = 1 μm

electric field strength = E = 1.00 × 10⁵ N/C

drag force = F = 7.25 × 10⁻¹¹ N

Unknown:

charge of particle = q₁ = ?

Solution:

The drag forces is caused by the electric force acting on the charge particles.

Grade: High School

Subject: Physics

Chapter: Static Electricity

Keywords: Series , Parallel , Measurement , Absolute , Error , Combination , Resistor , Resistance , Ohm , Charge , Small , Forces