In a uniform electric field near the surface of the Earth, a particle having a c

Question

In a uniform electric field near the surface of the Earth, a particle having a charge of 2.0 × 109 C is acted on by a downward electric force of 3.0 × 106 N. (a) Find the magnitude and direction of the electric field. (b) What are the magnitude and direction of the electric force exerted on a proton placed in this field? (c) What is the gravitational force on the proton? (d) What is the ratio of the electric force to the gravitational force for the proton in this situation? Answer all parts. In a uniform electric field near the surface of the Earth, a particle having a charge of 2.0 × 109 C is acted on by a downward electric force of 3.0 × 106 N. (a) Find the magnitude and direction of the electric field. (b) What are the magnitude and direction of the electric force exerted on a proton placed in this field? (c) What is the gravitational force on the proton? (d) What is the ratio of the electric force to the gravitational force for the proton in this situation? Answer all parts. In a uniform electric field near the surface of the Earth, a particle having a charge of 2.0 × 109 C is acted on by a downward electric force of 3.0 × 106 N. (a) Find the magnitude and direction of the electric field. (b) What are the magnitude and direction of the electric force exerted on a proton placed in this field? (c) What is the gravitational force on the proton? (d) What is the ratio of the electric force to the gravitational force for the proton in this situation? Answer all parts.

Explanation / Answer

a) magnitude can be calculated using F=qE

Electric field = -3e-6/2e-9 = -1.5e3 V/m

Direction is upwards

b) The magnitude and direction of the electric force exerted on a proton placed in this field

1.6e-19*1.5e3 = 2.4e-16 N upwards

c) F= mg = 1.67e-27*10 = 1.67e-26

d) Ratio: 2.4e-16/1.67e-26 = 1.43e10

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