Two separated regions of a particular thundercloud have equal but opposite charg

Question

Two separated regions of a particular thundercloud have equal but opposite charges so that the cloud effectively acts as a parallel plate capacitor. Assume the electric field equals 98.5 Volt/meters, is uniform between the two regions. The 2 regions are vertical distance of 600 m apart.

a. What is the potential difference between the 2 oppositely charges regions if 600 m apart

b. Within the unifrom electric field regio, what's the potential difference between 2 locations separated by a vertical distance of 2 m?

c. If a free electron starts from rest at the negatively charged region in the cloud, what will its speed be when it has reached a point 2 meters above the negatively charged region? ( use energy conservation to solve this; igore gravitional effects and ignore air resistance.

PLEASE PROVIDE THE STEPS AND SOLUTION FOR SOLVING PART C.

Explanation / Answer

electric field E=98.5 v/m

separation d=600m

a)

v=E*d

=98.5*600

=59100 v

b)

v'=E*d'

=98.5*2

=197 V

c)

1/m*V^2=q*V'

1/2*(9.1*10^-31)*v^2=(1.6*10^-19*197)

===>

v=8.32*10^6 m/sec

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