Question

In: Physics

Often times during volcano eruptions the clouds have large static charge buildups that cause lightning to...

Often times during volcano eruptions the clouds have large static charge buildups that cause lightning to happen. If a rock is ejected by the volcano and it flies to a height of 1795 m, and the clouds have a charge concentration of +40.0 C at a height of 3400 m and ?40.0 C at a height of 1000 m, what is the electric field at the ejected rock?

magnitude     1 N/C
direction     2---Select---downwardupward

Solutions

Expert Solution

Note that      
      
E = kq/r^2      
      
      
where      
k =   8.99E+09   N m^2/C^2
q = the source charge   4.00E+01   C
r = the distance from the source charge   = 1605   m
      
For the positive charge.
      
Thus,      
      
E =    -2.2405E+08   N/C [downward]

For the negative charge, note that      
      
E = kq/r^2  

where      
k =   8.99E+09   N m^2/C^2
q = the source charge   -4.00E+01   C
r = the distance from the source charge =    795   m
      
      
Thus,      
      
E =    -4.523E+08   N/C   [downward]

Thus, the net electric field is the sum of these two,

Enet = -6.76*10^8 N / C, DOWNWARD   [FINAL ANSWER]


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