An airplane is flying through a thundercloud at a height of 2010 m. (A very dangerous thing to do because of updrafts, turbulence, and the possibility of electric discharge.) If there is a charge concentration of 46.9 C at height 4090 m within the cloud and −59.7 C at height 570 m, what is the magnitude of the electric field E at the aircraft? The Coulomb constant is 8.98755 × 109 N · m2 /C 2 . Answer in units of V/m.

The value is

Explanation:

From the question we are told that

The height of the airplane is

The first charge concentration is

The height of the first charge concentration is

The second charge concentration is

The height of the second charge concentration is

The electric field due to the first charge concentration is

Here k is the Coulomb constant given in the question

The electric field due to the second charge concentration is

Generally the superposition principle can be applied in this question as follows

=>

=>

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