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Potential and Potential Energy Relation

If the electr...

Question

If the electric field intensity in a fair weather atmosphere is 100V/m, then the total charge on the earth surface is

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Solution

Dear student,
Electric Field Intensity = 100 V/m .

By Using the Formula ,

Electric Field Intensity = k × Q /r²

Where, k = 8.99 × 10⁹ Nm²/C.

= 9 × 10⁹ Nm²/C ( Approx )

r = radius of the earth
= 6400 km

r = 6.4 × 10⁶ m

Q = Charge on the earth Surface

Thus , put all the values in the formula →

100 = ( 9 × 10⁹ × Q ) ÷ ( 6.4 × 10⁶ )²

⇒ Q = 455.11 × 10³ C .

Thus the charge on earth surface is to be 455.11 ×10³ C.

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