What happens to the electric field strength if the distance from a point charge

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Question: What happens to the electric field strength if the distance from a point charge is tripled?

Options:

Correct Answer: It becomes one-ninth

Solution:

The electric field strength E ∝ 1/r², so if distance is tripled, the field strength becomes 1/9 of the original.

What happens to the electric field strength if the distance from a point charge is tripled?

What happens to the electric field strength if the distance from a point charge is tripled?

Correct Answer: 1/9 of the original electric field strength

Step 1: Understand that electric field strength (E) is related to distance (r) from a point charge.
Step 2: Know the formula that describes this relationship: E is proportional to 1 divided by the square of the distance (E ∝ 1/r²).
Step 3: If the distance (r) is tripled, we can express this as r = 3 times the original distance.
Step 4: Substitute this new distance into the formula: E becomes proportional to 1/(3r)².
Step 5: Calculate (3r)², which equals 9r².
Step 6: Now, E is proportional to 1/9r², which means the electric field strength is reduced to 1/9 of the original strength.

Inverse Square Law – The electric field strength from a point charge decreases with the square of the distance from the charge.