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What happens to the electric field strength if the distance from a point charge
What happens to the electric field strength if the distance from a point charge is tripled?
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Practice Questions
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Q1
What happens to the electric field strength if the distance from a point charge is tripled?
It becomes one-third
It becomes one-ninth
It becomes three times
It remains the same
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The electric field strength E ∝ 1/r², so if distance is tripled, the field strength becomes 1/9 of the original.
Questions & Step-by-step Solutions
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Q
Q: What happens to the electric field strength if the distance from a point charge is tripled?
Solution:
The electric field strength E ∝ 1/r², so if distance is tripled, the field strength becomes 1/9 of the original.
Steps: 6
Show Steps
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.
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