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What happens to the electric field when the charge is doubled while keeping the
What happens to the electric field when the charge is doubled while keeping the distance constant? (2023)
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Practice Questions
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Q1
What happens to the electric field when the charge is doubled while keeping the distance constant? (2023)
It doubles
It halves
It quadruples
It remains the same
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The electric field E is directly proportional to the charge, so if the charge is doubled, the electric field also doubles.
Questions & Step-by-step Solutions
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Q
Q: What happens to the electric field when the charge is doubled while keeping the distance constant? (2023)
Solution:
The electric field E is directly proportional to the charge, so if the charge is doubled, the electric field also doubles.
Steps: 6
Show Steps
Step 1: Understand that an electric field is created by a charge.
Step 2: Know that the strength of the electric field (E) depends on the amount of charge (Q) and the distance (r) from the charge.
Step 3: Remember the formula for electric field: E = k * Q / r^2, where k is a constant.
Step 4: If the charge (Q) is doubled, replace Q with 2Q in the formula: E = k * (2Q) / r^2.
Step 5: Simplify the equation: E = 2 * (k * Q / r^2).
Step 6: Notice that the new electric field is twice the original electric field, meaning it doubles.
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