What happens to the electric field when the charge is doubled while keeping the

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Question: What happens to the electric field when the charge is doubled while keeping the distance constant? (2023)

Options:

Correct Answer: It doubles

Exam Year: 2023

Solution:

The electric field E is directly proportional to the charge, so if the charge is doubled, the electric field also doubles.

What happens to the electric field when the charge is doubled while keeping the distance constant? (2023)

What happens to the electric field when the charge is doubled while keeping the distance constant? (2023)

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.

Electric Field and Charge Relationship – The electric field (E) created by a point charge is directly proportional to the magnitude of the charge (Q) and inversely proportional to the square of the distance (r) from the charge, as described by the formula E = k * Q / r^2.