Two identical charges are placed 1 m apart. If the magnitude of each charge is d

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Question: Two identical charges are placed 1 m apart. If the magnitude of each charge is doubled, what happens to the force between them? (2022)

Options:

Correct Answer: It quadruples

Exam Year: 2022

Solution:

According to Coulomb\'s law, F ∝ q1 * q2. If both charges are doubled, the force becomes 4 times the original force.

Two identical charges are placed 1 m apart. If the magnitude of each charge is doubled, what happens to the force between them? (2022)

Two identical charges are placed 1 m apart. If the magnitude of each charge is doubled, what happens to the force between them? (2022)

Step 1: Understand that we have two identical charges, let's call them q1 and q2.
Step 2: Initially, the distance between the charges is 1 meter.
Step 3: According to Coulomb's law, the force (F) between two charges is proportional to the product of their magnitudes: F ∝ q1 * q2.
Step 4: If both charges are doubled, we have new charges: q1' = 2 * q1 and q2' = 2 * q2.
Step 5: Now, calculate the new force using the new charges: F' ∝ q1' * q2' = (2 * q1) * (2 * q2).
Step 6: Simplify the equation: F' ∝ 4 * (q1 * q2).
Step 7: This means the new force (F') is 4 times the original force (F).
Step 8: Therefore, if the charges are doubled, the force between them becomes 4 times stronger.

Coulomb's Law – Coulomb's law states that the force between two point charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them.