Question
Download Solution PDFThree charges +2q, +q, and Q are placed as shown in the figure. For the net force on +q to be zero, the charge on Q must be
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is option 1) i.e. + 2q
CONCEPT:
- Coulomb's law: It states that the magnitude of the electrostatic force F between two point charges q1 and q2 is directly proportional to the product of the magnitudes of charges and inversely proportional to the square of the distance r between them.
It is represented mathematically by the equation:
- Forces due to multiple charges: The force acting on a point charge due to multiple charges is the vector sum of all the individual forces acting on the charges.
CALCULATION:
Given that:
Let the three charges be q1 = + 2q, q2 = +q and q3 = Q
The net force acting on +q will be the sum of forces due to the charge q1 and that due to charge Q. Let these forces be F12 and F32.
Using Coulomb's law,
For the net force on +q to be zero, F12 + (-F32) = 0 ⇒ F12 = F32
⇒ +2q = Q
Last updated on Jun 20, 2025
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