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Class 12 › Physics › Electric Charge and Field
CBSE2021Class Class 12 · Physics1 Marks · Mcq✅ Verified
Three charges, each equal to +q, are placed at the corners of an equilateral triangle. If the force between any two charges is F, then net force on either charge will be:
A. 2F
B. 3F
C. √2 F
D. √3 F
✅ Answer & Solution
✅ Correct Answer: D
<b>Concept:</b> Vector addition of forces.<br><br><b>Setup:</b> Each charge experiences <b>two forces</b> of equal magnitude F from the other two charges.<br><br><b>Angle between forces:</b> Since the triangle is equilateral, the angle between the two force vectors at any corner = <b>60°</b><br><br><b>Formula (Parallelogram law):</b><br>F<sub>net</sub> = √(F² + F² + 2F·F·cos60°)<br><br><b>Calculation:</b><br>F<sub>net</sub> = √(F² + F² + 2F²·(1/2))<br>F<sub>net</sub> = √(F² + F² + F²)<br>F<sub>net</sub> = √(3F²)<br>F<sub>net</sub> = <b>√3 F</b><br><br><b>Answer:</b> Option (D) √3 F
