1.7 Forces between Multiple Charges

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1. Three charges each of magnitude q are placed at the corners of an equilateral triangle, the electrostatic force on the charge placed at the center is (each side of triangle is L)

1 point

Zero

(1/4πεo)[(Q^2)/(L^2)]

(1/4πεo)[3(Q^2)/(L^2)]

(1/12πεo)[(Q^2)/(L^2)]

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2. Four charges are arranged at the corners of a square ABCD, as shown in the figure. The force on the charge +q' kept at the centre O is

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Zero

Along the diagonal AC

Along the diagonal BD

Along the diagonal DB

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3. Electric charges of +1 µC, -1 µC and +2 µC are placed in air at the corners A, B and C respectively of an equilateral triangle ABC having length of each side 10 cm. The resultant force on the charge at C is

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0.9 C

1.8 C

2.7 C

3.6 C

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4. Equal charges of q each are placed at the four corners of a square of sides 'a'. The magnitude of force on any of these charges will be

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Option 1

Option 2

Option 3

Option 4

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5. Two equally charged, identical metal spheres A and B repel each other with a force 'F'. The spheres are kept fixed with a distance 'r' between them. A third identical, but uncharged sphere C is brought in contact with A and then placed at the mid-point of the line joining A and B. The magnitude of the net electric force on C is

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3F/4

F/2

F/4

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6. A charge q is placed at the centre of the line joining two equal charges Q. The system of the three charges will be in equilibrium, if 'q' is equal to

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-Q/2

-Q/4

+Q/2

+Q/4

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