Four point charges q_A = 2 μC, q_B = – 5 μC, q_c = 2 μC, and q_D = –5 μC are located at the corners of a square ABCD of side 10 cm. What is the force on a charge of 1 μC placed at the centre of the square?

Solution

Suppose a square ABCD with each side of 10 cm and centre 0. At the centre, the charge of 1 μC is placed.

q_{D} = - 5 μC q_{C} = 2 μC q_{A} = 2 μC q_{B} = - 5 μC

Applying Coulomb's law,

F_{OA} = \frac{1}{4 π \in_{\circ}} \frac{q_{O} q_{A}}{{OA}^{2}} F_{OC =} \frac{1}{4 π \in_{\circ}} \frac{q_{o} q_{C}}{{OC}^{2}}

As q_A = q_cand since OA=OC, the charge of 1 μC experiences equal and opposite forces F_O_A and F_O_c due to charges q_A and q_C.
That is, F_OA= - F_{OC
$\Rightarrow$}F_OA+F_OC=0

Similarly, the charge 1 μC experiences equal and opposite forces. F_O_B and F_O_D due to equal charges q_B and q_D at B and D.
Therefore, F_OB+ F_OD= 0.

F_{n e t} = 0

Thus, the net force on charge of 1 μC due to all the given charges is zero.

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Electric Charges And Fields

Four point charges q_A = 2 μC, q_B = – 5 μC, q_c = 2 μC, and q_D = –5 μC are located at the corners of a square ABCD of side 10 cm. What is the force on a charge of 1 μC placed at the centre of the square?

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Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

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For Daily Free Study Material Join wiredfaculty

Electric Charges And Fields

Four point charges qA = 2 μC, qB = – 5 μC, qc = 2 μC, and qD = –5 μC are located at the corners of a square ABCD of side 10 cm. What is the force on a charge of 1 μC placed at the centre of the square?

Some More Questions From Electric Charges and Fields Chapter

Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Four point charges q_A = 2 μC, q_B = – 5 μC, q_c = 2 μC, and q_D = –5 μC are located at the corners of a square ABCD of side 10 cm. What is the force on a charge of 1 μC placed at the centre of the square?