Four point charges $q_{A} = 2 μ C, q_{B} = - 5 μ C, q_{C} = 2 μ C$ , and $q_{D} = - 5 μ C$ are located at the corners of a square $A B C D$ of side $10 c m$ . What is the force on a charge of $1 μ C$ placed at the centre of the square?

Question

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Answer 1

The given figure shows a square of side 10 cm with four charges placed at its corners. O is the centre of the square.
Where,
(Sides) $A B = B C = C D = A D = 10 c m$
(Diagonals) $A C = B D = 102 c m$
$A O = O C = D O = O B = 52 c m$
A charge of amount $1 μ C$ is placed at point O.
Force of repulsion between charges placed at corner A and centre O is equal in magnitude but opposite in direction relative to the force of repulsion between the charges placed at corner C and centre O. Hence, they will cancel each other. Similarly, force of attraction between charges placed at corner B and centre O is equal in magnitude but opposite in direction relative to the force of attraction between the charges placed at corner D and centre O. Hence, they will also cancel each other. Therefore, net force caused by the four charges placed at the corner of the square on $1 μ C$ charge at centre O is zero.

Answer 2

The given figure shows a square of side 10 cm with four charges placed at its corners. O is the centre of the square.

Where,

(Sides) $A B = B C = C D = A D = 10 c m$

(Diagonals) $A C = B D = 102 c m$

$A O = O C = D O = O B = 52 c m$

A charge of amount $1 μ C$ is placed at point O.

Force of repulsion between charges placed at corner A and centre O is equal in magnitude but opposite in direction relative to the force of repulsion between the charges placed at corner C and centre O. Hence, they will cancel each other. Similarly, force of attraction between charges placed at corner B and centre O is equal in magnitude but opposite in direction relative to the force of attraction between the charges placed at corner D and centre O. Hence, they will also cancel each other. Therefore, net force caused by the four charges placed at the corner of the square on $1 μ C$ charge at centre O is zero.

Four point charges $q_{A} = 2 μ C, q_{B} = - 5 μ C, q_{C} = 2 μ C$ , and $q_{D} = - 5 μ C$ are located at the corners of a square $A B C D$ of side $10 c m$ . What is the force on a charge of $1 μ C$ placed at the centre of the square?

Two charges of $+ 200 μ C$ and $- 200 μ C$ are placed at the corners B and C of an equilateral triangle ABC of side $0.1 m$ . The force on a charge of $5 μ C$ placed at A is :

Two point charges $q_{1} = 4 μ C$ and $q_{2} = 9 μ C$ are placed $20 c m$ apart. The electric field due to them will be zero on the line joining them at a distance of

Four charges are arranged at the corners of a square ABCD as shown in figure. The force on a positive charge 'Q' kept at the centre of the square is :

Charges of $40 μ C, - 40 μ C$ and $10 μ C$ are placed in air at the corners A, B and C respectively of an equilateral triangle of side $2 c m$ . The resultant force on the charge at C is :

Three charges $1 μ C$ , $1 μ C$ and $2 μ C$ are kept at the vertices A, B and C respestively of an equilateral triangle ABC of $10 c m$ side. The resultant force on the charge at the vertex $C$ is :

Revise with Concepts

Principle of Superposition in Electrostatics

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

Two charges of +200μC and −200μC are placed at the corners B and C of an equilateral triangle ABC of side 0.1m. The force on a charge of 5μC placed at A is :

Two point charges q1​=4μC and q2​=9μC are placed 20cm apart. The electric field due to them will be zero on the line joining them at a distance of

Four charges are arranged at the corners of a square ABCD as shown in figure. The force on a positive charge 'Q' kept at the centre of the square is :

Charges of 40μC,−40μC and10μC are placed in air at the corners A, B and C respectively of an equilateral triangle of side 2cm. The resultant force on the charge at C is :

Three charges 1μC, 1μC and 2μC are kept at the vertices A, B and C respestively of an equilateral triangle ABC of 10cm side. The resultant force on the charge at the vertex C is :

Revise with Concepts

Principle of Superposition in Electrostatics

Four point charges $q_{A} = 2 μ C, q_{B} = - 5 μ C, q_{C} = 2 μ C$ , and $q_{D} = - 5 μ C$ are located at the corners of a square $A B C D$ of side $10 c m$ . What is the force on a charge of $1 μ C$ placed at the centre of the square?

Two charges of $+ 200 μ C$ and $- 200 μ C$ are placed at the corners B and C of an equilateral triangle ABC of side $0.1 m$ . The force on a charge of $5 μ C$ placed at A is :

Two point charges $q_{1} = 4 μ C$ and $q_{2} = 9 μ C$ are placed $20 c m$ apart. The electric field due to them will be zero on the line joining them at a distance of

Charges of $40 μ C, - 40 μ C$ and $10 μ C$ are placed in air at the corners A, B and C respectively of an equilateral triangle of side $2 c m$ . The resultant force on the charge at C is :

Three charges $1 μ C$ , $1 μ C$ and $2 μ C$ are kept at the vertices A, B and C respestively of an equilateral triangle ABC of $10 c m$ side. The resultant force on the charge at the vertex $C$ is :