From the diagram given above, we can see, there are three forces due to the three other charges are acting on the charge kept at corner at one of the corners of the square.
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Applying the coulomb's law, the force acting between two charges and , kept at a distance can be given as:
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Using the coulomb's law to calculate forces acting between the charges kept at B and C, we get:
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(along BC)
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Using the coulomb's law to calculate forces acting between the charges kept at D and C, we get:
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(along DC)
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Using the coulomb's law to calculate forces acting between the charges kept at A and C, we get:
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From the diagram, it can be seen that the forces and are perpendicular to each other. Thus, using the principle of superposition, the resultant force due to these two forces will be:
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Substitute,
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, we get:
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\n(Along AC)
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Thus, the net force on the charge at D can be calculated using the superposition principle, we get:
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(along AC)
\n\n"},"comment":{"@type":"Comment","text":"Apply the principle of superposition to calculate the total force acting on the given charge."},"encodingFormat":"text/markdown","learningResourceType":"Practice problem","suggestedAnswer":[],"text":"
Four-point charges and are placed at the corners of a square of sideas shown in the figure.
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Find the resultant electric force on a charge .
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Embibe Experts Solutions for Chapter: Electric Charges and Fields, Exercise 1: cbse-2020
Author:Embibe Experts
Embibe Experts Physics Solutions for Exercise - Embibe Experts Solutions for Chapter: Electric Charges and Fields, Exercise 1: cbse-2020
Attempt the practice questions on Chapter 1: Electric Charges and Fields, Exercise 1: cbse-2020 with hints and solutions to strengthen your understanding. EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS solutions are prepared by Experienced Embibe Experts.
Questions from Embibe Experts Solutions for Chapter: Electric Charges and Fields, Exercise 1: cbse-2020 with Hints & Solutions
Three-point charges and are placed at the vertices of an equilateral triangle ABC of side as shown in the figure. Obtain the expression for the magnitude of the resultant electric force acting on the charge .
If the point charge is moved to a distance from the centre of the square and the side of the square is doubled, explain how the electric flux will be affected.
The identical point charges, each, are kept apart in air. A third point charge of unknown magnitude and sign is placed on the line joining the charges such that the system remains in equilibrium. Find the position and nature of .
An electric dipole consisting of charges and separated by a distance is in stable equilibrium in a uniform electric field .The electrostatic potential energy of the dipole is :