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# The spatial distribution of the electric field due to two charges (A, B) is shown in figure. Which one of the following statements is correct? (A ) is +ve and B -ve and $\left| A \right|{\text{ }} > {\text{ }}\left| B \right|$ (B) is +ve and B -ve and $\left| A \right|{\text{ }} = {\text{ }}\left| B \right|$ (C) Both are +ve but A > B (D) Both are -ve but A > B

Last updated date: 16th May 2024
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Hint Electric field lines originate from positive charge and settle down in negative charge. A positive and a negative charge is said to create its field around itself.

A single point charge will give out electric field lines, which move away from it till infinity. Similarly, a negative point charge will converge electric field lines coming towards it from infinity. Therefore A is a positive charge and B is a negative charge. Moving onto the second part, $\left| A \right|$ and $\left| B \right|$. Magnitude of an electric charge is measured by the number of electric field lines converging or diverging from it. In our case, the number of electric field lines diverging from A is 12. Similarly for B, the number of electric field lines converging on it is also 12. Therefore, the numbers of electric field lines converging or diverging on the 2 charges are equal and hence their magnitude is also equal.