Practice question
Question
Two charges q_1 = 2 μC and q_2 = -2 μC are 10 cm apart. What is the electric field at the midpoint between them?
Explanation
Given:
Two charges q_1 = 2 μC and q_2 = -2 μC are 10 cm apart. What is the electric field at the midpoint between them?
These values define the system as per NCERT data.
Formula:
E_1 = k q_1/r² (towards q_2 ), E_2 = k |q_2|/r² (towards q_2 ).
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
Midpoint is 5 cm (0.05 m) from each charge. . E_1 = 9 × 10⹠× frac2 × 10â»â¶(0.05)² = 7.2 × 10â¶ N/C, E_2 = 7.2 × 10â¶ N/C . Net E = E_1 + E_2 = 7.2 × 10â¶+ 7.2 × 10â¶= 1.44 × 10â· N/C (towards q_2 ).
Result:
The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
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