Practice question
Question
A thin spherical shell of radius 24 cm has a charge of 16 μC . What is the electric field at a point 30 cm from the nter?
Explanation
Given:
A thin spherical shell of radius 24 cm has a charge of 16 μC . What is the electric field at a point 30 cm from the nter?
These values define the system as per NCERT data.
Formula:
Outside shell ( r > R ): E = k q/r².
This is standard NCERT relation.
Substitution & Calculation:
k = 9 × 10⁹Nm²/C², q = 16 × 10⁻⁶C, r = 0.3 m . E = 9 × 10⁹ × frac16 × 10⁻⁶(0.3)² = 9 × 10⁹ × frac16 × 10⁻⁶⁰.09 = 1.6 × 10⁶N/C .
Result:
The computed value matches expected outcome and confirms correct choice as per NCERT.
Discussion
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