BITSAT 2016
- Exam
- BITSAT
- Year
- 2016
- Subject
- Physics
- Chapter
- Electrostatics
BITSAT 2016 · Physics · Electrostatics
The surface charge density of a thin charged disc of radius R is σ...
The surface charge density of a thin charged disc of radius is . The value of the electric field at the centre of the disc is . With respect to the field at the centre, the electric field along the axis at a distance from the centre of the
Options
- Areduces by
- Breduces by
- Creduces by
- Dreduces by
Correct answer
A. reduces by
Step-by-step solution
Electric field intensity at the centre of the disc.
(\mathrm{E}=\frac{\sigma}{2 \epsilon_{0}} \text{ (given) })
Electric field along the axis at any distance from the centre of the disc
(\mathrm{E}^{\prime}=\frac{\sigma}{2 \epsilon_{0}} \left(1-\frac{\mathrm{x}}{\sqrt{\mathrm{x}^{2}}-\mathrm{R}^{2}}\right))
From question, () (radius of disc)
()
(\therefore) \% reduction in the value of electric field
\%=70.7 \%)