JEE Mains · Physics · STD 12 - 1. Electric charges and fields
A long cylindrical volume contains a uniformly distributed charge of density \(\rho \;Cm ^{-3}\). The electric field inside the cylindrical volume at a distance \(x =\frac{2 \varepsilon_{0}}{\rho} m\) from its axis is \(.......Vm ^{-1}\)
- A \(2\)
- B \(1\)
- C \(0\)
- D \(3\)
Answer & Solution
Correct Answer
(B) \(1\)
Step-by-step Solution
Detailed explanation
\(\int Eds \cos 0=\frac{ q }{\varepsilon_{0}}\) \(\Rightarrow E \cdot 2 \pi \times xh =\frac{\rho \times \pi x ^{2} h }{\varepsilon_{0}}\) \(\Rightarrow E =\frac{\rho x }{2 \varepsilon_{0}}\)…
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