Question

Two large plane parallel sheets shown in the figure have equal but opposite surface charge densities \(+\sigma\) and \(-\sigma\). A point charge q placed at points \(P_1,P_2,P_3\) experiences forces \(\overrightarrow{F_1},\overrightarrow{F_2},\overrightarrow{F_3}\) respectively. Then,

• A. \(\overrightarrow F_1 = 0, \overrightarrow F_ 2 = 0, \overrightarrow F_3 = 0\)
• B. \(F_1 = 0, F_2 \neq 0, F_3 = 0\)
• C. \(F_1 \neq 0, F_2 \neq 0, F_3 \neq 0\)
• D. \(F_1 = 0, F_3 \neq 0, F_2=0\)

Answer 1

The Correct Option is B

The point charge placed at \(P_1\) and \(P_3,\) which are on the outer sides of the sheets, experiences no net force because the fields outside the sheets cancel out. However, the point charge at \(P_2\) between the sheets experiences a net force due to the field between the oppositely charged sheets.