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Q.

Three, large thin and charged sheets are placed parallel to each other. Surface I has a charge density of 6.5nC/m2, surface II has a charge density -2.0nC/m2 and surface III has a charge density of 5.0nC/m2. Then, 

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a

the net field between I and II is zero.

b

sheet II experiences a force of  1.7×10-7N/m2

c

sheet I experiences a force of 1.1×10-6N/m2

d

the net field between II and III is zero.

answer is C, D.

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Detailed Solution

Magnitude of the electric field due to each sheet is given by, E=σ2ϵ0.

Due to positive charge it is away from the sheet and due to negative charge, it is towards the sheet.

FA=σ1E|-E=σ12ε0σ|-σ            =6.5×10-9C/m228.55×10-12C2/Nm2×(5.0-2.0)×10-9C/m2            =1.1×10-6 N/m2(up)

FA=σE|-E1=σ2ε0σ|-σ1           =-2.0×10-9C/m228.85×10-12C2/Nm2×(5.0-6.5)×10-9C/m2           =1.7×10-7 N/m2(up)

FAIII =σIII EIII-E1=σIII 2ε0σ-σ1 

           =5.0×10-9C/m228.55×10-12C2/Nm2×[(2.0-6.5)×10-9C/m2]

            =-1.3×10-6 N/m2 (down) 

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Three, large thin and charged sheets are placed parallel to each other. Surface I has a charge density of 6.5nC/m2, surface II has a charge density -2.0nC/m2 and surface III has a charge density of 5.0nC/m2. Then,