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Question

The infinite sheets of uniform charge density 10μCm2,10μCm2and5μCm2 are placed in vacuum as shown. The direction of field intensity at points A and B are respectively?


A

Left, Left

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B

Left, Right

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C

Right, left

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D

Right, Right

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Solution

The correct option is C

Right, left


Let’s call E1,E2 and E3, the intensity of fields due to sheet 1,2 and 3 respectively.

At point A:

Contributions from different sheet are as shown –

Where

|E1|=σ12ε0=10×1062ε0=5×106ε0NC|E2|=σ22ε0=5×106ε0NC|E3|=σ32ε0=5×1062ε0NC|Enst|=|E1|+|E2||E3|=106ε05+52.5=7.5×106ε0NC, towards right

At point B:

Where,

|E1|=5×106ε0NC|E2|=5×106ε0NC|E3|=5×1062ε0NC|Enst|=|E1|+|E2||E3|==106ε0{5552}=2.5×106ε0NC,

Negative sign shows clearly that this net field at point B is towards left.


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