Two nonconducting infinite plane sheets having charges Q and $$2Q$$ are placed parallel to each other as shown in figure. The charge distribution on the four faces of the two plates is also shown. The electric field intensities at three points $$1$$, $$2$$, and $$3$$ are $$E1$$, $$E2$$ and $$E3$$, respectively. Then the magnitudes of $$E1$$, $$E2$$ and $$E3$$ are, respectively (surface$$ area of $$plates)

Question

Two nonconducting infinite plane sheets having charges Q and $$2Q$$ are placed parallel to each other as shown in figure. The charge  distribution on the four faces of the two plates is also shown. The electric field intensities at three points $$1$$, $$2$$, and $$3$$ are $$E1$$,  $$E2$$  and  $$E3$$, respectively. Then the magnitudes of $$E1$$,  $$E2$$  and  $$E3$$  are, respectively (surface$$ area of $$plates)

Infinity Learn · Accepted Answer

Let us take rightward as positive and leftward as negative.These four faces can be considered four thin infinite plane sheets.E→$$1=12$$ε$$0S$$[$$2Q3$$−$$Q3$$−$$Q2$$−$$3Q2$$]$$=$$−$$5Q6$$ε$$0SE$$→$$2=12$$ε$$0S$$[$$2Q3+Q3$$−$$Q2$$−$$3Q2$$]$$=$$−$$Q2$$ε$$0SE$$→$$3=12$$ε$$0S$$[$$2Q3+Q3+Q2$$−$$3Q2$$]$$=0$$

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