An ionization chamber with parallel conducting plates as anode and cathode has $$5$$ × $$107$$ electrons and the same number of $$singly-charged$$ positive ions per $$cm3$$. The electrons are moving at $$4$$ μ$$A/m2$$. The current density from anode to cathode is The velocity of positive ions moving towards cathode is

Question

An ionization chamber with parallel conducting plates as anode and cathode has $$5$$ × $$107$$ electrons and the same number of $$singly-charged$$ positive ions per $$cm3$$. The electrons are moving at $$4$$ μ$$A/m2$$. The current density from anode to cathode is  The velocity of positive ions moving towards cathode is

Infinity Learn · Accepted Answer

Current density of drifting electrons j $$=$$ $$nevn=5$$ × $$107$$   cm−$$3=5$$ × $$107$$ × $$106$$ m−$$3v=0.4$$ m−$$1$$,  $$e=$$ $$1.6$$ × $$10$$−$$19$$  C ⇒  $$j=3.2$$ × $$10$$−$$6$$ Am−$$2Current$$ density of $$ions=4$$−$$3.2$$  ×  $$10$$−$$6$$ $$=$$  $$0.8$$ ×  $$10$$−$$6$$  $$Am2This$$ gives v for ions $$=$$ $$0.1$$  ms−$$1$$

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An ionization chamber with parallel conducting plates as anode and cathode has 5 × 107 electrons and the same number of singly-charged positive ions per cm3. The electrons are moving at 4 μA/m2. The current density from anode to cathode is The velocity of positive ions moving towards cathode is

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