Q.

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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a

0.4 m/s

b

16 m/s

c

zero

d

0.1 m/s

answer is D.

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Detailed Solution

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