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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 towards the anode with velocity 0.4 m/s. The current density from anode to cathode is 4 mA/m2. The velocity of positive ions moving towards cathode is
(a) 0.4 m/s
(b) 1.6 m/s
(c) Zero
(d) 0.1 m/s
(d)
Current = Ie + Ip.
Ie and Ip are current due to electrons and positively charged ions.
I = ne AVd
Given, 1/A = 4 × 10-6 A/m2
4 × 10-6 ×A = 5 × 10-6 × 1.6 × A(v+0.4)
= v + 0.4 Þ 0.5 = v + 0.4 Þ v = 0.1 m/s
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