A Geiger counter is like an electroscope that dischargeswhenever ions formed by

Question

A Geiger counter is like an electroscope that dischargeswhenever ions formed by radioactive particle produce a conductingpath. A typical Geiger counter consists of a thin conducting wireof radius 0.002 cm stretched along the axis of a conductingcylinder of radius 2.0 cm. The wire and the cylinder carry equaland opposite charges of 8 x 10-10 C all along theirlength of 10.0 cm. What is the magnitude of the electric field atthe surface of the wire? Please show how A Geiger counter is like an electroscope that dischargeswhenever ions formed by radioactive particle produce a conductingpath. A typical Geiger counter consists of a thin conducting wireof radius 0.002 cm stretched along the axis of a conductingcylinder of radius 2.0 cm. The wire and the cylinder carry equaland opposite charges of 8 x 10-10 C all along theirlength of 10.0 cm. What is the magnitude of the electric field atthe surface of the wire? Please show how

Explanation / Answer

for charge distributed along a wire, the electric field isgiven by Gauss' Law: .    E = q / 2L r  = 8 x 10-10 / 2 * 8.85 x10-12 * 0.10 * 0.00002   =     7.19 x106   N/C

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