A Geiger counter is like an electroscope that discharges wheneverions formed by

Question

A Geiger counter is like an electroscope that discharges wheneverions formed by a radioactive particle produce a conducting path. Atypical Geiger counter consists of a thin conducting wire of radius0.002 cm stretched along the axis of a conducting cylinder ofradius 2.0 cm. The wire and the cylinder carry equal and oppositescharges of 8 ´ 10-10 C all along their length of 10.0 cm. Whatis the magnitude of the electric field at the surface of the wire? A Geiger counter is like an electroscope that discharges wheneverions formed by a radioactive particle produce a conducting path. Atypical Geiger counter consists of a thin conducting wire of radius0.002 cm stretched along the axis of a conducting cylinder ofradius 2.0 cm. The wire and the cylinder carry equal and oppositescharges of 8 ´ 10-10 C all along their length of 10.0 cm. Whatis the magnitude of the electric field at the surface of the wire?

Explanation / Answer

r = 2*10^-5 m

Q = 8*10^-10 C

L = 0.10 m

E = (4pi*k*Q)/(2pi*r*L) = (2*9*10^9*8*10^-10)/(2*10^-5*0.10) = 7.2 × 10^6 N/C

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