In a Geiger counter, a thin metallic wire at the center of a metallic tube is kept at a high voltage with respect to the metal tube. Ionizing radiation entering the tube knocks elections off gas molecules or sides of the tube that then accelerate towards the center wire, knocking off even more electrons. This process eventually leads to an avalanche that is detectable as a current. A particular Geiger counter has a tube of radius K and the inner wire of radius a is at a potential of V 0 volts with respect to the outer metal tube. Consider a point P at a distance s from tine center wire and far away from the ends, (a) Find a formula for the electric field at a point P inside using tine infinite wire approximation, (b) Find a formula for the electric potential at a point P inside. (c) Use V 0 = 900 V, a = 3.00 min. P = 2.00 cm, and find the value of the electric field at a point 1.00 cm from the center.
In a Geiger counter, a thin metallic wire at the center of a metallic tube is kept at a high voltage with respect to the metal tube. Ionizing radiation entering the tube knocks elections off gas molecules or sides of the tube that then accelerate towards the center wire, knocking off even more electrons. This process eventually leads to an avalanche that is detectable as a current. A particular Geiger counter has a tube of radius K and the inner wire of radius a is at a potential of V 0 volts with respect to the outer metal tube. Consider a point P at a distance s from tine center wire and far away from the ends, (a) Find a formula for the electric field at a point P inside using tine infinite wire approximation, (b) Find a formula for the electric potential at a point P inside. (c) Use V 0 = 900 V, a = 3.00 min. P = 2.00 cm, and find the value of the electric field at a point 1.00 cm from the center.
In a Geiger counter, a thin metallic wire at the center of a metallic tube is kept at a high voltage with respect to the metal tube. Ionizing radiation entering the tube knocks elections off gas molecules or sides of the tube that then accelerate towards the center wire, knocking off even more electrons. This process eventually leads to an avalanche that is detectable as a current. A particular Geiger counter has a tube of radius K and the inner wire of radius a is at a potential of V0 volts with respect to the outer metal tube. Consider a point P at a distance s from tine center wire and far away from the ends, (a) Find a formula for the electric field at a point P inside using tine infinite wire approximation, (b) Find a formula for the electric potential at a point P inside. (c) Use V0 = 900 V, a = 3.00 min. P = 2.00 cm, and find the value of the electric field at a point 1.00 cm from the center.
The space between the conductors of a long coaxial cable, used to transmit TV signals, has an inner radius a = 0.15 mm and an outer radius b = 2.1 mm. What is the capacitance per unit length of this cable?
Two concentric spherical shells are hooked up to a battery (voltageV = 10.0 V) and charged. The inner shell becomes negatively charged while the outer shellbecomes positively charged. The radius of the outer shell is three times the radius of theinner shell. The capacitance of the system is C = 10.0 pF.a. Assuming this has been connected a long time, how much charge is on the outer shell?b. A particle of charge q = 2.0 μC (microcoulombs) and mass m = 4.0 x 10^-7 kg gets firedfrom the inner shell towards the outer shell. Ignoring gravity, what is the minimuminitial velocity the particle must have, to ensure that it reaches the outer shell?c. What is the radius of the inner sphere? Derive any formulas you use from basic lawssuch as Gauss’ Law or Coulomb’s Law.
Calculate the capacitance of a spherical air-filled condenser with a radius of 3 cm inner shell and 9 cm radius of outer shell.
A) 9 pFB) 7 pFC) 5 pFD) 2 pFE) 4 pF
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