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Current density

Q1- Suppose a current of I = 1 A flows through a conductor that is tapered. The initial diameter of the conductor is 1 mm with a length of 5 mm. The final diameter of the conductor is 3 mm with a length of 8 mm, the tapered section in between is 10 mm long. (a) What is the current density through all sections of this conductor? (b) Sketch the current density as a function of position throughout the conductor

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Q2- A proton beam that carries a total current of 4.3 mA has a 5.0 mm diameter. The current density in the proton beam increases linearly with distance from the center. This is expressed mathematically as follows J = Je(r/R), where R is the radius of the beam and Je is the current density at the edge. How many protons are delivered each second by this proton beam?

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