Current density: A proton beam that carries a total current…

Current density: A proton beam that carries a total current of 1.3 mA has 10.0 mm diameter. The current density in the proton beam increases linearly with distance from the center. This is expressed mathematically as J(r) = J0 (r/R), where R is the radius of the beam and J0 is the current density at the edge. Determine the value of J0.

Resistivity: You are given a copper bar of dimensions 3 cm ×…

Resistivity: You are given a copper bar of dimensions 3 cm × 5 cm × 8 cm and asked to attach leads to it in order to make a resistor.(a) If you want to achieve the SMALLEST possible resistance, you should attach the leads to the opposite faces that measureA) 3 cm × 5 cm.B) 3 cm × 8 cm.C) 5 cm × 8 cm.D) Any pair of faces produces the same resistance.(b)  If you want to achieve the LARGEST possible resistance, you should attach the leads to the opposite faces that measureA) 3 cm × 5 cm.B) 3 cm × 8 cm.C) 5 cm × 8 cm.D) Any pair of faces produces the same resistance.