In Fig.01, the variable cross section of a circular conductor with a non-uniform diameter that conducts a current of intensity I=5 A is shown. The radius of the cross section A1 is R1=0.4 cm. If the current density through A2 is one quarter of the value through A1, what is the radius of the conductor in A2? A2
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- Consider a copper wire that is being used to deposit charge on a metal plate. Theamount of charge on the metal plate is described by the functionq(t) = c0 + c1t2, where c0 = 1.3 × 10-6 C and c1 = 2.3 × 10-7 C/s2. How much electron current flows through the copper wire at 3.4 s?A current of 500 A flows in a 30 km long copper transmission line (diameter 1.0 cm). a) What is the current density? b) What is the drift speed of the booking drivers? c) How long does it take for a single electron to travel from one end of the transmission line to the other? The number (density) of free charge carriers (electrons) is 8.5×1028 m-3Consider a hollow spherical conductor of inner radius a and outer radius 3a. The conductivity (sigma) is a function of r, measured from the center of the sphere: sigma = c / r, where a < r < 3a and c is a constant. a) If we apply a potential difference V between it's inner and outer surfaces, with the inner surface at a higher potential, find the resulting current density j and the electric field E as a function of r. b) Find the resistance R of the spherical resistor
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