The quantity of charge q (in coulombs) that has passed through a surface of area 2.00 cm² varies with time according to the equation q = 4t³ + 5t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t= 1.00 s? (b) What is the value of the magnitude of the current density at this time?

The quantity of charge q (in coulombs) that has passed through a surface of area 2.05 cm2 varies with time according to the equation q = 4t3 + 3t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 1.10 s? A (b) What is the value of the current density? KA/m2

An iron wire has a cross-sectional area equal to 5.50 x 10-6 m². Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of 12.0 A. (a) How many kilograms are there in 1.00 mole of iron? 0.055 kg/mol (b) Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic meter). 1.43163 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mol/m³ (c) Calculate the number density of iron atoms using Avogadro's number. atoms/m³ (d) Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom. electrons/m³ (e) Calculate the drift speed of conduction electrons in this wire. m/s Need Help? Read It

A copper wire has a circular cross section with a radius of 1.66 mm. HINT (a) If the wire carries a current of 3.18 A, find the drift speed (in m/s) of electrons in the wire. (Take the density of mobile charge carriers in copper to be n = 1.10 x 102⁹ electrons/m³.) m/s (b) For the same wire size and current, find the drift speed (in m/s) of electrons if the wire is made of aluminum with n = 2.11 x 1029 electrons/m³. m/s