The electric charge flowing through a wire and crossing its 2 cm2 section is described by the expression q(t) = 3 − 4t + 5t 2 where t is in seconds and q in coulombs. i) Find an expression for the electric current i(t), ii) What is the current density J at t=1s? iii) What is the resistance of wire if the wire’s resistivity is 1.72x10 -8 Ω m at room temperature and its length is 100m?