on=3.5 Home - Op... M Inbox - mbrowne82... Engineering Mathe... do Rules of calculus - f... (2 marks for each part) b. When an alternating current is sent through a wire coil, the current flow is impeded by it in the same way that a resistor resists or impedes the flow of electrical current through it. It is said to have an impedance - just as a resistor has a resistance. However, because the electrical signal also experiences a phase change, it is usual to refer to it as a complex number, Z. We can write the impedance asi Z = 2in f L, where f is the frequency of the current passed through the coil, L is the inductance of the coil (in units of henry, H) and i is the complex number such that i = -1 If the current passing through the coil has a frequency of 50 Hz (i.e. f = 50) and a magnitude of 6 A, then we can write it as: I = 6 cos (2 x 50nt) + 6i sin (2 x 50nt) where t is time. Assume that Ohm's Law applies to coils (or inductors), in other words, the voltage V across the coil is given by V - IZ. Calculate the impedance of this coil and the voltage across it as a complex number when L - 2.5 x 10 H and t = 0.001 s. Give your answers to two decimal places. (6 marks) Previous Question 4 (24 marks) View Saved Sen nana tour far lator faadh X W