A certain circuit element is known to be a
pure resistance, a pure inductance, or a pure
capacitance. Determine the type and value
(in ohms, henrys, or farads) of the element if
the voltage and current for the element are
given by v(t) = 100 cos(200t + 30◦) V,
i(t) = 2.5 sin(200t + 30◦) A