A resistor and capacitor are connected in series across an ac generator. The emf of the generator is given byv(t) = V0 cos ωt, where V0 = 120 V,ω = 120π rad/s, R = 400 Ω , and C = 4.0μF . (a) What is the impedance of the circuit?
(b) What is the amplitude of the current through the resistor?
(c) Write an expression for the current through the resistor.
(d) Write expressions representing the voltages across the resistor and across the capacitor.

(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)

Why does karst topography exist in some geographic location? a. few climates have enough oxygen b. most regions have rock layers other than limestone c. in most regions, the soil is too thin d. the water is too acidic enough in most places

Which of the following could represent a single-replacement reaction? a. element + compound = element + compound b. element + element = compound c. compound +compound = compound + compound d. compound = element + element