Exam 1: Introduction

Given $j = \sqrt { - 1 }$ , if a sinusoidal potential of angular frequency ( $\theta$ ) is applied, then the admittance of a capacitor with capacitance (C Farad) is given in complex notation as

Consider three resistors, R₁ = 150 $\Omega$ , R₂ = 200 $\Omega$ and R₃ = 250 $\Omega$ . When they are connected in series, the net impedance is (i)__________ $\Omega$ and when they are connected in parallel, the net impedance is (ii)___________ $\Omega$

The impedance of an ideal inductor will have a phase of

Using the circuit given below, calculate the impedance at a frequency of 10^-5 Hz. Here, R_sol = 10 $\Omega$ , R_t = 100 $\Omega$ , C_dl = 10 $\mu$ F. Round the impedance values to one decimal. Z_Re = (i) __________ $\Omega$ and Z_Im = (ii) ___________ $\Omega$ .

For an ideal reference electrode, the impedance should be very large.

In the potentiodynamic polarization data of a simple electron transfer reaction (Fig. below), region (II) is

When the concentration of ions in solution is very low, (< 1 mM) Helmholtz model offers a better description of the double layer capacitor.

Given $j = \sqrt { - 1 }$ , if a sinusoidal potential of angular frequency ( $\omega$ ) is applied, then the impedance of an inductor with an inductance (L Henry) is given in complex notation as

In an electrochemical reaction, the change in Gibbs free energy ( $\Delta$ G) is related to the potential drop across the electrode-electrolyte interface

If a metal, such as Cu, is used as a working electrode, and another piece of the same metal is used as a reference electrode, then any potential applied is evenly divided between the working and reference electrode.

Consider an electrical circuit shown below. For a given value of R₁, R_2, and C₂, the impedance at a wide range of frequencies can be calculated and plotted as a complex plane plot and Bode plots. If the capacitance C₂ is changed,

An ideal reference electrode is polarizable.

A three-electrode system is used in lab experiments so that

For a capacitor with a certain capacitance (C), the relationship between current(i) and potential (E) in time (t) domain is given by

In chrono amperometry, ____________ is measured as a function of _____________

The impedance of an ideal capacitor will have a phase of

A resistor with resistance (R) is connected in parallel with an inductor with an inductance (L). The net impedance of the circuit is given by

An inductor of inductance (L) and a capacitor of capacitance (c) are connected in series. The net impedance of this circuit is

The role of supporting electrolyte is to

As the potential is changed, the rate constant of a chemical reaction