# ENGR& 204 Electrical Circuits • 4 Cr.

## Department

## Division

## Description:

Introduces fundamental concepts of electrical science. Topics include resistors, sources, capacitors, inductors, and operational amplifiers as individual components and as circuit systems. Also covers simultaneous algebraic equations and differential equations in solution methods. Prerequisite: MATH 238 and PHYS 122.

## Outcomes:

After completing this class, students should be able to:

- General Definitions
- Describe the relationship of atomic elements (proton - electron - neutron) with respect to the definitions of:
- Voltage: electron potential
- Current: electron flow
- Resistors: restriction of electron flow
- Capacitors: electron storage
- Inductors: magnetic field generation due to electron flow
- Convert between unit definitions (coulombs, volts, joules, Watts, amps, Henrys, Farads)
- Properly connect an ammeter to a circuit to measure current.
- Properly connect a voltmeter to a circuit to measure voltage.
- Properly use an ohmmeter for measuring resistance.
- Ohms’s Law and Kirchoff’s Law.
- Compute an equivalent resistance of resistors connected in series or in parallel.
- Compute to voltage potential between two resistors in series (Voltage divider).
- Compute the separate currents flowing in each branch of resistors connected in parallel (Current divider).
- Nodal and Mesh analysis.
- Use substitution and matrix methods when solving simultaneous equations.
- Set up current balance equations entering and leaving a node of an electrical circuit.
- Set up the voltage drop equations within a closed loop of an electrical circuit.
- Thevenin and Norton equivalent circuits.
- Analyze a portion of an electrical circuit containing multiple elements and simplify the portion to a single voltage source and resistor in series (Thevenin equivalent).
- Analyze a portion of an electrical circuit containing multiple elements and simplify the portion to a single current source and resistor in parallel (Norton equivalent).
- Operational Amplifiers.
- Identify the proper resistive-opamp circuit that will:
- sum the voltage input,
- determine the difference of two input voltages,
- invert or not invert the response of the previous two circuits.
- Inductance and Capacitance.
- Compute an equivalent inductance of inductors connected in series or in parallel.
- Compute an equivalent capacitance of capacitors connected in series or in parallel.
- Response of First Order RL and RC circuits.
- Determine the time constant, t, for resistor-inductor and resistor-capacitor circuits.
- Draw the natural response on a current vs. time plot, identifying the initial slope and the current at a time of three time constants.
- Draw the step response on a current vs. time plot, identifying the initial slope and the current at a time of three time constants.
- Response of RLC circuits.
- Determine the time constant, t, for resistor-inductor-capacitor circuits.
- Identify over damped, critically damped, and under damped RLC circuits.
- Determine the period of oscillation of under damped RLC circuits.
- Sinusoidal Steady-State Analysis.
- Draw current and voltage relationships on a time plot and to identify the phase relationship of this plot for a resistor, an inductor, and a capacitor.
- Determine the required resistance, inductance and capacitance values to construct a low pass or a high pass filter with prescribed frequency responses.
- Compute the natural frequency of a RLC circuit.
- Plot the frequency response of a RLC circuit on a Bode logarithmic plot of amplification vs. frequency.