Electrical Circuits

85 flashcards by MentisLibrary

From Ohm's law to phasors, Thevenin equivalents, resonance, and power factor correction. The circuit analysis fundamentals that carry you through the whole electrical curriculum.

What is electric charge, and what unit measures it?
Charge is the fundamental electrical property of matter, carried by electrons (negative) and protons (positive). The SI unit is the coulomb (C). One electron carries 1.602e-19 C.
Define electric current.
Current is the rate of flow of charge past a point in a circuit. One ampere is one coulomb per second.
What is voltage (potential difference)?
Voltage is the energy per unit charge needed to move charge between two points. One volt is one joule per coulomb.
State Ohm's law.
The current through a resistor is proportional to the voltage across it and inversely proportional to its resistance.
Give the three forms of the electrical power formula.
Power is the rate of energy transfer, measured in watts. Substituting Ohm's law into P = VI gives the other two forms.
How do you compute electrical energy consumed, and what is a kilowatt hour?
Energy is power multiplied by time. A kilowatt hour is 1000 W drawn for one hour, the unit on an electricity bill.
How does the resistance of a wire depend on its dimensions and material?
Resistance rises with resistivity and length, and falls with cross sectional area.
What are conductance and conductivity?
Conductance is the reciprocal of resistance, measured in siemens (S). Conductivity is the reciprocal of resistivity.
How does temperature change the resistance of a metal conductor?
For metals, resistance increases roughly linearly with temperature over normal ranges.
How do resistors combine in series?
Series resistances add directly, because the same current flows through each and the voltages add.
How do resistors combine in parallel?
Reciprocals add. For exactly two resistors the product over sum shortcut applies.
Write the voltage divider rule.
In a series string, each resistor takes a share of the source voltage proportional to its own resistance.
Write the current divider rule for two parallel resistors.
Current splits inversely with resistance, so each branch gets the share set by the OTHER resistor over the sum.
State Kirchhoff's current law (KCL).
The algebraic sum of currents entering a node is zero, since charge cannot accumulate at a junction.
State Kirchhoff's voltage law (KVL).
The algebraic sum of voltages around any closed loop is zero, because energy per charge returns to its starting value.
Outline node voltage analysis.
Choose a reference node (ground), label unknown node voltages, write KCL at each unknown node with branch currents expressed as (Vnode - Vother)/R, then solve the linear system.
Outline mesh current analysis.
Assign a circulating current to each independent mesh (usually clockwise), write KVL around each mesh, and solve. Shared branches carry the difference of two mesh currents.
State the superposition theorem.
In a linear circuit, the response to several independent sources equals the sum of the responses to each source acting alone, with the others deactivated.
What is source transformation?
A real voltage source (Vs in series with R) and a real current source (Is in parallel with the same R) are interchangeable at their terminals.
State Thevenin's theorem.
Any linear two terminal network can be replaced by a single voltage source Vth in series with a single resistance Rth.
How do you find Rth when the circuit has only independent sources?
Deactivate every independent source (short voltage sources, open current sources) and compute the resistance looking back into the terminals.
State Norton's theorem and its relation to Thevenin.
Any linear two terminal network reduces to a current source IN in parallel with RN, where RN = Rth and IN is the short circuit current.
State the maximum power transfer theorem for DC.
A load draws maximum power when its resistance equals the Thevenin resistance of the source network.
Define capacitance.
Capacitance is the charge stored per volt applied, measured in farads. One farad is one coulomb per volt.
What sets the capacitance of a parallel plate capacitor?
Plate area and dielectric permittivity increase it, plate separation decreases it.
How much energy is stored in a capacitor?
Energy is one half the capacitance times the voltage squared.
How do capacitors combine in series and parallel?
The rules are the reverse of resistors: parallel capacitances add, series capacitances add as reciprocals.
Write the current voltage relationship for a capacitor.
Capacitor current is proportional to the RATE OF CHANGE of its voltage, so a constant DC voltage gives zero current.
What is the time constant of an RC circuit?
Tau is the product of resistance and capacitance, the time for the exponential to move about 63.2 percent of the way to its final value.
Give the charging equation for an RC circuit driven by a step Vs.
The capacitor voltage rises exponentially from zero toward the source voltage.