Alexander-Sadiku
Fundamentals of Electric Circuits
Chapter 1 | |
Basic Concepts |
1.1 Systems of Units. | |
1.2 Electric Charge. | |
1.3 Current. | |
1.4 Voltage. | |
1.5 Power and Energy. | |
1.6 Circuit Elements. |
Charge is an electrical property of the atomic particles of which matter consists, measured in coulombs (C). | |
The charge e on one electron is negative and equal in magnitude to 1.602 ´ 10-19 C which is called as electronic charge. The charges that occur in nature are integral multiples of the electronic charge. |
Electric current i = dq/dt. The unit of ampere can be derived as 1 A = 1C/s. | |
A direct current (dc) is a current that remains constant with time. | |
An alternating current (ac) is a current that varies sinusoidally with time. (reverse direction) |
The direction of current flow |
Example 1 | |
A conductor has a constant current of 5 A. | |
How many electrons pass a fixed point on the conductor in one minute? |
Solution | |
Total no. of charges pass in 1 min is given by | |
5 A = (5 C/s)(60 s/min) = 300 C/min | |
Total no. of electronics pass in 1 min is given |
Voltage (or potential difference) is the energy required to move a unit charge through an element, measured in volts (V). | ||
Mathematically, (volt) | ||
w is energy in joules (J) and q is charge in coulomb (C). | ||
Electric voltage, vab, is always across the circuit element or between two points in a circuit. | ||
vab > 0 means the potential of a is higher than potential of b. | ||
vab < 0 means the potential of a is lower than potential of b. | ||
Power is the time rate of expending or absorbing energy, measured in watts (W). | |
Mathematical expression: | |
The law of conservation of energy |