Electric current is the flow of electric charge through a conductor, such as a wire, due to the movement of electrons or other charge carriers.
Conventional Current:
Conventional current is the hypothetical direction of positive charge flow, opposite to the actual flow of electrons. It is used for ease of understanding and calculation in circuit analysis.
I = q/t => [q = ne]
Types of Current:
There are two types of currents:
Direct Current (DC):
Direct current is an electric current that flows in one direction only, maintaining a constant polarity over time, commonly produced by batteries or DC power sources.
Alternating Current (AC):
Alternating current is an electric current that reverses direction periodically, oscillating between positive and negative values, typically used in household electricity supply and generated by alternating voltage sources.
Potential Difference:
Potential difference, also known as voltage, is the electric potential energy per unit charge between two points in an electric circuit. It drives the flow of electric current.
Formula:
The potential difference (\(V\)) between two points is calculated using the formula:
\begin{equation} V = \frac{W}{Q} \end{equation}
where,
(V) = Potential difference (measured in volts, V)
(W) = Work done in moving charge between the points (measured in joules, J)
(Q) = Charge moved between the points (measured in coulombs, C)
SI Unit:
The SI unit of potential difference is the Volt (V).
Electromotive Force:
Electromotive force is the energy per unit charge supplied by a source, such as a battery or generator, to drive electric current in a circuit. It’s not a force in the traditional sense but rather a potential difference.
Formula:
The electromotive force (E) is related to the potential difference (V) across the terminals of a source and the internal resistance (r) of the source:
\begin{equation} E = \frac{W}{q} \end{equation}
Where:
( E ) = Electromotive force (Volts, V)
( V ) = Potential difference (Volts, V)
( I ) = Current flowing through the circuit (Amperes, A)
( r ) = Internal resistance of the source (Ohms, Ω)
S.I Unit:
SI unit of EMF is Volt (V).
Ohm's Law:
Ohm’s Law states that the current flowing through a conductor is directly proportional to the voltage across it, at a constant temperature.
Formula:
Ohm’s Law is mathematically represented as:
\[I = \frac{V}{R}\]
Where:
( I ) = Current flowing through the conductor (Amperes, A)
( V ) = Voltage across the conductor (Volts, V)
( R ) = Resistance of the conductor (Ohms, Ω)
Limitations of Ohm's Law:
1. Temperature Dependency:
Ohm’s Law assumes constant temperature, while resistance can change with temperature.
2. Non-Ohmic Materials:
It does not apply to materials that don’t follow a linear V-I relationship.
3. Time Dependency:
It doesn’t consider time-varying circuits or transient effects.
4. Low Voltage:
At very low voltages, contact resistance and nonlinearities can affect accuracy.
5. Complex Circuits:
Not suitable for complex circuits with nonlinear elements.
6. Frequency Effects:
Not valid for high-frequency AC circuits due to capacitance and inductance effects.
7. Nonlinear Elements:
Doesn’t account for components like diodes or transistors.
8. Nonuniform Materials:
Not applicable to nonuniform materials where resistance varies along the length.
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