Electric Current

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Electric Current

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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.

Quiz

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