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Flashcards for Current Electricity
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Current Electricity
Electricity produced by the movement of charges.
Electric Current
The rate of flow of electrical charge.
SI Unit of Electric Current
Ampere (A)
Average Current Formula
Aq/At
Instantaneous Current Formula
lim (At->0) Aq/At = dq/dt
Conventional Current Direction
Direction of positive charge flow; opposite to electron flow.
Current
Scalar quantity
Ohm's Law
Voltage across a conductor is directly proportional to the current flowing through it, provided all physical conditions and temperature remain constant.
Resistance
Property that resists the flow of charge/current.
Resistance Formula
R = p(L/A)
Resistivity
Property of a material that resists current flow.
Conductivity
Measure of how well a material conducts electricity; inverse of resistivity.
Drift Velocity
Flow of electrons in a conductor due to an electric field.
Drift Velocity Formula
Vd = (eE/m) * T
Relaxation Time (T)
Average time elapsed between collisions of electrons.
Relationship between Current and Drift Velocity
I = n * e * A * Vd
Current Density (J)
Current flowing per unit area.
Current Density Formula
J = I/A
Mobility of Electrons (µ)
Magnitude of drift velocity per unit electric field.
Mobility Formula
µ = |Vd| / E = eT/m
Specific Resistance
Resistance of a unit length and unit area of a conductor.
Resistivity variation with Temperature
Temperature increases, resistivity also increases
Resistivity Temperature Dependence Formula
P = Po [1 + alpha(T - To)]
Limitations of Ohm's Law
The relation between V and I is not unique
Electrical Power
Electrical work / time
Electrical Power Formula
P = VI = I^2R = V^2 / R
Electrical Energy Formula
P*t = VIt
Internal Resistance (r)
Resistance offered by the electrolyte within a cell.
EMF of a Cell (E)
Potential difference between electrodes when there is no current in the cell (open circuit).
Terminal Voltage Formula (Discharging)
V = E - Ir
Charging cell
Cell's terminal P.D. is greater than its EMF
Current Drawn from a Cell (with Internal Resistance)
I = E / (R + r)
Equivalent EMF in Series Combination of Cells
Eeq = E1 + E2 + …
Equivalent Internal Resistance in Series Combination of Cells
1/Req = 1/r1 + 1/r2 + …
Equivalent EMF in Parallel Combination of Cells
Eeq = E
Equivalent Internal Resistance in Parallel Combination of Cells
1/Req = 1/r + 1/r + … (n times)
Series cells arrangement
Cells are arranged in series to increase the voltage.
Parallel cell arrangement
Cells are arranged in parallel to increase the current.
Kirchhoff's Junction Law
At a junction, the sum of currents entering the junction is equal to the sum of currents leaving the junction.
Kirchhoff's Loop Law
In a closed loop, the algebraic sum of EMFs is equal to the algebraic sum of the product of current and respective resistance flowing through them.