Current electricity deals with the movement of electric charges in a conductor. This chapter covers concepts such as electric current, resistance, Ohm’s law, and various electrical circuits.
Electric current is the flow of electric charge through a conductor. It is given by:
I = Q/t
where I is the current, Q is the charge, and t is the time.
Ohm’s law states that the current flowing through a conductor is directly proportional to the voltage applied across it and inversely proportional to its resistance.
V = IR
where V is the voltage, I is the current, and R is the resistance.
Resistance opposes the flow of current and is given by:
R = ρ (L/A)
where ρ is the resistivity, L is the length, and A is the cross-sectional area of the conductor.
For resistors in series, the total resistance is given by:
Rtotal = R1 + R2 + R3 + ...
For resistors in parallel, the total resistance is given by:
1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ...
The sum of currents entering a junction is equal to the sum of currents leaving the junction.
ΣIin = ΣIout
The sum of all voltages around a closed loop is zero.
ΣV = 0
The power consumed in a circuit is given by:
P = VI = I²R = V²/R
The electrical energy is:
E = Pt
This chapter is crucial for solving JEE Physics problems related to electric circuits, resistances, and network theorems.