ELECTRIC AND DIRECT CURRENT CIRCUIT

Electric Current

Direct-Current Circuits

Resistance and Ohm's Law

Energy and Power in Electric Circuits

Series and Parallel Circuit

Kirchhoff's Rules

Electric Current : the flow of electric charge from one place to another

Electric Circuit : A closed path through which charge can flow, returning to its starting point

Electric Current, I = Q/t

SI unit, Coulomb per second = Ampere (A)

Electromotive force,emf

A battery that is disconnected from any circuit has an electric potential difference between its terminals

ε = V + Ir

ε = the terminal voltage when current is zero (open circuit voltage)

ϵ = I(r+R)

in terms of internal resistance

series parallel

Ohm's Law , V = IR

SI Unit : volt,V

Two wires of the same length and diameter will have different resistances if they are made of different materials. This property of material called resisitivity.

R = ρL/A

v=ir

Junction Rule

Loop Rule

Consequence of charge conservation

Consequence of energy
conservation

Ist Law Kirchhoff's

2nd Law Kirchhoff's

ΣI(in) = Σ I (out)

Σϵ = ΣIR

Circuit Containing Capacitors

capacitor

RC Circuit

Charging Process

Discharging Process

Q = Q0 (1- e ^ (-t/RC))

V = V0 (1-e^(-t/RC))

I = I0(e^-t/RC)

Q = Q0 e^-t/RC

V = V0 e^-t/RC

I = I0 e^-t/RC

SERIES

PARALLEL

1/Ctotal = 1/C1 + 1/C2 + 1/C3

C total = C1 + C2 + C3

Charge across capacitor is the same and equal to the total charge in the series circuit

Voltage across each capacitor is the same and equal to the voltage in parallel circuit

P = IV

SI Unit : Watt, W

SERIES

Current : Itotal = I1 = I2 = I3

Voltage : Vtotal = V1 + V2 + V3

Resistance: Rtotal = R1 + R2 + R3

PARALLEL

Current : Itotal = I1 + I2 + I3

Voltage : Vtotal = V1 = V2 = V3

Resistance : 1/Rtotal = 1/R1 + 1/R2 + 1/R3