ELECTRIC CURRENT AND
DIRECT CURRENT CIRCUIT
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3.2 RESISTIVITY AND OHM’S LAW

3.6 KIRCHHOFF’S LAWS

3.3 ELECTROMOTIVE FORCE (emf), INTERNAL RESISTANCE AND POTENTIAL
DIFFERENCE

3.4 ELECTRICAL ENERGY AND POWER

3.5 COMBINATION OF RESISTORS

3.7 ELECTRICAL MEASUREMENT DEVICES

3.1 ELECTRICAL CONDUCTION

Resistivity and Ohm’s law

Resistance (R)

Depends on:

  1. Type of material it is made
  2. Its length (L)
  3. Its cross-sectional area (A)
  4. Its temperature (T)

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SI unit: Ohm (Ω) @ V/A

Conductivity, σ

Resistivity, ρ

  1. Known as specific resistance
  2. A good electric conductor have a very low resistivity
  3. Good insulators have very high resistivity.
  4. Depends on the length and cross-sectional area.

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SI unit: Ohm meter (Ωm)

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Ohm’s Law

Property which opposes or limits current

The voltage drop across a conductor, V is proportional to the current, I through
it if its physical conditions & temperature are constant

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Electric current, I

Electric field or electric current:
+ve to -ve terminal

Electron flows:
-ve to +ve terminal

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Current density, J

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The direction of current density, J always in the same direction of the current I.

Electrical conduction in metal

: The magnitude of the drift velocity is much smaller than the random velocities of thefree electron.

Drift velocity of charges, Vd

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Emf, ε and potential difference, V

Internal resistance of a battery, r

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(open circuit)

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Vr:potential difference acrossinternal resistance

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Electrical energy, E

Power, P

The energy liberated per unit time in the electrical device.

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SERIES CIRCUIT

PARALLEL CIRCUIT

Equivalent Resistance (RE):
RE = R1+ R2 + R3

Voltage(V):
V =V1 +V 2 +V3 +....+Vn

Current (I):
I = I1 =I2 =I3

Voltage(V):
V =V1=V2=V3

Current (I):
I = I1+ I2 + I3

Equivalent Resistance (RE):
1/RE = 1/R1 + 1/R2 + 1/R3 +....+1/Rn

Kirchhoff’s first law (junction or current law)

Kirchhoff’s second law (loop or voltage law

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I3 = I1 +I2

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For product of IR;

For emf, ε:

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Ammeter (A)
Measures current

Voltmeter (V)
Measures voltage

Ohmmeter
Measure the resistance

Galvanometer

Shunt & Multiplier

Shunt (Pemirau)
A shunt resistor Rs in
parallel

Multiplier (Pendarab)
A multiplier resistor Rm in series