Connect voltage, current and resistance, then use graphs and units confidently in numerical questions.
Quick notes
Understand the I-V graph
For an ohmic conductor, the I-V graph is a straight line through the origin. With I on the vertical axis and V on the horizontal axis, slope is I/V=1/R.
Resistance depends on the conductor
A longer wire has more resistance, while a thicker wire has less resistance.
Formulae
Ohm's law
V=IR
Use when temperature and physical conditions are constant.
Resistance of a wire
R=ρAL
Longer wire means more resistance; greater area means less resistance.
Key methods
1
Numerical questions
Write the given values with units, select one formula, substitute consistently, and write the final unit. Do not mix milliampere with ampere.
2
Graph questions
Check the axes first. For an I-on-vertical and V-on-horizontal graph, slope equals I/V, so a steeper line has lower resistance.
Solved example
A 12 V source is connected across a 4Ω resistor. Find current and power.
1.Use Ohm's law: I=V/R=12/4=3 A.
2.Use P=VI=12×3.
The current is 3 A and the power is 36 W.
Common mistakes
Using V/I as the slope when I is on the vertical axis and V is on the horizontal axis.