Question

the graph between voltage and current for a conductor is a straight line which makes angle thita with y-axis. the resistance of the conductor will be​

Answer 1

Answer:

V -I graph for a conductor is a st. line, inclined to voltage axis, according to Ohm's law. If θ is the angle which V - I graph makes with V - axis, then slope of the graph, tanθ=IV=1RorR=1tanθ=cotθ.

Answer 2

Answer:

Step-by-step explanation:

Concept: Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω). Ohms are named after Georg Simon Ohm $(1784-1854)$ , a German physicist who studied the relationship between voltage, current and resistance.

Given: The chart among voltage and current for a guide is a straight line which makes point thita with $y$-pivot.

Find: We need to find the  the opposition of the conductor.

Solution:

From ohm's law $\mathrm{R}=\frac{\mathrm{V}}{\mathrm{i}}$

The slope of $V$-$i$ Graph $\mathrm{S}=\frac{\mathrm{V}}{\mathrm{i}}$

Angle with $y$ axis is given by $\tan \theta=\frac{\mathrm{I}}{\mathrm{V}}$

So, $\mathrm{R}=\mathrm{S}=\frac{1}{\tan \theta}=\cot \theta$