Question

Figure shows graph between I and V for two conductors A and B. Their respective resistances are in the ratio.(1) 1:1(3) 3:1(2) 1:3(4) 1:2​

Answer 1

Answer:1:3

Explanation:

Here in this case the ratio of the resistance of A and B is ,

RA/RB=tan 30°/tan 60°=1/3

So answer is 1:3

Answer 2

The ratio of the resistance is 1:3.

(2) is correct option

Explanation:

Given that,

The graph between I and V for two conductors A and B.

We need to calculate the resistance of both wire

Using ohm's law

$\dfrac{1}{R}=\dfrac{I}{V}$

According to figure,

For wire A,

$\theta=60^{\circ}$

Put the value into the formula

$\dfrac{1}{R_{A}}=\tan\theta$

$\dfrac{1}{R_{A}}=\tan60$

$R_{A}=\dfrac{1}{\sqrt{3}}$

For wire B,

$\theta=30$

Put the value into the formula

$\dfrac{1}{R_{B}}=\tan30$

$R_{B}=\sqrt{3}$

We need to calculate the ratio of the resistance

Using ohm's law

$\dfrac{R_{A}}{R_{B}}=\dfrac{1}{\sqrt{3}\times\sqrt{3}}$

$\dfrac{R_{A}}{R_{B}}=\dfrac{1}{3}$

Hence, The ratio of the resistance is 1:3.

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Topic : resistance

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