Question

Which of the following relations between R1 and R2 is correct?

a) R1 = R2
b) R1 > R2
c) R1 < R2
d) R1 = R2 = 0
​

Answer 1

Given :

Graph between potential difference and Current is drawn for two resistor R₁ & R₂.

To find :

Relationship between R₁ & R₂.

Solution :

According to Ohm's law , V = i × R

Here,

• V = potential difference across resistor
• i = current flowing through resistor
• R = Resistance

V = i × R

➝ R = V / i. equation 1

_______________________________________________

Now , in given graph

Slope of graph = y/x

➝ Slope of graph = V ÷ i

➝ Slope of graph = R. [ from equation 1 ]

• Therefore more is slope, more is value of R ( resistance)

Now as we can see the slope of graph for R₂ is greater than slope of graph for R₁.

This gives, R₂ > R₁

______________________________________________

ANSWER :

Option c) R₁ < R₂