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The I-V graph of three resistances R_1,R_2 and R_3 is shown in the figure below. The correct relation between R_1,R_2 and R_3 is:
Question

The I-V graph of three resistances R_1,R_2 and R_3 is shown in the figure below. The correct relation between R_1,R_2 and R_3 is:

A.

R_3>R_1>R_2

B.

R_3<R_1<R_2

C.

R_1<R_2<R_3

D.

R_1>R_2>R_3

Correct option is B

To determine the correct relationship between R1R_1R1, R2R_2R2, and R3R_3R3
based on the I-V graph, let’s analyze the slopes of each line.

In an I-V (current vs. voltage) graph:

  • The slope of the line represents the resistanceRR R, which is given by R=VIR = \frac{V}{I}R=V/I
  • Conclusion:
  • The correct relationship between the resistances is: R< R1<R2

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