Question

The following graphs represent the current versus voltage and voltage versus current for the six conductors A, B, C, D, E and F. Which conductor has least resistance and which has maximum resistance?

Answer 1

According to ohm’s law, V = IR

Resistance of conductor, R = `"V"/"I"`

Graph-I:

Conductor A, I = 4 A and V = 2 V

R = `"V"/"I" = 2/4 = 0.5` Ω

Conductor B, I = 3 A and V = 4 V

R = `"V"/"I" = 4/3` = 1.33 Ω

Conductor C, I = 2 A and V = 5 V

R = `"V"/"I" = 5/2` = 2.5 Q Ω

Graph-II:

Conductor D, I = 2 A and V = 4 V

R = `"V"/"I" = 4/2` = 2 Ω d

Conductor E, I = 4A and V = 3 V

R = `"V"/"I" = 3/4` = 1.75 Ω

Conductor F, I = 5A and V = 2 V

R = `"V"/"I" = 2/5` = 0.4 Ω

Conductor F has least resistance, R_F = 0.4 Ω,

Conductor C has maximum resistance, R_C = 2.5 G.