The graph provided represents voltage and current data for resistor R. What is the resistance of R?



Question 15 options:

4.5 Ω


0.50 Ω


2.0 Ω


9.0 Ω


The Graph Provided Represents Voltage And Current Data For Resistor R What Is The Resistance Of R Question 15 Options 45 Ω 050 Ω 20 Ω 90 Ω class=

Answer :

Since the graph provided represents voltage and current data for resistor R, the resistance of R is 2.0 Ω

What is resistance?

The resistance of a metallic material is its opposition to the flow of electric current.

Resistance is given by R = V/I where

  • V = voltage across resistor and
  • I = current

What is the resistance of R?

To find the resistance of R, we take the gradient of the graph since reistance R = V/I.

So, the resistance R = ΔV/ΔI where

  • ΔV = change in voltage and
  • ΔI = change in current

R = ΔV/ΔI

= (V' - V)/(I' - I)

Taking points from the graph

  • (I,V) = (0, 0) and
  • (I',V') = (4.5, 9.0)

So, substituting the values of the variables into the equation, we have

R  = (V' - V)/(I' - I)

= (9.0 V - 0 V)/(4.5 A - 0 A)  

= 9.0 V/4.5 A

= 2.0 Ω

So, the resistance of R is 2.0 Ω

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