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The voltage drop Vab across each of resistors Aand B was measured as a function of the current I in the resistor.
The results are shown in the table:

Resistor A


Resistor B

Resistor A


a) For each resistor, graph Vab as a function of I and graph theresistance R= Vab>Ias a function of I. (b) Does resistor A obeyOhm鈥檚 law? Explain. (c) Does resistor B obey Ohm鈥檚 law? Explain.(d) What is the power dissipated in A if it is connected to a 4.00-Vbattery that has negligible internal resistance? (e) What is thepower dissipated in B if it is connected to the battery?

Short Answer

Expert verified
  1. Graph
  2. Resistor A does not obey ohm鈥檚 law
  3. Resistor B obeys ohm鈥檚 law
  4. Power dissipated on the battery A isPA=9.40W
  5. Power dissipated on the battery B isPB=4.12W

Step by step solution

01

Important Concepts

Ohm鈥檚 law states that the voltage across a conductor is directly proportional to the current flowing through it, provided all physical conditions and temperatures remain constant

V=IR

According to Kirchhoff鈥檚 Lawthe sum of the voltages around the closed loop is equal to null.

V=0

02

Plot graph

Use Ohm鈥檚 law to get resistance value of resistors A and B

R=VI

We get

03

Step 3:Understand the graph

Resistor A does not obey Ohm鈥檚 law because ohm鈥檚 law states that the resistance remains constant which is not the case here and the V-I graph is not a straight line

Resistor B Obey Ohm鈥檚 law because Ohm鈥檚 law states that the resistance remains constant which is the case here and the V-I graph is a straight line

04

Step 4:Power Dissipated

Power dissipated is given byorP=VIorP=V2R

Where Vis the voltage drop across and is the current through the resistor and R is the resistance of the resistor.

For resistor A,

It is connected to battery ofV=40V and the currentI=2.35A

P=2.35A4.00VP=9.40W

For resistor B,

It is connected to battery of V=40Vand resistance is R=3.88

P=4.0V23.88P=4.12W

Power dissipated arePower dissipated on the battery A isPA=9.40W

Power dissipated on the battery B isPB=4.12W

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