Mastering Physics Solutions: Exercise 17.32

Exercise 17.32

Part A = yes
Part B = The graph is a straight line where V = R * I. R is the slope and is linear. This is the definition of an ohmic resistor (Ohm’s law is V = IR).
Part C = 2.0 Ω
Part D = 18 V

Solutions Below:

The figure shows data on the dependence of the current through a resistor on the voltage across that resistor.

Part A

Is the resistor ohmic?

Since the slope of the graph is linear, V = IR and the resistor is ohmic.

yes

Part B

Explain your reasoning.

The graph is a straight line where V = R * I. R is the slope and is linear. This is the definition of an ohmic resistor (Ohm’s law is V = IR).

Part C

What is the value of its resistance?
Express your answer using two significant figures.

The resistance is just the slope of the graph. In this case, it’s 2.0

2.0 Ω

Part D

Use the data to predict what voltage would be needed to produce a 9.0 A current in the resistor.
Express your answer using two significant figures.

Since V = IR, and R is the slope (2.0 from Part C), V = 9.0 * 2.0 = 18 V

18 V

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