**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.

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.

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