Exercises: Ohm's Law

Work through each section in order. Show your work for all calculation problems.

Grade 11·20 problems·~30 min·OpenStax Physics (High School)·section·sec-19-1

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Recall / Warm-Up

Electric current $I$ is defined as:

The rate of charge flow: $I = \Delta Q / \Delta t$

The energy transferred per unit charge: $I = W / Q$

The opposition to charge flow through a material.

The potential difference between two points: $I = V_A - V_B$

Conventional current in a circuit flows in which direction?

From the positive terminal to the negative terminal (from high to low potential).

From the negative terminal to the positive terminal (from low to high potential).

In the same direction as electron flow.

Conventional current has no defined direction — it depends on the circuit.

Which statement about electrical resistance is correct?

Resistance is the opposition to current flow; it converts electrical energy to heat.

Resistance drives current — higher resistance means more current.

Resistance is the same as voltage.

Resistance only exists in insulators, not in conductors.

A charge of $\Delta Q = 15\ \text{C}$ flows through a wire in $\Delta t = 5.0\ \text{s}$ . What is the current in the wire?

A 9.0 V battery is connected to a resistor of $R = 150\ \Omega$ . What current flows through the resistor?

A current of $I = 2.5\ \text{A}$ flows through a resistor, and the voltage across it is $V = 15\ \text{V}$ . What is the resistance of the resistor?

A resistor has $R = 20\ \Omega$ and carries a current of $I = 0.50\ \text{A}$ . What voltage appears across it?

$10\ \text{V}$

$0.025\ \text{V}$

$40\ \text{V}$

$2.5\ \text{V}$

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