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### 1003-A: Ohm's Law

• Topic Cluster: Electric Circuits
• Topic: DC Circuit Math 1: Batteries and Resistors
• Objective: Solve Ohm's law for either resistance, current, or voltage.
• Content: Voltage is equal to current times resistance.
• Level: 1

#### BACK to Ladder DC Circuit Math 1: Batteries and Resistors

$$V = I R$$

 Symbol Quantity SI Unit $$V$$ Voltage Volts (V) $$I$$ Current Amperes (A) $$R$$ Resistance Ohms $$\Omega$$
##### Notes:
• The symbol for current is $$I$$, NOT C! This is because current used to be called "intensity of current."
• The symbol for an Ohm, the SI unit of resistance, is ($$\Omega$$).

### Questions!

1. I hook up a battery with a voltage of 10 volts to a resistance of 5 Ohms. What is the current?
2. I hook up a battery with a voltage of 30 volts to a resistance of 6 Ohms. What is the current?
3. When I hook up a battery with a voltage of 12 volts, I get 3 amps of current. What is the resistance?
4. I have 5 amps of current going through a 10 Ohm resistor. What is the voltage of my battery?
5. I have 3 amps of current going through a 5 Ohm resistor. What is the voltage of my circuit?
6. I hook up a 12 volt battery to a 36 Ohm resistor. What is the current of my circuit?
7. Which electric circuit quantity is not represented by the first letter of its name?
8. Which electric circuit unit is represented by a Greek letter? Which letter?

Each row of the table below contains two numbers given and one number still unknown. Fill in the unknown number so each row satisfies the equation $$V = IR.$$

 Voltage (V) Current (I) Resistance ($$\Omega$$) 24 4 15 5 24 12 20 4 2 9 3 12 10 20

#### BACK to Ladder DC Circuit Math 1: Batteries and Resistors

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