Question

Use the information in the table about four different electric circuits to answer the question. Circuit Resistance (ohms) Voltage (V) 1 0.5 20 2 0.5 40 3 0.25 40 4 0.25 60 Which circuit will have the greatest electric current? (1 point) Responses circuit 4 circuit 4 circuit 1 circuit 1 circuit 2 circuit 2 circuit 3

Answer 1

To determine which circuit has the greatest electric current, we can use Ohm's Law, which states:

\[
I = \frac{V}{R}
\]

where \( I \) is the current (in amperes), \( V \) is the voltage (in volts), and \( R \) is the resistance (in ohms).

Now, let's calculate the current for each circuit:

1. **Circuit 1**:
- Resistance \( R = 0.5 \, \text{ohms} \)
- Voltage \( V = 20 \, \text{V} \)
- Current \( I_1 = \frac{20}{0.5} = 40 \, \text{A} \)

2. **Circuit 2**:
- Resistance \( R = 0.5 \, \text{ohms} \)
- Voltage \( V = 40 \, \text{V} \)
- Current \( I_2 = \frac{40}{0.5} = 80 \, \text{A} \)

3. **Circuit 3**:
- Resistance \( R = 0.25 \, \text{ohms} \)
- Voltage \( V = 40 \, \text{V} \)
- Current \( I_3 = \frac{40}{0.25} = 160 \, \text{A} \)

4. **Circuit 4**:
- Resistance \( R = 0.25 \, \text{ohms} \)
- Voltage \( V = 60 \, \text{V} \)
- Current \( I_4 = \frac{60}{0.25} = 240 \, \text{A} \)

Now, comparing the calculated currents:

- Circuit 1: 40 A
- Circuit 2: 80 A
- Circuit 3: 160 A
- Circuit 4: 240 A

The circuit with the greatest electric current is **Circuit 4**, with a current of 240 A.