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 3 circuit 3 circuit 2 circuit 2 circuit 1 circuit 1 circuit 4

Answer 1

To determine which circuit will have 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).

Let's calculate the current for each circuit:

1. **Circuit 1:**
\[
I_1 = \frac{20 \, \text{V}}{0.5 \, \Omega} = 40 \, \text{A}
\]

2. **Circuit 2:**
\[
I_2 = \frac{40 \, \text{V}}{0.5 \, \Omega} = 80 \, \text{A}
\]

3. **Circuit 3:**
\[
I_3 = \frac{40 \, \text{V}}{0.25 \, \Omega} = 160 \, \text{A}
\]

4. **Circuit 4:**
\[
I_4 = \frac{60 \, \text{V}}{0.25 \, \Omega} = 240 \, \text{A}
\]

Now let's compare the 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.