Question

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 2
circuit 2

circuit 1
circuit 1

circuit 4
circuit 4

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

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

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

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

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.