Question

se 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?

Answer 1

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

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

where:
- \( I \) is the electric current (in amperes),
- \( V \) is the voltage (in volts),
- \( R \) 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, comparing the currents calculated:

- 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**.