Use the information in the table about four different electric circuits to answer the question.

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)

Which circuit will have the greatest electric current?

(1 point)

Ocircuit 2

Ocircuit 4

circuit 1

<

O 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, \( V \) is the voltage, and \( R \) is the resistance.

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

1. Circuit 1:

   • Resistance = 0.5 ohms
   • Voltage = 20 V
   • Current \( I_1 = \frac{20}{0.5} = 40 \) A

2. Circuit 2:

   • Resistance = 0.5 ohms
   • Voltage = 40 V
   • Current \( I_2 = \frac{40}{0.5} = 80 \) A

3. Circuit 3:

   • Resistance = 0.25 ohms
   • Voltage = 40 V
   • Current \( I_3 = \frac{40}{0.25} = 160 \) A

4. Circuit 4:

   • Resistance = 0.25 ohms
   • Voltage = 60 V
   • Current \( I_4 = \frac{60}{0.25} = 240 \) A

Now we can 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.