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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 3

circuit 2

circuit 4

circuit 1

1 answer

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.

Let's calculate the current for each circuit:

  1. Circuit 1: \[ I = \frac{20 \text{ V}}{0.5 \text{ ohms}} = 40 \text{ A} \]

  2. Circuit 2: \[ I = \frac{40 \text{ V}}{0.5 \text{ ohms}} = 80 \text{ A} \]

  3. Circuit 3: \[ I = \frac{40 \text{ V}}{0.25 \text{ ohms}} = 160 \text{ A} \]

  4. Circuit 4: \[ I = \frac{60 \text{ V}}{0.25 \text{ ohms}} = 240 \text{ A} \]

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.