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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 4
circuit 4

circuit 1
circuit 1

circuit 2
circuit 2

circuit 3
circuit 3
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1 answer

To determine which circuit will have the greatest electric current, we can use Ohm's Law, which states that current (I) is equal to voltage (V) divided by resistance (R). This can be expressed with the formula:

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

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 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 with a current of 240 A.