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Circuit

1
2
3
4
Resistance (ohms)
0.5
0.5
0.25
0.25
Voltage (V)
20
40
40
60

Which circuit will have the greatest electric current?

(1 point)

circuit 4

circuit 2

circuit 3

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 (in amperes), \( V \) is the voltage (in volts), and \( R \) is the resistance (in ohms).

Let's calculate the current for each circuit:

  1. Circuit 1:

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

  2. Circuit 2:

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

  3. Circuit 3:

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

  4. Circuit 4:

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

Now, let's summarize the results:

  • Circuit 1: 40 A
  • Circuit 2: 80 A
  • Circuit 3: 160 A
  • Circuit 4: 240 A

Conclusion: Circuit 4 will have the greatest electric current at 240 A.