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Circut - 1 - 2 - 3 - 4

Resistance - 0.5 - 0.5 - 0.25 - 0.25
Voltage - 20 - 40 - 40 - 60

Which circut has the greatest electric current

1 answer

To find the electric current in each circuit, 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:

    • Resistance \( R_1 = 0.5 \) ohms
    • Voltage \( V_1 = 20 \) volts
    • Current \( I_1 = \frac{20}{0.5} = 40 \) amperes

  2. Circuit 2:

    • Resistance \( R_2 = 0.5 \) ohms
    • Voltage \( V_2 = 40 \) volts
    • Current \( I_2 = \frac{40}{0.5} = 80 \) amperes

  3. Circuit 3:

    • Resistance \( R_3 = 0.25 \) ohms
    • Voltage \( V_3 = 40 \) volts
    • Current \( I_3 = \frac{40}{0.25} = 160 \) amperes

  4. Circuit 4:

    • Resistance \( R_4 = 0.25 \) ohms
    • Voltage \( V_4 = 60 \) volts
    • Current \( I_4 = \frac{60}{0.25} = 240 \) amperes

Now let's compare the currents:

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

Conclusion: Circuit 4 has the greatest electric current, which is 240 amperes.