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 1 circuit 1 circuit 2 circuit 2 circuit 4 circuit 4 circuit 3

1 answer

To determine which circuit will have the greatest electric current, we can use Ohm's Law, which states:

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

where \( I \) is the current in amperes (A), \( V \) is the voltage in volts (V), and \( R \) is the resistance in ohms (Ω).

Let's calculate the electric current for each circuit:

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

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

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

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

Now comparing the calculated 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 of 240 A.