Question

Circuit

1

Resistance (ohms)

Voltage (V)

0.5

20

0.5

40

DOLS

3

4

0.25

40

0.25

60

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Which circuit will have the greatest electric current?

(1 point)

circuit 4

Ocircuit 3

circuit 1

circuit 2

2

Answer 1

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

Let's calculate the current for each circuit:

1. **Circuit 1**:
- Voltage = 20 V, Resistance = 0.5 Ω
- Current: \( I = \frac{20 V}{0.5 \Omega} = 40 A \)

2. **Circuit 2**:
- Voltage = 40 V, Resistance = 0.5 Ω
- Current: \( I = \frac{40 V}{0.5 \Omega} = 80 A \)

3. **Circuit 3**:
- Voltage = 4 V, Resistance = 3 Ω
- Current: \( I = \frac{4 V}{3 \Omega} \approx 1.33 A \)

4. **Circuit 4**:
- Voltage = 40 V, Resistance = 0.25 Ω
- Current: \( I = \frac{40 V}{0.25 \Omega} = 160 A \)

Now, comparing the currents:

- Circuit 1: 40 A
- Circuit 2: 80 A
- Circuit 3: 1.33 A
- Circuit 4: 160 A

**Conclusion**: Circuit 4 has the greatest electric current at 160 A.