Electrical Energy Properties Quick Check
3 of 43 of 4 Items
Question
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 2
circuit 1
circuit 4
circuit 3
It is Circuit 4
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), or I = V/R.
Let's calculate the currents for each circuit.
For circuit 1:
I = 20V / 0.5Ω = 40A
For circuit 2:
I = 40V / 0.5Ω = 80A
For circuit 3:
I = 40V / 0.25Ω = 160A
For circuit 4:
I = 60V / 0.25Ω = 240A
Therefore, circuit 4 will have the greatest electric current.
To determine which circuit will have the greatest electric current, we need to use Ohm's Law. Ohm's Law states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R).
The formula can be written as: I = V / R.
Let's calculate the current for each circuit:
For circuit 1:
Resistance (R) = 0.5 ohms
Voltage (V) = 20 V
Using Ohm's Law: I = V / R = 20 / 0.5 = 40 Amperes
For circuit 2:
Resistance (R) = 0.5 ohms
Voltage (V) = 40 V
Using Ohm's Law: I = V / R = 40 / 0.5 = 80 Amperes
For circuit 3:
Resistance (R) = 0.25 ohms
Voltage (V) = 40 V
Using Ohm's Law: I = V / R = 40 / 0.25 = 160 Amperes
For circuit 4:
Resistance (R) = 0.25 ohms
Voltage (V) = 60 V
Using Ohm's Law: I = V / R = 60 / 0.25 = 240 Amperes
From the calculations, we see that circuit 4 will have the greatest electric current with 240 Amperes. Therefore, the correct response is "circuit 4."