A simple electric circuit has the following properties:
resistance: 12 ohms
voltage: 96 V
Which circuit below has the same current?
(1 point)
resistance: 4 ohms
voltage: 96 V
resistance: 4 ohms, , voltage: 96 V
resistance: 12 ohms
voltage: 24 V
resistance: 12 ohms, , voltage: 24 V
resistance: 6 ohms
voltage: 48 V
resistance: 6 ohms, , voltage: 48 V
resistance: 8 ohms
voltage: 108 V
please help!!
resistance: 6 ohms
voltage: 48 V
current = voltage / resistance
calculate the given current , then find one that is the same
To determine which circuit has the same current as the given electric circuit, we need to apply Ohm's law. Ohm's law states that the current (I) in a circuit is equal to the voltage (V) divided by the resistance (R).
For the original circuit with a resistance of 12 ohms and a voltage of 96 V, the current (I) can be calculated as:
I = V / R
I = 96 V / 12 ohms
I = 8 A
Now, let's check each of the given circuits to see which one has the same current:
1) resistance: 4 ohms, voltage: 96 V
I = 96 V / 4 ohms
I = 24 A (not the same current)
2) resistance: 12 ohms, voltage: 24 V
I = 24 V / 12 ohms
I = 2 A (not the same current)
3) resistance: 6 ohms, voltage: 48 V
I = 48 V / 6 ohms
I = 8 A (same current)
4) resistance: 8 ohms, voltage: 108 V
I = 108 V / 8 ohms
I = 13.5 A (not the same current)
So, the circuit that has the same current as the given circuit is:
resistance: 6 ohms, voltage: 48 V
I hope this helps!
To determine which circuit has the same current as the given circuit, we need to apply Ohm's Law, which states that the current in a circuit is equal to the voltage divided by the resistance.
In the given circuit, the voltage is 96 V, and the resistance is 12 ohms.
Using Ohm's Law, we can calculate the current as follows: Current = Voltage / Resistance
Current = 96 V / 12 ohms = 8 A (Amperes)
Now, let's consider each of the given circuits and calculate their respective currents using Ohm's Law:
1) resistance: 4 ohms, voltage: 96 V
Current = 96 V / 4 ohms = 24 A
2) resistance: 12 ohms, voltage: 24 V
Current = 24 V / 12 ohms = 2 A
3) resistance: 6 ohms, voltage: 48 V
Current = 48 V / 6 ohms = 8 A
4) resistance: 8 ohms, voltage: 108 V
Current = 108 V / 8 ohms = 13.5 A
Comparing the calculated currents with the original circuit's current of 8 A, we can see that only option 3) has the same current. Therefore, the correct answer is:
resistance: 6 ohms, voltage: 48 V
Calculating the current = 48 V / 6 ohms = 8 A
So, the circuit with a resistance of 6 ohms and a voltage of 48 V will have the same current as the given circuit.