resistors of 30 ohms and 60 ohms are connected in parallel and joined in series to a 10 ohm resistor. the circuit voltage is 180 volts
I need to find
1)the voltage of the parallel circuit
2)the resistance of the complete circuit
3)the voltage across the 10 ohm resistor
4) the voltage across the parallel circuit
5) the current through the 10 ohm resistor
6) the current through the 30 ohm resistor
7) the current through the 60 ohm resistor
Can you please help with the formulas and how to set up the problem?
Thank you
You need to analyze, not formulas.
First, find the equivalent resistance of the parallelbranch.
Then, find total resistance of the circuit.
Then, find total current (voltage/totalresistance
Now, knowing total current, voltage on the parallel branch is equivalent parallelresistance x current.
then the current in the 30 ohm is voltage on parallel branch divided by 30
I will be happy to critique your thinking.
Hello again
would you please check this:
1) 20 V
2) 30 ohms
3) 60 V
4) 180 V
5) 6 A
6) 4 A
7) 2 A
1wrong
2 right
3 right
4 I don't understand how this is different than 1.
5 wrong it is asking for voltage (6*10)
6 correct
7 correct
Let's go step by step through the calculations:
1) To find the voltage of the parallel circuit, we first need to find the total resistance of the parallel branch. The formula to calculate the total resistance of two resistors in parallel is:
1/Req = 1/R1 + 1/R2
Let's use this formula to find Req:
1/Req = 1/30 + 1/60
1/Req = 2/60 + 1/60
1/Req = 3/60
Req = 60/3
Req = 20 ohms
Now, to find the voltage across the parallel circuit, we multiply the total resistance by the total current (which we'll find later). So the voltage of the parallel circuit is:
Voltage of parallel circuit = Req * I
2) The resistance of the complete circuit is the sum of the resistances in series. So we add the total resistance of the parallel branch (20 ohms) to the resistance of the 10 ohm resistor:
Resistance of complete circuit = 20 + 10
Resistance of complete circuit = 30 ohms
3) The voltage across the 10 ohm resistor is equal to the total current multiplied by the resistance of the 10 ohm resistor. We'll find the total current later, so we'll come back to this.
4) The voltage across the parallel circuit is the same as the voltage of the power supply, which is given as 180 volts.
Voltage across parallel circuit = 180 volts
5) To find the current through the 10 ohm resistor, we use Ohm's Law. Ohm's Law states that current (I) is equal to voltage (V) divided by resistance (R):
I = V / R
I = 180 / 30
I = 6 Amps (A)
6) To find the current through the 30 ohm resistor, we can use the current in the parallel branch. Since the parallel branch and the 30 ohm resistor are in series, they share the same current.
Current through 30 ohm resistor = 6 Amps (A)
7) Similar to the 30 ohm resistor, the 60 ohm resistor is also in series with the parallel branch, so it also shares the same current.
Current through 60 ohm resistor = 6 Amps (A)
So, let's recheck the answers:
1) Voltage of the parallel circuit = 20 volts (V)
2) Resistance of the complete circuit = 30 ohms (Ω)
3) Voltage across the 10 ohm resistor = 60 volts (V)
4) Voltage across the parallel circuit = 180 volts (V)
5) Current through the 10 ohm resistor = 6 Amps (A)
6) Current through the 30 ohm resistor = 6 Amps (A)
7) Current through the 60 ohm resistor = 6 Amps (A)
Your answers are correct! Well done. Let me know if you have any more questions or need further explanations.