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 mind checking this:
1) 20 V
2) 30 ohms
3) 60 V
4) 180 V
5) 6 A
6) 4 A
7) 2 A
E = 180 Volts.
R1 = 30 Ohms.
R2 = 60 Ohms.
R3 = 10 Ohms.
Req. = (R1*R2)/(R1+H2) = 20 Ohms.
Rt = Req. + R3 = 20 + 10 = 30 Ohms = Total resistance.
It = E/Rt = 180/30 = 6A = Total current.
V1 = V2 = It*Req = 6 * 20 = 120 Volts.
V3 = It*R3 = 6 * 10 = 60 Volts.
I1 = V1/R1 = 120/30 = 4A.
I2 = V2/R2 = 120/60 = 2A.
I3 = It = 6A.
Sure! To solve this problem, we can use Ohm's Law and the rules for calculating resistances in series and parallel circuits.
First, let's calculate the equivalent resistance for the resistors connected in parallel. The formula to find the equivalent resistance for resistors connected in parallel is:
1/R = 1/R1 + 1/R2 + ...
So, for the resistors with values of 30 ohms and 60 ohms connected in parallel, we have:
1/R_parallel = 1/30 + 1/60
To calculate the voltage of the parallel circuit, we can use Ohm's Law: V = I * R. However, since the current is the same in parallel circuits, we can assume that the voltage across each resistor in the parallel circuit is the same.
Now, let's calculate the equivalent resistance for the entire circuit by adding the resistance in the series connection. The formula to find the equivalent resistance for resistors connected in series is:
R_total = R1 + R2 + ...
So, for our circuit with resistors of 30 ohms and 60 ohms in parallel joined in series with a 10 ohm resistor, we have:
R_total = R_parallel + 10
To find the voltage across the 10 ohm resistor and the parallel circuit, we can use Ohm's Law again once we know the current flowing through the circuit.
Now, let's calculate the current through the 10 ohm resistor, 30 ohm resistor, and 60 ohm resistor. We can use Ohm's Law again:
I = V / R
Given that the circuit voltage is 180 volts, we can use the calculated resistance values to find the currents flowing through each resistor.
Let's go through each step to calculate the values:
1) To find the voltage of the parallel circuit:
- Calculate the equivalent resistance for the parallel connection.
- Use Ohm's Law, V = I * R, and assume the current is the same in parallel circuits.
2) To find the resistance of the complete circuit:
- Calculate the equivalent resistance for the entire circuit, taking into account the resistors in parallel and series.
3) To find the voltage across the 10 ohm resistor:
- Use Ohm's Law, V = I * R, with the current flowing through the circuit.
4) To find the voltage across the parallel circuit:
- Since the voltage across parallel resistors is the same, use the voltage calculated for the parallel circuit.
5) To find the current through the 10 ohm resistor:
- Use Ohm's Law, I = V / R, with the voltage across the 10 ohm resistor.
6) To find the current through the 30 ohm resistor:
- Use Ohm's Law, I = V / R, with the voltage across the parallel circuit.
7) To find the current through the 60 ohm resistor:
- Use Ohm's Law, I = V / R, with the voltage across the parallel circuit.
By following these steps and using the appropriate formulas, you can calculate all the values you need.