How Do You Verify Calculations in a Parallel Circuit Problem?

In summary, solving a parallel circuit involves using Ohm's Law and Kirchhoff's Laws. The total resistance can be calculated by adding the reciprocals of each individual resistance, and the current in each branch can be calculated using Ohm's Law. The total current in the circuit can then be determined using Kirchhoff's Current Law. A parallel circuit differs from a series circuit in that the current is divided among multiple branches and the total resistance is less than the smallest individual resistance. The purpose of using a parallel circuit is to allow for greater flexibility and control, as well as the ability for individual components to function independently. The total power in a parallel circuit can be calculated by summing the individual powers of each component, or by
  • #1
Tedh
1
0

Homework Statement

Circuit.jpg


Here is a crappy sketch of it

Homework Equations


The Attempt at a Solution

I have already discovered

Vt=50v
Rt=117.27Ω
It=0.42A
Pt-42v

I'm not completely sure if its correct but, that's as far as i can get. The rest of it just confuses me.
 
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  • #3


Hello there,

Thank you for sharing your attempt at solving the parallel circuit. It looks like you have correctly calculated the total voltage (Vt), total resistance (Rt), total current (It), and total power (Pt). These are important parameters to know in a parallel circuit.

To make sure your solution is correct, you can use the following equations:

- The total resistance (Rt) is equal to the sum of the individual resistances (R1, R2, R3) in a parallel circuit: 1/Rt = 1/R1 + 1/R2 + 1/R3

- The total current (It) is equal to the sum of the individual currents (I1, I2, I3) in a parallel circuit: It = I1 + I2 + I3

- The total power (Pt) is equal to the sum of the individual powers (P1, P2, P3) in a parallel circuit: Pt = P1 + P2 + P3

If your values for Rt, It, and Pt match these equations, then your solution is correct. Additionally, you can also use Kirchhoff's Current Law (KCL) to check your solution. KCL states that the sum of the currents entering a node (or junction) must equal the sum of the currents leaving that node. In a parallel circuit, this means that the total current entering the node (It) must equal the sum of the individual currents leaving the node (I1, I2, I3).

I hope this helps and good luck with your homework!

Best,
 

FAQ: How Do You Verify Calculations in a Parallel Circuit Problem?

How do you solve a parallel circuit?

Solving a parallel circuit involves using Ohm's Law and Kirchhoff's Laws. First, calculate the total resistance by adding the reciprocals of each individual resistance and taking the reciprocal of the sum. Then, use Ohm's Law (V=IR) to calculate the current in each branch of the circuit. Finally, use Kirchhoff's Current Law to determine the total current in the circuit.

What is the difference between a series and parallel circuit?

In a series circuit, all components are connected in a single loop, so the current is the same throughout the circuit. In a parallel circuit, the components are connected in multiple branches, so the current is divided among each branch. Additionally, in a series circuit, the total resistance is equal to the sum of the individual resistances, while in a parallel circuit, the total resistance is less than the smallest individual resistance.

How do you calculate the total current in a parallel circuit?

To calculate the total current in a parallel circuit, use Kirchhoff's Current Law, which states that the sum of the currents entering a node (junction) must equal the sum of the currents leaving the node. This means that the total current entering the circuit must equal the total current leaving the circuit.

What is the purpose of using a parallel circuit?

A parallel circuit allows for the individual components to have their own separate branches, which allows for greater flexibility and control in the circuit. Additionally, if one component were to fail, the other components can still function independently.

How do you calculate the total power in a parallel circuit?

The total power in a parallel circuit can be calculated by summing the individual powers of each component. This can be done by using the formula P=IV, where I is the current in each branch and V is the voltage across each component. Alternatively, you can use the formula P=I^2R, where I is the total current in the circuit and R is the total resistance.

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