# Calculating Current Through Resistors in Loop Circuit

• Fire Slayer
In summary, the conversation discusses finding the current through each resistor in a circuit with three resistors in parallel and one in series, attached to a 15 volt cell. The person is having trouble finding the individual currents and asks for help. Suggestions are given to use the rules for series and parallel resistors and Kirchhoff's laws to solve the problem. Clarification is needed on the resistances and schematic of the circuit.
Fire Slayer

## Homework Statement

Find the current through each resistor using the rules for series and parallel resistors and kirchhoff's rules

there is a loop circut with three resistors in parallel, two on top and one on bottom, then one more in series outside of it. It's all attached to a 15 volt cell

## The Attempt at a Solution

I can't figure out how to find the different currents. Using the rules for series I can find a current through the whole thing, but not how much is running through each resistor. Help?

What are the resistances of each resistor? Also, your word schematic of the circuit is unclear. If you combine all parallel resistors into equivalent single resistors so that you have a bunch of series resistors, you know by kirchhoffs current law that the current flowing through each of these equivalent resistances is the same. Use the voltage law to find the current through each parallel resistor.

I would suggest using Kirchhoff's laws to solve this problem. Kirchhoff's first law, also known as the law of conservation of charge, states that the total current entering a junction must equal the total current leaving the junction. This means that the current through each resistor in a parallel circuit will be equal to the total current through the circuit.

Next, you can use Kirchhoff's second law, also known as the loop rule, which states that the sum of the voltage drops around a closed loop must equal the voltage supplied. In this case, the loop includes the 15 volt cell and the resistors in series.

By applying these laws, you can create a system of equations to solve for the currents through each resistor. The current through the resistors in parallel will be equal, and the current through the resistor in series will be the difference between the total current and the current through the parallel resistors.

I would also recommend using the equations for calculating total resistance in a parallel and series circuit to help with solving the problem. Once you have found the total resistance and the total current, you can use Ohm's law (V=IR) to calculate the current through each resistor.

I hope this helps and good luck with your calculations! Remember to always double check your work and make sure your units are consistent.

## 1. How do I calculate the total resistance in a loop circuit?

To calculate the total resistance in a loop circuit, you need to add up the individual resistances in the circuit. If the resistances are in series, simply add them together. If they are in parallel, you can use the formula R = 1/(1/R1 + 1/R2 + ... + 1/Rn).

## 2. What is the formula for calculating current in a loop circuit?

The formula for calculating current in a loop circuit is Ohm's Law, which states that current (I) is equal to voltage (V) divided by resistance (R), or I = V/R. You can also use Kirchhoff's Current Law, which states that the sum of all currents entering and leaving a junction in a circuit must be equal to zero.

## 3. How do I determine the direction of current flow in a loop circuit?

The direction of current flow in a loop circuit is determined by the direction of the voltage source. Current always flows from the positive terminal of a voltage source to the negative terminal.

## 4. Can I use Kirchhoff's Laws to calculate current in a complex loop circuit?

Yes, Kirchhoff's Laws can be used to calculate current in any type of loop circuit, whether it is simple or complex. However, for more complicated circuits, it may be easier to break it down into smaller parts and use the laws for each individual part before combining them to find the total current.

## 5. How does the resistance of a resistor affect the current flow in a loop circuit?

The resistance of a resistor is directly proportional to the current flow in a loop circuit. This means that as the resistance increases, the current decreases, and vice versa. This relationship is described by Ohm's Law, where the greater the resistance, the smaller the current will be for a given voltage.

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