how to calculate total resistance in a series parallel circuit

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Answer 1

To calculate total resistance in a series-parallel circuit, you can follow these steps:

In a series circuit, all components are connected end-to-end to form a single path for current flow. In a parallel circuit, all components are connected across each other with exactly two electrically common nodes with the same voltage across each component.

Step 1: Identify the series and parallel parts of the circuit. A series circuit is one where all components are connected in a single path so that the current flows through them in sequence. A parallel circuit is one where the components are connected in branches, and the current can flow through them in multiple paths.

Step 2: Calculate the total resistance of the series circuit by adding up the individual resistances. The formula for calculating total resistance in a series circuit is: RT = R1 + R2 + R3 + ... where RT is the total resistance and R1, R2, R3, etc. are the individual resistances.

Step 3: Calculate the total resistance of the parallel circuit by using the formula:1/RT = 1/R1 + 1/R2 + 1/R3 + ... where RT is the total resistance and R1, R2, R3, etc. are the individual resistances .

Step 4: Calculate the total resistance of the circuit by combining the results from steps 2 and 3. If there are multiple parallel sections, you will need to calculate the total resistance for each section and then add them together .

Example: Let's say you have a circuit with three resistors in series (R1 = 10 ohms, R2 = 15 ohms, R3 = 20 ohms) and two resistors in parallel (R4 = 30 ohms, R5 = 40 ohms).

The total resistance of the series section would be: RT(series) = R1 + R2 + R3 = 10 + 15 + 20 = 45 ohms The total resistance of the parallel section would be:1/RT(parallel) = 1/R4 + 1/R5 = 1/30 + 1/40 = 0.0833RT(parallel) = 1/0.0833 = 12 ohms The total resistance of the circuit would be: RT = RT(series) + RT(parallel) = 45 + 12 = 57 ohms Therefore, the total resistance of the circuit is 57 ohms.

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Related Questions

what is the symbiotic relationship between acacia tree and ants

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The symbiotic relationship between acacia trees and ants is mutualistic, where the ants defend the tree from herbivores, while the tree provides shelter and food resources for the ants.

The symbiotic relationship between acacia trees and ants is a classic example of mutualism. Acacia trees provide shelter and food resources in the form of nectar and protein-rich Beltian bodies for the ants, which are usually species of ants in the genus Pseudomyrmex or Crematogaster. In return, the ants defend the acacia tree against herbivores and competing plants.

The ants aggressively attack any herbivores or animals that attempt to feed on the acacia leaves, effectively protecting the tree from potential damage. They also clear the surrounding area of vegetation, preventing other plants from competing with the acacia for sunlight and nutrients. This mutually beneficial relationship helps both the ants and acacia trees to thrive in their respective environments.

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