“A resistor whose each terminals are linked to the same node is known as the parallel resistance”
In an electrical community containing parallel resistors, the current of the complete circuit could be equal to the sum of all of the currents flowing through each single resistor.
How to find the total resistance in a parallel circuit with the following resistors connected in parallel?
To calculate the equivalent resistance (\(R_{eq}\)) in a parallel circuit, we use the formula:
\[ \frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \frac{1}{R_4} \]
Step 1: Substitute the given resistor values:
\[ \frac{1}{R_{eq}} = \frac{1}{25} + \frac{1}{52} + \frac{1}{785} + \frac{1}{65} \]
Step 2: Calculate each term:
\[ \frac{1}{R_{eq}} = 0.04 + 0.0192 + 0.00127 + 0.0154 \]
Step 3: Add the terms:
\[ \frac{1}{R_{eq}} = 0.07587 \]
Step 4: Find the reciprocal to calculate \(R_{eq}\):
\[ R_{eq} = \frac{1}{0.07587} \approx 13.18 \, \text{kΩ} \]
Final Answer: The total resistance of the parallel circuit is approximately 13.18 kΩ.
The addition of extra resistors in an electrical network introduces new pathways for the currents to flow. that is why the addition of resistors is at once proportional to the increment in charge go with the flow. This increment within the price also can be determined the usage of this parallel circuit calculator.
Two resistances may be taken into consideration in parallel connection if nodes at each ends of the resistors are the equal. In one of these case, the resistances R_1 and R_2 will be parallel such that (R_1||R_2). And if there may be any other total resistance R_3, then it'll be in series with the parallel aggregate of those two resistors. if your intention comes up with the on the spot calculations of this equal resistor, the usage of this parallel resistor calculator is the best choice to cross by.
