Parallel ESR Formula:
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Definition: This calculator computes the equivalent series resistance (ESR) of capacitors connected in parallel.
Purpose: It helps electronics engineers and hobbyists determine the combined ESR when using multiple capacitors in parallel configurations.
The calculator uses the formula:
Where:
Explanation: The total ESR is calculated by taking the reciprocal of the sum of reciprocals of individual ESR values.
Details: Proper ESR calculation ensures accurate power loss estimation, thermal management, and stability in capacitor banks.
Tips: Enter at least two ESR values (required) and optionally a third. All values must be > 0. Results are shown with 6 decimal places for precision.
Q1: Why does parallel connection reduce total ESR?
A: Current divides among parallel paths, effectively reducing the overall resistance similar to parallel resistors.
Q2: What's a typical ESR range for capacitors?
A: ESR varies widely: electrolytics (0.01-1Ω), ceramics (0.001-0.1Ω), tantalums (0.01-0.5Ω).
Q3: Does capacitor value affect ESR?
A: Generally, higher capacitance values within the same family tend to have lower ESR.
Q4: When would I need this calculation?
A: When designing power supplies, decoupling networks, or any circuit where low ESR is critical.
Q5: How does temperature affect the result?
A: ESR typically increases at temperature extremes - consider derating for critical applications.