If you need output voltage (v2), phase shift (δφ) and angular frequency (ω) and you already have capacitance 1 (c1), capacitance 2 (c2), capacitance (c), capacitance (c), frequency (f), inductance 1 (l1), inductance 2 (l2), inductance (l), inductance (l), resistance (r), resistance (r), resistance (r), resistance (r), resistance 1 (r1), resistance 2 (r2), input voltage (v1) and atan, this calculator does the substitution for you. It suits a quick check, a homework answer you want to confirm, or any figure you need to sanity test.
What Is the Voltage Divider Calculator?
This voltage divider calculator is for the kind of problem where you know the physical quantities but not the number you need. It turns capacitance 1 (c1), capacitance 2 (c2), capacitance (c), capacitance (c), frequency (f), inductance 1 (l1), inductance 2 (l2), inductance (l), inductance (l), resistance (r), resistance (r), resistance (r), resistance (r), resistance 1 (r1), resistance 2 (r2), input voltage (v1) and atan into output voltage (v2), phase shift (δφ) and angular frequency (ω).
Physics calculations go wrong in predictable ways, usually through mixing units or dropping a digit. Work through the result one step at a time and check that the figures are the size you would expect at each stage.
How the Voltage Divider Physics Works
The relationship is applied step by step, and each step is a standard piece of physics rather than a single opaque formula. That means you can check the intermediate values against what the theory predicts, which is usually faster than checking only the final answer.
Keep every value in the same unit system throughout the calculation. Mixing metres and feet part way through is the single most common reason a correct formula gives a wrong answer.
Units, Assumptions and the Limits of the Model
The calculation assumes ideal conditions: no air resistance, no heat loss, and dimensions that do not change while you work. Those assumptions are reasonable for most classroom and engineering estimates, and unreasonable for anything more precise.
Where a value is a rate, it has to be quoted for the same period as everything else. A per-hour figure cannot be combined with a per-day figure without converting one of them first.
A Worked Example
Working through an example, with capacitance 1 (c1) set to 10, capacitance 2 (c2) set to 5, capacitance (c) set to 2, the calculator returns output voltage (v2) of 28.57143, and output voltage (v2) (voltage cc2) of 66.66667, and output voltage (v2) (voltage ll2) of 28.57143. Substitute your own figures and the same steps produce the same kind of answer.
Frequently Asked Questions
What do I need to work out output voltage (v2)?
Enter capacitance 1 (c1), capacitance 2 (c2), capacitance (c), capacitance (c), frequency (f), inductance 1 (l1), inductance 2 (l2), inductance (l), inductance (l), resistance (r), resistance (r), resistance (r), resistance (r), resistance 1 (r1), resistance 2 (r2), input voltage (v1) and atan. The calculator then works through the relationship and reports output voltage (v2), phase shift (δφ) and angular frequency (ω).
What does the voltage divider actually calculate?
It takes capacitance 1 (c1), capacitance 2 (c2), capacitance (c), capacitance (c), frequency (f), inductance 1 (l1), inductance 2 (l2), inductance (l), inductance (l), resistance (r), resistance (r), resistance (r), resistance (r), resistance 1 (r1), resistance 2 (r2), input voltage (v1) and atan and converts them into output voltage (v2), phase shift (δφ) and angular frequency (ω) using the standard relationship for this problem. Each step is applied in turn, so every output is traceable back to the numbers you typed in.
How should I enter capacitance 1 (c1)?
Use the value you actually have, in the unit shown next to the field. Enter every value in the same unit system. The calculator assumes the figures you supply are consistent, so it cannot correct a mistake that happens before the calculation starts.
Does anything you type get stored?
No. The whole calculation runs inside your browser, and nothing you enter is uploaded, logged or sent anywhere.
Can I use this for a quick estimate as well as a precise answer?
Yes. The calculator is built for quick checks, so round your inputs to a sensible number of significant figures and the result will be just as useful. If you need more precision, keep the same method and add digits to the inputs rather than adjusting the method itself.