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Complex Number Calculator Widget for Your Website

For electrical engineering courses, A level Further Maths pages and circuit tutorials: a complex number calculator that takes i or j and phasors, and solves series and parallel AC circuits.

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What your readers can do with it

Complex numbers turn up in two very different classrooms. Maths students meet them as a + bi, polar form and De Moivre's theorem. Electrical students meet them as phasors and impedances written with j and an angle. The complex number calculator speaks both languages:

Where it fits

On a circuits course page, embed it beside an RLC example so students change one component and watch the power factor move. On a maths page about the argument of a complex number, it shows why arctan(b/a) alone gets the quadrant wrong: the working adds or subtracts 180° and says why.

Suggested size

The default frame is 1,180 px high and up to 960 px wide, which fits the first tab with its results, working and diagram. The AC circuit tab is longer, about 2,030 px with three components at that width, so for a circuits page set the height to about 1,400 px and let the rest scroll inside the frame. On a phone the first tab is about 1,890 px tall.

Open it on an RLC circuit

This link opens the AC tab with a 230 V, 50 Hz source driving a 40 Ω resistor, a 200 mH inductor and a 100 µF capacitor in series:

https://widemath.com/embed/complex-number-calculator/?tab=ac&f=50&v=230&va=0&conn=series&p=R40,L200mH,C100uF

Open it in a new tab

The widget gives a total impedance of 40 + j31.000864 Ω, or 50.606853∠37.776458° Ω, a current of 4.544839 A lagging by 37.78°, a real power of 826.22 W and a power factor of 0.790 lagging. It also reports the LC resonance at 35.59 Hz. For the first tab, ?z= takes an expression, such as ?z=root(8i,3) for the three cube roots of 8i.

Add it in three steps

  1. Load the circuit if you want it, raise the height for the AC tab, and press Copy embed code.
  2. Paste the code into an HTML block on your course or blog page.
  3. Ask one question under it, such as "Which component would you change to bring the power factor to 1?"

Frequently asked questions

Can readers type j instead of i?

Yes. Both work, and when a reader types j the answers are written with j too, which is what electrical students expect.

Does it handle phasors with an angle?

Yes. Use the ∠ symbol or the less-than sign, as in 10∠30 + 5∠-45. The Degrees and Radians switch sets the unit of every angle typed and shown.

What does the AC tab assume?

Ideal components in sinusoidal steady state. The source can be given as RMS or peak, and the frequency in Hz or rad/s.

More calculator widgets

Want the explanations and worked examples as well? They are on the full Complex Number Calculator page. All 24 widgets, each with a Copy code button, are in the calculator widget gallery.

The WideMath team

Anuj Paudel, Ashish Pandey and Jhalak Prasad Pandey, Nepal

We build WideMath's free calculators and the widgets that put them on other sites. Every ready-made problem on this page was opened in the widget and checked before it was published. Something not working in your widget? Tell us at [email protected].

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