Electric Circuits·charge-from-current-integration

Charge From Current Integration

Given a time-dependent current function i(t), compute the total charge accumulated by integrating the current from time zero to infinity. Current is the time derivative of charge, so charge is recovered by integrating current over time.

✓ All 2 test cases pass.

Inputs

Current amplitude

Coefficient multiplying the exponential decay term in the current expression

Exponential decay rate

Positive constant in the exponent controlling how quickly current decays

Test cases

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#	Inputs	Expected	Got	Status
1	{"amplitude":20,"decay_rate":5000}	0.004	0.004	✓
2	{"amplitude":10,"decay_rate":1000}	0.01	0.01	✓

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Endpoint

POST/api/calculators/electric-circuits/charge-from-current-integration/compute

Inputs (2)

amplitudenumberdefault 20
decay_ratenumberdefault 5000

Example

curl -sX POST http://localhost:3001/api/calculators/electric-circuits/charge-from-current-integration/compute \
  -H "Content-Type: application/json" \
  -d '{"inputs":{"amplitude":20,"decay_rate":5000}}'

Try it live

Edit the body below, then click Call API.

Request body

Response

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full API docs →

Source: Pattern from: James W. Nilsson, Susan A. Riedel - Electric Circuits 11e - Instructor’s Solution Manual-Pearson (2019).pdf. Reproduces a standard charge-from-current-integration computation; problem text paraphrased.

AI disclosure: Calculator code generated by anthropic/claude-haiku-4-5-20251001; verified by 2 test cases.