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Formula sheets

One page of standard results per subject, written from scratch for this list. A sheet is a study aid, not a source of exam facts: marks, dates and syllabus claims stay on the exam pages, which carry the evidence.

Format

One subject per file: formula-sheets/<subject>.md, where <subject> is a lowercase-hyphenated slug and the file name equals the frontmatter subject. The gate (python3 scripts/validate.py) rejects a sheet with no frontmatter, missing title, subject or exams, an exam id that is not in the registry, no $$ display-math block, or a $$ block left unclosed.

Frontmatter key Meaning
title Sheet title, e.g. Electric Circuits — formula sheet.
subject Lowercase-hyphenated slug; must equal the file name.
exams Comma-separated registry exam ids the sheet serves, e.g. gate-ee, upsc-ese-ee.

Display math goes between $$ delimiters. Every opening $$ needs a closing $$; the gate pairs them up outside fenced code blocks, so an unclosed block fails with the line number. A \$$ is a literal delimiter for the page and is ignored by the check.

---
title: Electric Circuits — formula sheet
subject: electric-circuits
exams: gate-ee, upsc-ese-ee
---

# Electric Circuits — formula sheet

$$ V = IR, \qquad P = VI $$

Sheets

  • Electric Circuits — DC, network theorems, transients, RLC, AC power, resonance, three-phase and two-port results.