Studyloaf Blog: page 2 of 5

Exam guides and worked GATE ECE explainers, newest first. 59 posts in all.

Posts 13 to 24

Why Does Copper at 1 GHz Carry Current in Only a 2 µm Layer?

Skin depth δ = 1/√(πfμσ) shrinks as 1/√f: copper's is 9.35 mm at 50 Hz, 66.1 µm at 1 MHz and 2.09 µm at 1 GHz. Where it comes from and what it does to a wire.

October 10, 2026•7 min read
ecegateengineering-fundamentals

How Do You Find Thevenin Resistance When a Circuit Has No Independent Source?

With only dependent sources, Voc and Isc are both zero, so Voc ÷ Isc gives 0 ÷ 0. Use a test source: the method, a worked GATE EC example and the usual traps.

October 10, 2026•7 min read
ecegateengineering-fundamentals

How Do You Get the Reflection Coefficient and the Load From Measured Vmax and Vmin?

VSWR = Vmax ÷ Vmin gives |Γ|; the first minimum's position gives its phase. Worked 50 Ω line: VSWR 3, |Γ| = 0.5, return loss 6.02 dB, ZL = 24.05 − j30.50 Ω.

October 10, 2026•8 min read
ecegateengineering-fundamentals

Why Can the Same Z-Transform Belong to Two Different Signals?

A z-transform means nothing without its region of convergence: 1/(1 − az⁻¹) is aⁿu[n] or −aⁿu[−n−1]. Worked poles at 0.5 and 2, three ROCs, which is stable.

October 10, 2026•7 min read
ecegateengineering-fundamentals

Fourier Series for GATE Signals and Systems

Fourier series for GATE EC, EE and IN: the trigonometric and exponential forms, symmetry shortcuts, Parseval's theorem, and three worked examples including a square wave through a filter.

October 7, 2026•8 min read
gateengineering-fundamentals

GATE 2027 Eligibility, Explained with Official Links

GATE 2027 eligibility: third year or higher of any undergraduate degree, or a completed one, and no age limit. What the official IIT Madras brochure says, in plain language, with common cases worked through.

October 7, 2026•5 min read
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GATE 2027 Exam Date and Schedule: Every Official Date So Far

The GATE 2027 exam date: 6 to 7, 13 to 14 and 20 to 21 February 2027, with exam cities on 4 January and results on 19 March. The official IIT Madras dates, and how to plan backwards from them.

October 7, 2026•5 min read
gateexam-logistics

GATE 2027 Syllabus: Where to Find Your Branch's Official Syllabus

The GATE 2027 syllabus was revised, so use the 2027 PDF for your paper. Where IIT Madras publishes each one, the official section names for CS, EC, EE, ME and BT, and how to check a topic in a minute.

October 7, 2026•6 min read
gateexam-pattern

A 90-Day GATE Study Plan You Can Actually Follow

A GATE study plan for the last 90 days: start on 8 November 2026 to finish on 5 February 2027, with hours split by the official GATE marks pattern and dated phases for learning, revision and mocks.

October 7, 2026•7 min read
gatestudy-timetablerevision-planning

How the GATE Application Process Works: Documents to Exam Day

The GATE application process, from the official brochure: the GOAPS portal, DigiLocker, documents and photo ID, payment, then city allotment, admit card and exam day. Registration timing and fees are on the official site.

October 7, 2026•7 min read
gateexam-logisticsadmit-card

GATE CS Preparation: A Subject-by-Subject Study Order

A GATE CS preparation order built from the official 2027 syllabus: which of the ten sections to study first, which ones depend on each other, and a 17-week plan to the exam.

October 7, 2026•7 min read
gatestudy-timetable

GATE ECE Preparation: A Subject-by-Subject Study Order

A GATE ECE preparation order built from the official 2027 EC syllabus: which of the eight sections to study first, how they depend on each other, and a 17-week plan to the exam.

October 7, 2026•7 min read
gatestudy-timetableengineering-fundamentals