Project ForgeEngineering Mathematics
Calculus
GATE 2022
Easy
F(t) is a periodic square wave function as shown (it takes only two values, 4 and 0, and stays at each of these values for 1 second before changing). What is the constant term in the Fourier series expansion of F(t)?
- A1
- 2
- C3
- D4
Explanation
The constant (DC) term a₀/2 of a Fourier series equals the average value of the function over one period. F(t) spends half the period at 4 and half at 0, so the average is (4+0)/2 = 2.
Source: GATE ME 2022 Session 2 (ME-2) (2022)
This question is part of a 15-day revision cycle — sign in and Project Forge will bring it back the day before you'd forget it.