Question

the Laplace transform of periodic function is​

Answer 1

Step-by-step explanation:

Laplace Transform of a Periodic Function f(t) ... The Laplace Transform of the periodic function f(t) with period p, equals the Laplace Transform of one cycle of the function, divided by ( 1 − e − s p ) \displaystyle{\left({1}-{e}^{{-{s}{p}}}\right)} (1−e−sp).

Answer 2

ƭʀᴀɴรғᴏʀᴍ ᴏғ ρᴇʀɪᴏᴅɪᴄ ƒᴜɴᴄᴛɪᴏɴร ℓᴀᴘʟᴀᴄᴇ ƭʀᴀɴรғᴏʀᴍ ᴏғ ᴀ ρᴇʀɪᴏᴅɪᴄ ƒᴜɴᴄᴛɪᴏɴ ғ ( ᴛ) \ᴅɪรᴘʟᴀʏรᴛʏʟᴇ {\ʟᴇғᴛ ( {1}- {ᴇ}^ { {- {ร} {ᴘ}}}ɪɢʜᴛ)} (1−ᴇ−รᴘ). ɠʀᴀᴘʜ ᴏғ ᴘᴇʀɪᴏᴅɪᴄ ᴜɴɪᴛ ʀᴀᴍᴘ ғᴜɴᴄᴛɪᴏɴ. `ғ_1 (ᴛ)=ᴛ* [ᴜ (ᴛ)-ᴜ (ᴛ-1)]` ᴀɴᴅ ᴛʜᴀᴛ ᴛʜᴇ ᴘᴇʀɪᴏᴅ ɪร `ᴘ=2`. ɠʀᴀᴘʜ ᴏғ รᴀᴡ-ᴛᴏᴏᴛʜ ᴡᴀᴠᴇғᴏʀᴍ. ᴀɴᴅ ᴛʜᴀᴛ ᴛʜᴇ ᴘᴇʀɪᴏᴅ ɪร `ᴘ = ʙ`.