ᴛᴡᴏ ᴍᴀᴛᴇʀɪᴀʟꜱ ᴡᴇʀᴇ ᴛᴇꜱᴛᴇᴅ ɪɴ ᴛʜᴇ ʟᴀʙᴏʀᴀᴛᴏʀʏ ᴡɪᴛʜ ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴅᴀᴛᴀ ᴜꜱɪɴɢ ᴛʜᴇ ᴜɴɪᴠᴇʀꜱᴀʟ ᴛᴇꜱᴛɪɴɢ ᴍᴀᴄʜɪɴᴇ: ᴍᴀᴛᴇʀɪᴀʟ ᴀ: ᴀ ʀᴏᴅ ᴍᴀᴅᴇ ᴏꜰ ᴀ ꜰᴇʀʀᴏᴜꜱ ᴍᴀᴛᴇʀɪᴀʟ ᴏꜰ 0.5 ɪɴ. ᴅɪᴀᴍᴇᴛᴇʀ ᴡᴀꜱ ᴛᴇꜱᴛᴇᴅ ꜰᴏʀ ᴛᴇɴꜱɪʟᴇ ꜱᴛʀᴇɴɢᴛʜ ᴡɪᴛʜ ᴛʜᴇ ɢᴀᴜɢᴇ ʟᴇɴɢᴛʜ ᴏꜰ 2.5 ɪɴ. ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴏʙꜱᴇʀᴠᴀᴛɪᴏɴꜱ ᴡᴇʀᴇ ʀᴇᴄᴏʀᴅᴇᴅ: ꜰɪɴᴀʟ ʟᴇɴɢᴛʜ = 3.15 ɪɴ; ꜰɪɴᴀʟ ᴅɪᴀᴍᴇᴛᴇʀ = 0.275 ɪɴ; ʏɪᴇʟᴅ ʟᴏᴀᴅ = 7650 ʟʙ. ᴀɴᴅ ᴜʟᴛɪᴍᴀᴛᴇ ʟᴏᴀᴅ = 10375 ʟʙ. ꜱᴛʀᴇꜱꜱ ᴡᴀꜱ ᴏʙꜱᴇʀᴠᴇᴅ ᴛᴏ ʙᴇ ɪɴ ᴀ ꜱᴛʀᴀɪɢʜᴛ-ʟɪɴᴇ ʀᴇʟᴀᴛɪᴏɴꜱʜɪᴘ ᴡɪᴛʜ ᴛʜᴇ ᴇʟᴏɴɢᴀᴛɪᴏɴ ᴜᴘ ᴛᴏ ᴀ ʟᴏᴀᴅ ᴏꜰ ᴀʙᴏᴜᴛ 7000 ʟʙ, ᴀɴᴅ ᴘᴇʀᴍᴀɴᴇɴᴛ ᴅᴇꜰᴏʀᴍᴀᴛɪᴏɴ ꜱᴛᴀʀᴛᴇᴅ ᴛᴏ ᴏᴄᴄᴜʀ ᴀᴛ ᴀʙᴏᴜᴛ 7500 ʟʙ. ᴍᴀᴛᴇʀɪᴀʟ ʙ: ᴀɴᴏᴛʜᴇʀ ʀᴏᴅ ᴏꜰ ꜰᴇʀʀᴏᴜꜱ ᴍᴀᴛᴇʀɪᴀʟ ᴏꜰ ᴇQᴜᴀʟ ᴅɪᴀᴍᴇᴛᴇʀ ᴀɴᴅ ʟᴇɴɢᴛʜ ᴀꜱ ᴛʜᴀᴛ ᴏꜰ ᴍᴀᴛᴇʀɪᴀʟ ᴀ. ᴀᴛ ʙʀᴇᴀᴋᴀɢᴇ, ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴡᴇʀᴇ ʀᴇᴄᴏʀᴅᴇᴅ: ꜰɪɴᴀʟ ʟᴇɴɢᴛʜ = 2.6 ɪɴ; ꜰɪɴᴀʟ ᴅɪᴀᴍᴇᴛᴇʀ = 0.495 ɪɴ; ʏɪᴇʟᴅ ʟᴏᴀᴅ = ᴜɴᴅᴇꜰɪɴᴇᴅ ᴀɴᴅ ᴜʟᴛɪᴍᴀᴛᴇ ʟᴏᴀᴅ = 7940 ʟʙ. ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟɪᴛʏ ᴏꜰ ʟᴏᴀᴅ ᴀɴᴅ ᴅᴇꜰᴏʀᴍᴀᴛɪᴏɴ ᴇɴᴅᴇᴅ ᴀᴛ ᴀʙᴏᴜᴛ 6500 ᴀɴᴅ ᴘᴇʀᴍᴀɴᴇɴᴛ ᴅᴇꜰᴏʀᴍᴀᴛɪᴏɴ ᴏᴄᴄᴜʀʀᴇᴅ ᴀᴛ ᴀᴘᴘʀᴏxɪᴍᴀᴛᴇʟʏ 7250 ʟʙ. ꜰᴏʀ ᴇᴀᴄʜ ᴍᴀᴛᴇʀɪᴀʟ, ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ: ᴀ) ʏɪᴇʟᴅ ꜱᴛʀᴇꜱꜱ, ʙ) ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟ ʟɪᴍɪᴛ, ᴄ) ᴇʟᴀꜱᴛɪᴄ ʟɪᴍɪᴛ, ᴅ) ᴜʟᴛɪᴍᴀᴛᴇ ᴛᴇɴꜱɪʟᴇ ꜱᴛʀᴇꜱꜱ, ᴇ) ᴘᴇʀᴄᴇɴᴛᴀɢᴇ ʀᴇᴅᴜᴄᴛɪᴏɴ ɪɴ ᴀʀᴇᴀ, ᴀɴᴅ 0 ᴘᴇʀᴄᴇɴᴛᴀɢᴇ ᴇʟᴏɴɢᴀᴛɪᴏɴ, ɢ) ᴡʜᴀᴛ ꜱᴘᴇᴄɪꜰɪᴄ ᴍᴀᴛᴇʀɪᴀʟ, ɪꜰ ᴀɴʏ, ɪꜱ ꜱɪᴍɪʟᴀʀ ᴛᴏ ᴛʜᴇ ᴛᴇꜱᴛᴇᴅ ʀᴏᴅꜱ?

ᴛᴡᴏ ᴍᴀᴛᴇʀɪᴀʟꜱ ᴡᴇʀᴇ ᴛᴇꜱᴛᴇᴅ ɪɴ ᴛʜᴇ ʟᴀʙᴏʀᴀᴛᴏʀʏ ᴡɪᴛʜ ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴅᴀᴛᴀ ᴜꜱɪɴɢ ᴛʜᴇ ᴜɴɪᴠᴇʀꜱᴀʟ ᴛᴇꜱᴛɪɴɢ ᴍᴀᴄʜɪɴᴇ: ᴍᴀᴛᴇʀɪᴀʟ ᴀ: ᴀ ʀᴏᴅ ᴍᴀᴅᴇ ᴏꜰ ᴀ ꜰᴇʀʀᴏᴜꜱ ᴍᴀᴛᴇʀɪᴀʟ ᴏꜰ 0.5 ɪɴ. ᴅɪᴀᴍᴇᴛᴇʀ ᴡᴀꜱ ᴛᴇꜱᴛᴇᴅ ꜰᴏʀ ᴛᴇɴꜱɪʟᴇ ꜱᴛʀᴇɴɢᴛʜ ᴡɪᴛʜ ᴛʜᴇ ɢᴀᴜɢᴇ ʟᴇɴɢᴛʜ ᴏꜰ 2.5 ɪɴ. ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴏʙꜱᴇʀᴠᴀᴛɪᴏɴꜱ ᴡᴇʀᴇ ʀᴇᴄᴏʀᴅᴇᴅ: ꜰɪɴᴀʟ ʟᴇɴɢᴛʜ = 3.15 ɪɴ; ꜰɪɴᴀʟ ᴅɪᴀᴍᴇᴛᴇʀ = 0.275 ɪɴ; ʏɪᴇʟᴅ ʟᴏᴀᴅ = 7650 ʟʙ. ᴀɴᴅ ᴜʟᴛɪᴍᴀᴛᴇ ʟᴏᴀᴅ = 10375 ʟʙ. ꜱᴛʀᴇꜱꜱ ᴡᴀꜱ ᴏʙꜱᴇʀᴠᴇᴅ ᴛᴏ ʙᴇ ɪɴ ᴀ ꜱᴛʀᴀɪɢʜᴛ-ʟɪɴᴇ ʀᴇʟᴀᴛɪᴏɴꜱʜɪᴘ ᴡɪᴛʜ ᴛʜᴇ ᴇʟᴏɴɢᴀᴛɪᴏɴ ᴜᴘ ᴛᴏ ᴀ ʟᴏᴀᴅ ᴏꜰ ᴀʙᴏᴜᴛ 7000 ʟʙ, ᴀɴᴅ ᴘᴇʀᴍᴀɴᴇɴᴛ ᴅᴇꜰᴏʀᴍᴀᴛɪᴏɴ ꜱᴛᴀʀᴛᴇᴅ ᴛᴏ ᴏᴄᴄᴜʀ ᴀᴛ ᴀʙᴏᴜᴛ 7500 ʟʙ. ᴍᴀᴛᴇʀɪᴀʟ ʙ: ᴀɴᴏᴛʜᴇʀ ʀᴏᴅ ᴏꜰ ꜰᴇʀʀᴏᴜꜱ ᴍᴀᴛᴇʀɪᴀʟ ᴏꜰ ᴇQᴜᴀʟ ᴅɪᴀᴍᴇᴛᴇʀ ᴀɴᴅ ʟᴇɴɢᴛʜ ᴀꜱ ᴛʜᴀᴛ ᴏꜰ ᴍᴀᴛᴇʀɪᴀʟ ᴀ. ᴀᴛ ʙʀᴇᴀᴋᴀɢᴇ, ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴡᴇʀᴇ ʀᴇᴄᴏʀᴅᴇᴅ: ꜰɪɴᴀʟ ʟᴇɴɢᴛʜ = 2.6 ɪɴ; ꜰɪɴᴀʟ ᴅɪᴀᴍᴇᴛᴇʀ = 0.495 ɪɴ; ʏɪᴇʟᴅ ʟᴏᴀᴅ = ᴜɴᴅᴇꜰɪɴᴇᴅ ᴀɴᴅ ᴜʟᴛɪᴍᴀᴛᴇ ʟᴏᴀᴅ = 7940 ʟʙ. ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟɪᴛʏ ᴏꜰ ʟᴏᴀᴅ ᴀɴᴅ ᴅᴇꜰᴏʀᴍᴀᴛɪᴏɴ ᴇɴᴅᴇᴅ ᴀᴛ ᴀʙᴏᴜᴛ 6500 ᴀɴᴅ ᴘᴇʀᴍᴀɴᴇɴᴛ ᴅᴇꜰᴏʀᴍᴀᴛɪᴏɴ ᴏᴄᴄᴜʀʀᴇᴅ ᴀᴛ ᴀᴘᴘʀᴏxɪᴍᴀᴛᴇʟʏ 7250 ʟʙ. ꜰᴏʀ ᴇᴀᴄʜ ᴍᴀᴛᴇʀɪᴀʟ, ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ: ᴀ) ʏɪᴇʟᴅ ꜱᴛʀᴇꜱꜱ, ʙ) ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟ ʟɪᴍɪᴛ, ᴄ) ᴇʟᴀꜱᴛɪᴄ ʟɪᴍɪᴛ, ᴅ) ᴜʟᴛɪᴍᴀᴛᴇ ᴛᴇɴꜱɪʟᴇ ꜱᴛʀᴇꜱꜱ, ᴇ) ᴘᴇʀᴄᴇɴᴛᴀɢᴇ ʀᴇᴅᴜᴄᴛɪᴏɴ ɪɴ ᴀʀᴇᴀ, ᴀɴᴅ 0 ᴘᴇʀᴄᴇɴᴛᴀɢᴇ ᴇʟᴏɴɢᴀᴛɪᴏɴ, ɢ) ᴡʜᴀᴛ ꜱᴘᴇᴄɪꜰɪᴄ ᴍᴀᴛᴇʀɪᴀʟ, ɪꜰ ᴀɴʏ, ɪꜱ ꜱɪᴍɪʟᴀʀ ᴛᴏ ᴛʜᴇ ᴛᴇꜱᴛᴇᴅ ʀᴏᴅꜱ?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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ᴛᴡᴏ ᴍᴀᴛᴇʀɪᴀʟꜱ ᴡᴇʀᴇ ᴛᴇꜱᴛᴇᴅ ɪɴ ᴛʜᴇ ʟᴀʙᴏʀᴀᴛᴏʀʏ ᴡɪᴛʜ ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴅᴀᴛᴀ ᴜꜱɪɴɢ ᴛʜᴇ ᴜɴɪᴠᴇʀꜱᴀʟ ᴛᴇꜱᴛɪɴɢ ᴍᴀᴄʜɪɴᴇ:
ᴍᴀᴛᴇʀɪᴀʟ ᴀ: ᴀ ʀᴏᴅ ᴍᴀᴅᴇ ᴏꜰ ᴀ ꜰᴇʀʀᴏᴜꜱ ᴍᴀᴛᴇʀɪᴀʟ ᴏꜰ 0.5 ɪɴ. ᴅɪᴀᴍᴇᴛᴇʀ ᴡᴀꜱ ᴛᴇꜱᴛᴇᴅ ꜰᴏʀ ᴛᴇɴꜱɪʟᴇ ꜱᴛʀᴇɴɢᴛʜ ᴡɪᴛʜ ᴛʜᴇ ɢᴀᴜɢᴇ ʟᴇɴɢᴛʜ ᴏꜰ 2.5 ɪɴ. ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴏʙꜱᴇʀᴠᴀᴛɪᴏɴꜱ ᴡᴇʀᴇ ʀᴇᴄᴏʀᴅᴇᴅ: ꜰɪɴᴀʟ ʟᴇɴɢᴛʜ = 3.15 ɪɴ; ꜰɪɴᴀʟ ᴅɪᴀᴍᴇᴛᴇʀ = 0.275 ɪɴ; ʏɪᴇʟᴅ ʟᴏᴀᴅ = 7650 ʟʙ. ᴀɴᴅ ᴜʟᴛɪᴍᴀᴛᴇ ʟᴏᴀᴅ = 10375 ʟʙ. ꜱᴛʀᴇꜱꜱ ᴡᴀꜱ ᴏʙꜱᴇʀᴠᴇᴅ ᴛᴏ ʙᴇ ɪɴ ᴀ ꜱᴛʀᴀɪɢʜᴛ-ʟɪɴᴇ ʀᴇʟᴀᴛɪᴏɴꜱʜɪᴘ ᴡɪᴛʜ ᴛʜᴇ ᴇʟᴏɴɢᴀᴛɪᴏɴ ᴜᴘ ᴛᴏ ᴀ ʟᴏᴀᴅ ᴏꜰ ᴀʙᴏᴜᴛ 7000 ʟʙ, ᴀɴᴅ ᴘᴇʀᴍᴀɴᴇɴᴛ ᴅᴇꜰᴏʀᴍᴀᴛɪᴏɴ ꜱᴛᴀʀᴛᴇᴅ ᴛᴏ ᴏᴄᴄᴜʀ ᴀᴛ ᴀʙᴏᴜᴛ 7500
ʟʙ.
ᴍᴀᴛᴇʀɪᴀʟ ʙ: ᴀɴᴏᴛʜᴇʀ ʀᴏᴅ ᴏꜰ ꜰᴇʀʀᴏᴜꜱ ᴍᴀᴛᴇʀɪᴀʟ ᴏꜰ ᴇQᴜᴀʟ ᴅɪᴀᴍᴇᴛᴇʀ ᴀɴᴅ ʟᴇɴɢᴛʜ ᴀꜱ ᴛʜᴀᴛ ᴏꜰ ᴍᴀᴛᴇʀɪᴀʟ ᴀ. ᴀᴛ ʙʀᴇᴀᴋᴀɢᴇ, ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴡᴇʀᴇ ʀᴇᴄᴏʀᴅᴇᴅ: ꜰɪɴᴀʟ ʟᴇɴɢᴛʜ = 2.6 ɪɴ; ꜰɪɴᴀʟ ᴅɪᴀᴍᴇᴛᴇʀ = 0.495 ɪɴ; ʏɪᴇʟᴅ ʟᴏᴀᴅ = ᴜɴᴅᴇꜰɪɴᴇᴅ ᴀɴᴅ ᴜʟᴛɪᴍᴀᴛᴇ ʟᴏᴀᴅ = 7940 ʟʙ. ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟɪᴛʏ ᴏꜰ ʟᴏᴀᴅ ᴀɴᴅ ᴅᴇꜰᴏʀᴍᴀᴛɪᴏɴ ᴇɴᴅᴇᴅ ᴀᴛ ᴀʙᴏᴜᴛ 6500 ᴀɴᴅ ᴘᴇʀᴍᴀɴᴇɴᴛ ᴅᴇꜰᴏʀᴍᴀᴛɪᴏɴ ᴏᴄᴄᴜʀʀᴇᴅ ᴀᴛ ᴀᴘᴘʀᴏxɪᴍᴀᴛᴇʟʏ 7250 ʟʙ.
ꜰᴏʀ ᴇᴀᴄʜ ᴍᴀᴛᴇʀɪᴀʟ, ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ: ᴀ) ʏɪᴇʟᴅ ꜱᴛʀᴇꜱꜱ, ʙ) ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟ ʟɪᴍɪᴛ, ᴄ) ᴇʟᴀꜱᴛɪᴄ ʟɪᴍɪᴛ, ᴅ) ᴜʟᴛɪᴍᴀᴛᴇ ᴛᴇɴꜱɪʟᴇ ꜱᴛʀᴇꜱꜱ, ᴇ) ᴘᴇʀᴄᴇɴᴛᴀɢᴇ ʀᴇᴅᴜᴄᴛɪᴏɴ ɪɴ ᴀʀᴇᴀ, ᴀɴᴅ 0 ᴘᴇʀᴄᴇɴᴛᴀɢᴇ ᴇʟᴏɴɢᴀᴛɪᴏɴ, ɢ) ᴡʜᴀᴛ ꜱᴘᴇᴄɪꜰɪᴄ ᴍᴀᴛᴇʀɪᴀʟ, ɪꜰ ᴀɴʏ, ɪꜱ ꜱɪᴍɪʟᴀʀ ᴛᴏ ᴛʜᴇ ᴛᴇꜱᴛᴇᴅ ʀᴏᴅꜱ? Indicate some drawings

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