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TUGAS I FISIKA DASAR II
Nama : I Putu Wesa Angga Jaya
NIM : 2108521010
Kelas : A
Program Studi Fisika
Fakultas MAtematika dan Ilmu Pengetahuan Alam
Universitas Udayana
2022
1. In Fig. 22-35, the four particles form a square of edge length a = 5.00 cm and have charges
q1 = +10.0 nC, q2 = -20.0 nC, q3 = +20.0 nC, and q4 = -10.0 nC. In unitvector notation,
what net electric field do the particles produce at the squareโ€™s center?
Pembahasan :
Dik :
a = 5,00 cm = 0,05 m
q1 = +10,0 nC
q2 = -20.0 nC
q3 = +20.0 nC
q4 = -10.0 nC
Dit :
Medan magnet di pusat persegi
Jawab :
โ€ข Komponen Sumbu x medan listrik di pusat persegi
๐ธ๐‘ฅ =
1
4๐œ‹๐œ€0
[
|๐‘ž1|
(
๐‘Ž
โˆš2
)
2 +
|๐‘ž2|
(
๐‘Ž
โˆš2
)
2 โˆ’
|๐‘ž3|
(
๐‘Ž
โˆš2
)
2 โˆ’
|๐‘ž4|
(
๐‘Ž
โˆš2
)
2
]
cos 45ยฐ
๐ธ๐‘ฅ =
2๐‘˜
๐‘Ž2
[|๐‘ž1| + |๐‘ž2| โˆ’ |๐‘ž3| โˆ’ |๐‘ž4|] cos 45ยฐ
๐ธ๐‘ฅ =
2๐‘˜
๐‘Ž2
[|10 ๐‘›๐ถ| + |โˆ’20 ๐‘›๐ถ| โˆ’ |20 ๐‘›๐ถ| โˆ’ |โˆ’10 ๐‘›๐ถ|] cos 45ยฐ
๐ธ๐‘ฅ =
2๐‘˜
๐‘Ž2
[0] cos 45ยฐ
๐ธ๐‘ฅ = ๐ŸŽ ๐’๐‘ช
โ€ข Komponen Sumbu y medan listrik di pusat persegi
๐ธ๐‘ฆ =
1
4๐œ‹๐œ€0
[
โˆ’
|๐‘ž1|
(
๐‘Ž
โˆš2
)
2 +
|๐‘ž2|
(
๐‘Ž
โˆš2
)
2 +
|๐‘ž3|
(
๐‘Ž
โˆš2
)
2 โˆ’
|๐‘ž4|
(
๐‘Ž
โˆš2
)
2
]
sin 45ยฐ
๐ธ๐‘ฆ =
2๐‘˜
๐‘Ž2
[โˆ’|๐‘ž1| + |๐‘ž2| + |๐‘ž3| โˆ’ |๐‘ž4|] sin 45ยฐ
๐ธ๐‘ฆ =
2 ร— 8,99 ร— 109
(0,05)2
[โˆ’|10 ๐‘›๐ถ| + |โˆ’20 ๐‘›๐ถ| + |20 ๐‘›๐ถ| โˆ’ |โˆ’10 ๐‘›๐ถ|] sin 45ยฐ
๐ธ๐‘ฆ =
17,98 ร— 109
0,0025
[2 ร— 10โˆ’8
๐ถ] sin 45ยฐ
๐ธ๐‘ฆ = ๐Ÿ, ๐ŸŽ๐Ÿ ร— ๐Ÿ๐ŸŽ๐Ÿ“
N/C
Jadi medan magnet di pusat persegi adalah ๐‘ฌ
โƒ—โƒ— = ๐‘ฌ
โƒ—โƒ— ๐’šฤต = (๐Ÿ, ๐ŸŽ๐Ÿ ร— ๐Ÿ๐ŸŽ๐Ÿ“
N/C) ฤต
2. The cube in Figure has the edge length 1.40 m and is oriented as shown in a region of the
uniform electric field. Find the electric flux through the right face if the electric field, in
newtons per coulomb, is given by (a)6.00i (b)โˆ’2.00j and (c)โˆ’3.00i+400k (d) What is the
total flux through the cube for each field?
Pembahasan
Dik :
Panjang sisi = 1,40 m
Dit :
a. Flux listrik yang melewati sisi kanan jika medan magnet 6,00i
b. Flux listrik yang melewati sisi kanan jika medan magnet -2,00j
c. Flux listrik yang melewati sisi kanan jika medan magnet -3,00i + 400k
d. fluks total yang melalui kubus untuk setiap bidang
Jawab :
a. Flux listrik yang melewati sisi kanan jika medan magnet 6,00i
Misalkan ๐ด = ๐ดฤต = (1,4 ๐‘š)2
ฤต
ษธ = โˆฎ ๐ธ
โƒ— . ๐‘‘๐ด
ษธ = (6,00)รฎ N/C . (1,4 ๐‘š)2
ฤต
ษธ = ๐ŸŽ N๐’Ž๐Ÿ
/C
b. Flux listrik yang melewati sisi kanan jika medan magnet -2,00j
Misalkan ๐ด = ๐ดฤต = (1,4 ๐‘š)2
ฤต
ษธ = โˆฎ ๐ธ
โƒ— . ๐‘‘๐ด
ษธ = (โˆ’2,00)ฤต N/C . (1,4 ๐‘š)2
ฤต
ษธ = ๐Ÿ‘, ๐Ÿ—๐Ÿ N๐’Ž๐Ÿ
/C
c. Flux listrik yang melewati sisi kanan jika medan magnet -3,00i + 400k
Misalkan ๐ด = ๐ดฤต = (1,4 ๐‘š)2
ฤต
ษธ = โˆฎ ๐ธ
โƒ— . ๐‘‘๐ด
ษธ = (โˆ’3,00 รฎ + 400 ๐‘˜
ฬ‚) N/C . (1,4 ๐‘š)2
ฤต
ษธ = ๐ŸŽ N๐’Ž๐Ÿ
/C
d. Fluks total medan seragam melalui permukaan tertutup selalu nol.

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I Putu Wesa Angga Jaya_2108521010_Tugas I Fisika Dasar II.pdf

  • 1. TUGAS I FISIKA DASAR II Nama : I Putu Wesa Angga Jaya NIM : 2108521010 Kelas : A Program Studi Fisika Fakultas MAtematika dan Ilmu Pengetahuan Alam Universitas Udayana 2022
  • 2. 1. In Fig. 22-35, the four particles form a square of edge length a = 5.00 cm and have charges q1 = +10.0 nC, q2 = -20.0 nC, q3 = +20.0 nC, and q4 = -10.0 nC. In unitvector notation, what net electric field do the particles produce at the squareโ€™s center? Pembahasan : Dik : a = 5,00 cm = 0,05 m q1 = +10,0 nC q2 = -20.0 nC q3 = +20.0 nC q4 = -10.0 nC Dit : Medan magnet di pusat persegi Jawab : โ€ข Komponen Sumbu x medan listrik di pusat persegi ๐ธ๐‘ฅ = 1 4๐œ‹๐œ€0 [ |๐‘ž1| ( ๐‘Ž โˆš2 ) 2 + |๐‘ž2| ( ๐‘Ž โˆš2 ) 2 โˆ’ |๐‘ž3| ( ๐‘Ž โˆš2 ) 2 โˆ’ |๐‘ž4| ( ๐‘Ž โˆš2 ) 2 ] cos 45ยฐ ๐ธ๐‘ฅ = 2๐‘˜ ๐‘Ž2 [|๐‘ž1| + |๐‘ž2| โˆ’ |๐‘ž3| โˆ’ |๐‘ž4|] cos 45ยฐ ๐ธ๐‘ฅ = 2๐‘˜ ๐‘Ž2 [|10 ๐‘›๐ถ| + |โˆ’20 ๐‘›๐ถ| โˆ’ |20 ๐‘›๐ถ| โˆ’ |โˆ’10 ๐‘›๐ถ|] cos 45ยฐ ๐ธ๐‘ฅ = 2๐‘˜ ๐‘Ž2 [0] cos 45ยฐ ๐ธ๐‘ฅ = ๐ŸŽ ๐’๐‘ช โ€ข Komponen Sumbu y medan listrik di pusat persegi ๐ธ๐‘ฆ = 1 4๐œ‹๐œ€0 [ โˆ’ |๐‘ž1| ( ๐‘Ž โˆš2 ) 2 + |๐‘ž2| ( ๐‘Ž โˆš2 ) 2 + |๐‘ž3| ( ๐‘Ž โˆš2 ) 2 โˆ’ |๐‘ž4| ( ๐‘Ž โˆš2 ) 2 ] sin 45ยฐ ๐ธ๐‘ฆ = 2๐‘˜ ๐‘Ž2 [โˆ’|๐‘ž1| + |๐‘ž2| + |๐‘ž3| โˆ’ |๐‘ž4|] sin 45ยฐ ๐ธ๐‘ฆ = 2 ร— 8,99 ร— 109 (0,05)2 [โˆ’|10 ๐‘›๐ถ| + |โˆ’20 ๐‘›๐ถ| + |20 ๐‘›๐ถ| โˆ’ |โˆ’10 ๐‘›๐ถ|] sin 45ยฐ ๐ธ๐‘ฆ = 17,98 ร— 109 0,0025 [2 ร— 10โˆ’8 ๐ถ] sin 45ยฐ
  • 3. ๐ธ๐‘ฆ = ๐Ÿ, ๐ŸŽ๐Ÿ ร— ๐Ÿ๐ŸŽ๐Ÿ“ N/C Jadi medan magnet di pusat persegi adalah ๐‘ฌ โƒ—โƒ— = ๐‘ฌ โƒ—โƒ— ๐’šฤต = (๐Ÿ, ๐ŸŽ๐Ÿ ร— ๐Ÿ๐ŸŽ๐Ÿ“ N/C) ฤต 2. The cube in Figure has the edge length 1.40 m and is oriented as shown in a region of the uniform electric field. Find the electric flux through the right face if the electric field, in newtons per coulomb, is given by (a)6.00i (b)โˆ’2.00j and (c)โˆ’3.00i+400k (d) What is the total flux through the cube for each field? Pembahasan Dik : Panjang sisi = 1,40 m Dit : a. Flux listrik yang melewati sisi kanan jika medan magnet 6,00i b. Flux listrik yang melewati sisi kanan jika medan magnet -2,00j c. Flux listrik yang melewati sisi kanan jika medan magnet -3,00i + 400k d. fluks total yang melalui kubus untuk setiap bidang Jawab : a. Flux listrik yang melewati sisi kanan jika medan magnet 6,00i Misalkan ๐ด = ๐ดฤต = (1,4 ๐‘š)2 ฤต ษธ = โˆฎ ๐ธ โƒ— . ๐‘‘๐ด ษธ = (6,00)รฎ N/C . (1,4 ๐‘š)2 ฤต ษธ = ๐ŸŽ N๐’Ž๐Ÿ /C b. Flux listrik yang melewati sisi kanan jika medan magnet -2,00j Misalkan ๐ด = ๐ดฤต = (1,4 ๐‘š)2 ฤต ษธ = โˆฎ ๐ธ โƒ— . ๐‘‘๐ด ษธ = (โˆ’2,00)ฤต N/C . (1,4 ๐‘š)2 ฤต ษธ = ๐Ÿ‘, ๐Ÿ—๐Ÿ N๐’Ž๐Ÿ /C c. Flux listrik yang melewati sisi kanan jika medan magnet -3,00i + 400k
  • 4. Misalkan ๐ด = ๐ดฤต = (1,4 ๐‘š)2 ฤต ษธ = โˆฎ ๐ธ โƒ— . ๐‘‘๐ด ษธ = (โˆ’3,00 รฎ + 400 ๐‘˜ ฬ‚) N/C . (1,4 ๐‘š)2 ฤต ษธ = ๐ŸŽ N๐’Ž๐Ÿ /C d. Fluks total medan seragam melalui permukaan tertutup selalu nol.