1. The document provides information about physics formulas and concepts including equations for force, motion, energy, waves, electricity, and more.
2. Key formulas and values given include g = 9.8 m/s^2, π = 3.14159, trigonometric identities, equations for forces on two masses connected by a string, kinetic and potential energy, simple harmonic motion, magnetic force, resistance, sound intensity, diffraction, and gas laws.
3. Examples are worked through applying the given formulas to calculate values for forces, velocities, distances, wavelengths, power, pressure changes, and resistance.
Solutions manual for microelectronic circuits analysis and design 3rd edition...Gallian394
Solutions Manual for Microelectronic Circuits Analysis and Design 3rd Edition by Rashid IBSN 9781305635166
Download at: https://goo.gl/ShMdzK
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Solutions manual for microelectronic circuits analysis and design 3rd edition...Gallian394
Solutions Manual for Microelectronic Circuits Analysis and Design 3rd Edition by Rashid IBSN 9781305635166
Download at: https://goo.gl/ShMdzK
People also search:
microelectronic circuits analysis and design rashid pdf
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4. F 7 ( )
ʽ ก F 7 . . 2555
ก F F F F
g = 9.8 m/s2 π = 3.14159
180 = π log10(2) = 0.3010
sin 30 = cos 60 = 1
2
sin 60 = cos 30 =
3
2
1. กF ก ก ก F ก Fm1
Fก ก g ˈ F ก F F กm2
F ก ก
1. 2.m2g (m2 − m1)g
3. 4.m2m1
m1 −m2
g
m2m1
m2 −m1
g
5. m2m1
m2 +m1
g
5
: = maΣF
=m2g (m1 + m2)a
a = m2g
m1 +m2
: = mammmm1111 Σ F
T = m1
m2g
m1 + m2
T = m2m1
m1 +m2
g
m2
m1
N
T
T
a
a
m g2
m g1
m1
m2
1
5. 2. F ก ก ( F ก กก ( F1
2
MR2)
Fก F ก ก ก F F F กMR2)
F ก ก F ก กก
F
1. 2. 3. 4.2
3
4
3
3
2
3
4
5. 1
2
1
1 : F c ˈ F ก FI = cmR2
ก =E1 E2
Mgh = 1
2
Mv2 + 1
2
Iω2
Mgh = 1
2
Mv2 + 1
2
cMR2
v
R
2
gh = 1
2
v2(1 + c)
v = 2gh
1+ c
→ v α 1
1+ c
v
v =
1+ k
1+ k
= 1 +1
1+ 1
2
= 2
3
2 :
ก =E1 E2
Mgh = 1
2
Mv2 + 1
2
Iω2
ก ก : Mgh = 1
2
Mv2 + 1
2
1
2
MR2
v2
v ก ก = 4
3
gh = 2
3
gh (1)
ก กก : Mgh = 1
2
Mv2 + 1
2
(MR2)
v2
v ก กก = gh (2)
(1)
(2)
:
v
v =
2
3
gh
gh
= 2
3
1
2
v
h
ω
ก กก ก ก
ก กกก ก
1
2
v
h
ω
ก ก ก ก
ก กก
ก ก
ก กก
ก กก
2
6. 3. ก 3 ก F ก F
ก F ก ก ก F F ก Fก
ก ˈ ก F F
1. F 2. F1
8
1
4
3. ˈ 4 F 4. ˈ F8
5. ˈ 8 F
3
ก
R3 αT2
R2
R1
3
=
T2
T1
2
=
24
3
2
= 82 = 64
R2
R1
= 4
∴ F F ก Fก ก ˈ 4 F F
4. 75 kg กก ก F F F F F ก
ก ก F ก F Fก ˈ 100 cm ก
F ˈ 150 cm
1. 245 N 2. 250 N
3. 368 N 4. 490 N
5. 735 N
1
F F F F ก R ก ก ก
F F F F ก R F
M = M O
mg100 = 2R150
75(9.8)(100) = 2R150 → R = 245 N
O
mg
2RN
100 cm
150 cm
3
7. 5. ก F ก ก ก FM1 M2
ก ก F F ก F ก ก F FM2
F ก T2
T1
1. 2.M2
M1
M1
M2
3. 4.1 +
M2
M1
1 +
M1
M2
5. 1 −
M2
M1
3
1
: = maΣF
=T2 − µm1g − µm2g (m1 + m2)a
=T2 (m1 + m2)a + (m1 + m2)µg
=T2 (m1 + m2)(a + µg) (1)
m1 : = maΣF
=T1 − µm1g m1a
=T1 m1a + µm1g
=T1 m1(a + µg) (2)
(1)
(2)
:
T2
T1
=
(m1 +m2)(a +µg)
m1(a+ µg)
=
m1 + m2
m1
2
ก F
T2
m1 +m2
=
T1
m1
→
T2
T1
=
m1 +m2
m1
M2M1
T1 T2
F F
a a
m m
T1
1 2
T2
f = m g1 1µ f = m g2 2µ
a a
m m
T1
1 2
T2
4
8. 6. F A F F กก ก Fρ
F F ก ก F กν
1. 2. 3. 4.ρAν ρAν2 ρAν3 ν
ρA
5. ν2
ρA
2
ก ΣF ⋅ t = m(v − u)
ΣF ⋅ t = ρVv
l vΣF ⋅ t = ρA
ΣF = ρA t v = ρAv2
7. F F F F F ก F
ก F F F ˈ F ก ก
F ก F ก F
ก ก ก ก
ก 1 1
318 11.2
14.5 4.0
1. ก < < 2. < < ก
3. < ก < 4. < < ก
5. < ก <
5
F M ก = M , R ก = R
ก g = GM
R2
g ก = GM
R2
g = G(318M)
(11.2R)2
= 2.54GM
R2
g = G(14.5M)
(4R)2
= 0.91GM
R2
mg < mg ก < mg
l
l
A v
ก
v
5
9. 8. 50 kg 5.0 m 5.0 s F ก
ก F ก F 20%
F F ก F F ก
1. 98 J/s 2. 392 J/s 3. 490 J/s 4. 1960 J/s
5. 2450 J/s
2
Q = 80% p F FE
Q = 80
100
mgh
=Q
t
80
100
mgh
t =
80
100
(50)(9.8)(5)
5
= 392 J
s
∴ ก F F ก = 392 J
s
9. F ( ก x) F F
F ก F ˈ ก ก F F
+x F ก F ก ก F F
t = 0 F ˈ กt = T1
1. 2.1
3
T1
1
2
T1
3. 4.2
2
T1
2 − 2
2
T1
5. 2 + 2
2
T1
4
กก Fก F F
F ก(a) = v − t = −
V0
T1
: S = Fก กt = 0 − t =
T0
2
1
2
t = 0 − t =
T0
2
S = 1
2
1
2
V0T
= 1
4
V0t
ก S = ut + 1
2
gt2
=1
4
V0T1 V0t + 1
2
−
V0
T1
t2
V0
T1
6
10. F ก4T1
F =T1
2
4T1t − 2t2
= 02t2 − 4T1t + T1
2
t =
− (−4T1) ± (−4T1 )2 − 4(2)(T1
2
)
2(2)
=
4T1 ± 8T1
2
4
= 4T1 ±2 2 T1
4
=
2± 2
2
T1
F t =
2− 2
2
T1
10. F F F ก
F F F ก กก F ก F F
ก F F ก
1. 2. 3. 1 4. 21
4
1
2
5. 4
2
ก r = mv
qB
v B r α m
q
rα
rp
=
mα
mp
qp
qα
=
4
1
1
2
= 2
7
11. 11. F F ก 300 N/m 50.0 cm
1.00 kg F F F ก ก ก
10.0 cm F F F
1. 46.5 cm 2. 50.0 cm 3. 55.3 cm 4. 60.0 cm
5. 65.3 cm
3
=E1 E2
= mgh1
2
kx2
=1
2
(300)(0.1)2 1(9.8)h
h = 0.153 m = 15.3 cm
∴ F = 40 cm + 15.3 cm
= 55.3 cm
m
h
10 cm
40 cm
50 cm
(1)
(2)
8
12. 12. F F F920 kg/m3
F F F ˈ F F1030 kg/m3
1. 11% 2. 21% 3. 50% 4. 79%
5. 89%
1
=
= mgFB
V g = V gρ ρ
ก ˈ =V
V
ρ
ρ
F V = Vρ
ρ
= = 0.89 V
920
1030
V
= 89% V
∴ = 11%
13. F F ʽ F (double slit) F F ʽ
0.03 mm F F ʽ F F F ก ก ˈ 1.5 m ก F F
F F ก ก ก ก ˈ 5.0 cm
1. 250 nm 2. 400 nm 3. 500 nm 4. 667 nm
5. 1000 nm
3
F 2 ก ก F F
=dx
L
n λ
=(0.03×10−3)(5× 10−2)
1.5
2 λ
=λ 500 × 10−9m = 500 nm
mg FB
x A2
L
0
9
13. 14. F F F ˂ F ก F
F F ก ก F F F F F F
ก ˂ ก F F ก F F g ก
1. 0.5g 2. 1.0g 3. 1.5g 4. 2.0g
5. 4.0g
4
ก e F
qE = mg
ก ˂
ก = maΣF
qE + mg = ma
mg + mg = ma
a = 2g
15. ˂ F ก F F 6Ω
1. 6 W 2. 18 W
3. 24 W 4. 36 W
5. 54 W
1
ก กก F VOLT
F F ก F F 6 V6 Ω
P6Ω = V2
R
= 62
6
= 6 W
qE
mg
E e
qE mg
E
E
e
12V
2Ω
6Ω
3Ω
12 V
6 V 6 V
2Ω
6Ω
3Ω
= 2Ω
6
2+1
10
14. 16. F ก F 8.0 m F F 85 dB
F F F ก F 80 m F ˈ ก dB
1. 65 dB 2. 75 dB 3. 83 dB 4. 95 dB
5. 105 dB
1
ก β1 − β2 = 10 log
I2
I1
= 10 log
R1
R2
2
85 − β2 = 10 log
80
8
2
85 − β2 = 10 log 102 = 10(2)log 10 = 20
β2 = 65 dB
17. ʽ F F ก กF500 cm3
F F2.0 × 106 Pa
F ก F ก ˂ ก ก ˂ 15 V F ก F
ก ˈ 10 s กF ˈ 1.1 × 107 Pa
F F F F F
1. 2. 3. 4.3
11
Ω 1
3
Ω 1
2
Ω 3Ω
5. 10
3
Ω
2
ก = ( = 0)∆Q ∆U + ∆W ∆W = 0 ∆V
E ˂ = 3
2
∆PV
=V2
R
t 3
2
V∆P
R = 2
3
⋅ V2t
V∆P
= 2
3
⋅
(15)2(10)
(500× 10−6)(1.1× 107 −2 ×106)
= 1
3
Ω
R = 8 m2
R
=80m
1
= 85 dB1β
= ?2β
1
2
F
0
11
15. 18. F ก ก ก F กกF 10.5 cm
F ก ก F ก F ˈ
44.5 cm ก ก F ก F ก ก F F ก
F ก F ก 340 m/s F ˈ F
1. 250 Hz 2. 500 Hz 3. 764 Hz 4. 810 Hz
5. 1000 Hz
2
ก F Fก F F
ก λ
2
= 44.5 − 10.5 cm
λ
2
= 34 cm = 0.34 m
λ = 0.68 m
ก v = fλ → f = v
λ
= 340
0.68
= 500 Hz
19. F 2.0 cm F F ก ก F 1.0 m F
F F ก F ก F ก F
ก
1. F , 100 cm 2. F F , 100 cm
3. F , 200 cm 4. F F , 200 cm
5. F F , 400 cm
2
F F F F
ก F F ก ก F 1 m
F F F
F F ก F ก F F 1 m
กก F F ˈ ก ก ก ก
F = ก = 1 m = 100 cm
10.5 cm
44.5 cm2
λ
S = 1 m'
12
16. 20. F R ก ก C F ก Fก F ก ˂
Fก ˂ F F t F ˈω
F ก F ˂ AI0sin ωt
1. 2.ωCl0sin ωt ωCI0sin
ωt + π
2
3. 4.l
ωC
I0sin ωt 1
ωC
I0sin
ωt + π
2
5. 1
ωC
I0sin
ωt − π
2
5
Vm = ImXC = I0
1
ωC
ก ก C I V I L
F FIC VC
π
2
rad
VC = Vmsin(ωt − π
2
)
VC = 1
ωC
I0sin(ωt − π
2
)
21. ก A F ˈ 100 F
ก B A ˈ T B ˈ 2T
ก F ก A ก B F ก
1. 2. 3. 4.(2 log102)T (2 log210)T 4T
0.693
(4 log102)T
5. (4 log210)T
5
ก F = =NA NB
t
2T
log102 log 102
= =N0
2
t
2T
100N0
2
t
T
t
2T
log 2 2 log 10
= t =2
t
T 100(2
t
2T ) 2(2T)
log10
log 2
= 100 t =2
t
2T (4 log210)T
=log 2
t
2T log 100
ω
A
R
ωI sin t0
~ C
~
A
I sin t0 ω
13
17. 22. F ก ˈ 24 cm F ก F 0.002 s
ก F ก F ˈ ก
F ก
1. 10 m/s 2. 15 m/s 3. 20 m/s 4. 60 m/s
5. 120 m/s
3
ก F ก P → Q
=tPQ
2
3
T
4
= T
6
= 0.002 sT
6
T = 0.012 s
ก v = λ
T
F v = 0.24
0.012
= 20 m/s
∴ F ก = 20 m/s
23. F F ˈ F ก ˂ F ก ก F ก
ก
1. ก 2. ก F
3. 4.
5.
2
x - rays ˈ F ก ˂ ก
x F ก F F ก F ก กλ
F ก ˂
P(t = 0s)
3060
A
2
A
2
A Q
14
18. 24. F ก ก
n = 3 n = 1 ก F ˂ ( F F )
F
1. 12.1 eV 2. 24.2 eV
3. 1.5 eV 4. 12.1 eV
5. 24.2 eV
5
En =
E1
n2
= −13.6
n2
eV Epn = 2En
n = 3 E3 = − 1.51 eV , Ep3 = 2(−1.51) = − 3.02 eV
n = 2 E2 = − 3.4 eV , Ep2 = 2(−3.4) = − 6.8 eV
n = 1 E1 = − 13.6 eV , Ep1 = 2(−13.6) = − 27.2 eV
∴ ก ก n = 3 n = 1
ก F ˂ = 27.2 − 3.02 = 24.18 eV
≈ 24.2 eV
15
19. 25. F F ก ˈ x F ก ˈ 3 F
F F F ก ˈ ก Fx
2
1. F 2. 6 F3
2
3. F 4. 3 F3
2
5. 6 F
4
F F ก = x F ก m = + 3
F F F F ˈ F
ก m = f
S −f
+3 = f
x −f
= f3x − 3f
f = 3x
4
x
2
F m =
f
S −f
=
3x
4
x
2
− 3x
4
=
3x
4
−x
4
= − 3
∴ F F ก ˈ 3 Fx
2
16