1.V air tumpah = V2 a - V2 p = 1(1 + 2 x 10-4 x 80 ) - 1 (1+ 3 x 3 x 10-6 x 80 )
= 1,016 - 1,00072 = 0,01528 L
2. Q lepas = Q terima
m x c x delta t = m x c x delta t
60 x (n82 - t ) = 300 ( t - 10 )
t = 22 derajat celcius
3. Q lepas = Q terima
ma x ca x delta t = mes x ces x delta t + mes x Les + mes x c air x delta t air
500 x 1 x 30 = n x 0,5 x 20 + n x 80 + n x 1 x 50
n = 107,14 gram
4. Q total = mes ( ces x delta t + L + c air x delta t + U + c uap x delta t )
= 0,05 (3100 x 20 + 334000 + 4200 x 100 + 2256000 + 2010 x 20 )
= 154.160 Joule
5. n1 = 1,5 R1 = -10 cm R2 = -30 cm
1/f = (n2/n1 -1 ) ( 1/R1 + 1/R2)
= (1,5/1 -1 ) ( -1/10 - 1/30)
= -2/30
f = -15 cm
6. (Q/t) a = (Q/t) b
(ka x Aa x delta ta)/ l a = (kb x Ab x delta tb)/ lb
ka ( 80- t ) = 2 ka ( t - 5 )
t = 30 derajat celcius
7. fob = 10 mm fok = 25 mm Sob = 10,5 mm , berakomodasi maks
1/S'ob = 1/10 - 1/10,5
= 5/1050
Jadi S'ob = 210 mm
1/Sok = 1/25 - (-1/250) = 11/250
Jadi Sok = 22,727 mm
d = S'ob + Sok = 210 + 22,727 = 232,727 mm
M = S'ob/Sob ( Sn/fok + 1 )
= 210/10,5 (250/25 + 1 )
= 220 x
8. 1/fu : 1/fa = ( nl/nu - 1 ) : ( nl/na - 1 )
fa : 20 = ( 1,6/1 - 1 ) : ( 1,6/1,33 - 1 )
fa = 59,11 cm
9. B
10. B
11. C
12. R al = R cu
rho x l/a = rho x l/a
(2,65 x 10-8) : (1/4 phi x d al pangkat 2) = (1,72 x 10-8) : (1/4 phi x 2 pangkat 2)
d al = 2,48 mm
13. delta R = R1 x alfa x delta t
10,4 - 10 = 10 x alfa x 20
alfa = 0,002/derajat delcius
R2 = R1 ( 1 + alfa x delta t )
= 10 ( 1 + 0,002 x 50 )
= 11 ohm
14. a. Rs1 = 2 + 4 = 6 ohm Rs2 = 4 +8 = 12 ohm
R penganti = (12 x 6) : ( 12 + 6 ) = 4 ohm
b. Ra = (1 x 2 ) : ( 1 + 2 + 3) = 1/3
Rb = (1 x 3 ) : ( 1 + 2 + 3) = 1/2
Rc = (2 x 3 ) : ( 1 + 2 + 3) = 1
Rs1 = Rb + 4 = 0,5 + 4 = 4,5 ohm
Rs2 = Rc + 5 = 1 + 5 = 6 okm
1/Rp1 = 1/Rs1 + 1/Rs2 = 2/9 + 1/6 = 7/18 , Rp1 = 18/7 ohm
R pengganti = Ra + Rp1 = 1/3 + 18/7 = 61/21 ohm
15. R1 = 200 kuadrat : 60 = 666,67 ohm
R2 = 240 kuadrat : 100 = 576 ohm
V = 480 volt
a. I = E : ( R + r ) = 480 : 1242,67 = 0,386 Ampere
I = I1 + I2 = 0,386 Ampere ( seri )
V1 = 0,386 x 666,67 = 257,335 Volt
V2 = 0,386 x 576 = 222,336 Volt
b. P = I kuadrat x Rs
= 0,386 (pangkat 2) x 1242,67
= 185,153 watt
16. W1 = 5 x 20 x 6 x 30 = 18000 Wh = 18 kwh
W2 = 100 x 2 x 30 = 6000 Wh = 6 kwh
W3 = 40 x 24 x 30 = 28800 Wh = 28,8 kwh
W4 = 60 x 4 x 30 = 7200 Wh = 7,2 kwh
W total = 60 kwh
Biaya = W x Rp 500,- = 60 x 500 = Rp 30.000,-
17. W = Q
I (pangkat 2) x R x t = m a x c a x delta t + H x delta t
I (pangkat 2) x R x 120 = 1 x 4200 x 20 + 60 x 20
R = 710 ohm
18. R6 = 5 ohm ; I = 50 A ; V6 = 10 mV = 0.01 V
I6 = V6 : R6 = 0,01 : 5 = 0,002 A
R shunt = RG : ( n - 1 ) = 5 : ( 2500 - 1 ) = 2,04 x 10-3 ohm
n = I / IG = 5 / 0,002 = 2500
19.R1 = 8 ohm ; I2 = 0,5 A ; V1 = 4 volt
V2 = V3 = V4 = 4 Volt
1/Rp1 = 1/8 + 1/16 + 1/16 = 1/4 ohm ; jadi Rp1 = 4 ohm
I1 = 4/4 = 1 Ampere = I5 = I seri 1
R seri 1 = 20 + 4 = 24 ohm
1/Rp2 = 1/9 + 1/18 = 1/6 ; jadi Rp2 = 6 ohm
R seri 2 = 6 + 6 = 12 ohm
I seri 1 : I seri 2 = 1/24 : 1/12 = 1 : 2
I seri 1 = 1/3 x I I seri 2 = 2/3 x 3
1 = 1/3 x I = 2 A
I = 3 A
V x a = Iseri 2 x Rp2
= 2 x 6 = 12 volt
20. -9 + 4 + I ( 4 + 0,5 + 0,5 ) x 0
-5 + 5 I = 0
I = 1 Ampee
V ac = sigma E + sigma I R
Va - Vc = -9 + 1 ( 4 + 0,5 )
Va - 0 = -9 + 4,5
Va = -4,5 Volt
