Tugas Metode Numerik_08121002035

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Nama : Nita Susanti NIM : 08121002035 Tugas Metode Numerik Penyelesaian: Diketahui : R = 280 ohm t= 0.05 s L = 7.5 H f ( C )=e RT/ 2L cos [ 1 L ( C ) ( R 2 L ) 2 ( t ) ] 0.01 f ( C )=e 280( 0. 05 )/( 2(7.5 )) cos [ 1 7.5( C ) ( 280 2 ( 7.5 ) ) 2 ( 0.05 ) ] 0.01 f ( C )=e 0.933 cos [ 1 7.5 ( C ) 384.444 ( 0.05 ) ] 0.01 f ( C )=0.39cos [ 1 7.5 ( C ) 18.666 ( 0.05 ) ] 0.01 f ( C )=0.39cos [ 1 7.5 ( C ) 0.933 ] 0.01

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Transcript of Tugas Metode Numerik_08121002035

Page 1: Tugas Metode Numerik_08121002035

Nama : Nita Susanti

NIM : 08121002035

Tugas Metode Numerik

Penyelesaian:Diketahui :R = 280 ohmt= 0.05 sL = 7.5 H

f (C )=e−RT /2Lcos[√ 1L(C )

−( R2 L )2

( t )]−0 .01f (C )=e−280(0.05 )/(2(7 .5) )cos[√ 1

7 .5(C )−(2802(7 .5) )

2

(0 .05)]−0 .01f (C )=e−0 .933cos [√ 1

7 .5(C )−384 .444 (0 .05 )]−0 .01

f (C )=0 .39cos[√ 17 .5(C )

−18 .666 (0 .05 )]−0 .01f (C )=0 .39cos[√ 1

7 .5(C )−0 .933]−0 .01

Page 2: Tugas Metode Numerik_08121002035

0 .01=0 .39cos[√ 17 .5(C )

−0 .933]0 .010 .39

=cos [√ 17 .5(C )

−0 .933]0 .025=cos√ 1

7 .5(C )−cos( 0.933 )

0 .025=cos√ 17 .5(C )

−0 .999

0 .025+0 .999=cos√ 17 .5(C )

1 .024=cos√ 17 .5(C )

(1.024 )2=cos 17 .5C

1 .048576=cos1cos7 .5C

1 .048576= 10 .99C

0 .99C= 11 .048576

C= 11.048576(0 .99 )

C= 11.03809024

C=0.96 ≈1

Maka didapatkan nilai C adalah 1