plot the equation graph

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shiv gaur
shiv gaur 2021-8-30
评论： shiv gaur 2021-9-25
how to plot graph V vs x
equation is
V*sqrt(1-x)=m*pi+atan((x)/(1-x))+atan((a+x)/(1-x))
taking V=1:10
m=0
a=1;
then plot V vs x
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shiv gaur
shiv gaur 2021-8-30
sorry for inconviniennce but graph is not showing exact value on page 63 fig 3.14 for a=10 the answer is not showing as shown in fig equation 3,44 sorry again for again

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回答（1 个）

Wan Ji
Wan Ji 2021-8-30
Hi,
It is not neccessary to solve this equation
x = 0:0.00001:1;
f = @(x,m,a)(m*pi+atan((x)/(1-x))+atan((a+x)/(1-x)))./sqrt(1-x);
m = [0,1,2];
a = [0,10,1e15];
V1 = f(x,m(1),a(1));
V2 = f(x,m(1),a(2));
V3 = f(x,m(1),a(3));
plot(V1,x)
hold on
plot(V2,x)
plot(V3,x)
V1 = f(x,m(2),a(1));
V2 = f(x,m(2),a(2));
V3 = f(x,m(2),a(3));
plot(V1,x)
hold on
plot(V2,x)
plot(V3,x)
V1 = f(x,m(3),a(1));
V2 = f(x,m(3),a(2));
V3 = f(x,m(3),a(3));
plot(V1,x)
hold on
plot(V2,x)
h = plot(V3,x);
axis([0, 15, 0, 1.1])
grid on
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Wan Ji
Wan Ji 2021-8-30
you can change x0,x1 and x2 to get more roots if there are
shiv gaur
shiv gaur 2021-9-25
Mj=[cos (kj hj) i*sin(kj hj) /kj ; i*kj*sin(kj hj) cos (kj hj) ];
kj=sqrt(nj2*k02-x2);
Take n1=1.521;n2=2.66;k0=1;h1=1.5e-6;h2=1e-6
We take M=M1*M2;
Where M=( m11 m12;m21 m22) as usual in
Matrix;
How to multiply this matrix for M find the multiplication of matrix and find the value of
x;
and solve the eq
ns=1.512;
nc=1.2-i7;
gs=x2-ns2k02;
gc= x2-ns2k02;
f(x)=igsm11+gcm22)-m21+gsgcm12;
and solve the eq and value of x

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