Can you help me to solve these two problems?
MATLAB CODE
clear all
clc
% Question 1
q1=2;
q2=4;
q=-3;
x=[1 1 6]; % specify x coordiantes of all three charges Q1 Q2 Q
respectively
y=[4 1 3]; %specify y coordiantes of all three charges Q1 Q2 Q
respectively
r1=sqrt((x(3)-x(1))^2 + (y(3)-y(1))^2); %define r1
r2=sqrt((x(3)-x(2))^2 + (y(3)-y(2))^2); %define r2
r1_cap= [(x(3)-x(1))/r1 (y(3)-y(1))/r1]; %define r1_cap in terms of
i and j
r2_cap= [(x(3)-x(2))/r2 (y(3)-y(2))/r2];%define r2_cap in terms of
i and j
Fqq1=(9*10^(9)*q*q1/r1^2).*r1_cap; %Calculate Fqq1
Fqq2=(9*10^(9)*q*q2/r2^2).*r2_cap; %Calculate Fqq2
Fq=Fqq1+Fqq2; %Calculate net force
display(' Net force in i and j direction respectively')
Fq
display(' Magnitude of net Force on Q =-3C')
z=sqrt(Fq(1)^2 + Fq(2)^2)
display('Direction in i and j respectively')
Fq./abs(z)
MATLAB CODE
clear all
clc
% Question 2
q1=2;
q2=4;
x=[1 1 5]; % specify x coordiantes of all 2 charges and point Q1 Q2
P respectively
y=[4 1 1]; %specify y coordiantes of all 2 charges & point Q1
Q2 P respectively
r1=sqrt((x(3)-x(1))^2 + (y(3)-y(1))^2); %define r1
r2=sqrt((x(3)-x(2))^2 + (y(3)-y(2))^2); %define r2
r1_cap= [(x(3)-x(1))/r1 (y(3)-y(1))/r1]; %define r1_cap in terms of
i and j
r2_cap= [(x(3)-x(2))/r2 (y(3)-y(2))/r2];%define r2_cap in terms of
i and j
E1=(9*10^(9)*q1/r1^2).*r1_cap; %Calculate E1
E2=(9*10^(9)*q2/r2^2).*r2_cap; %Calculate E2
E=E1+E2; %Calculate net field
display(' Net Field in i and j direction respectively')
E
display(' Magnitude of net Field at P')
z=sqrt(E(1)^2 + E(2)^2)
display('Direction in i and j respectively ')
E./abs(z)
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