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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
commit7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch)
treedbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /620/CH26
parentb1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff)
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Diffstat (limited to '620/CH26')
-rw-r--r--620/CH26/EX26.1/example26_1.sce4
-rw-r--r--620/CH26/EX26.1/example26_1.txtbin0 -> 132 bytes
-rw-r--r--620/CH26/EX26.10/example26_10.sce31
-rw-r--r--620/CH26/EX26.10/example26_10.txtbin0 -> 1038 bytes
-rw-r--r--620/CH26/EX26.11/example26_11.sce6
-rw-r--r--620/CH26/EX26.11/example26_11.txt4
-rw-r--r--620/CH26/EX26.12/example26_12.sce19
-rw-r--r--620/CH26/EX26.12/example26_12.txt29
-rw-r--r--620/CH26/EX26.13/example26_13.sce9
-rw-r--r--620/CH26/EX26.13/example26_13.txt13
-rw-r--r--620/CH26/EX26.14/example26_14.sce36
-rw-r--r--620/CH26/EX26.14/example26_14.txtbin0 -> 1244 bytes
-rw-r--r--620/CH26/EX26.15/example26_15.sce7
-rw-r--r--620/CH26/EX26.15/example26_15.txt3
-rw-r--r--620/CH26/EX26.16/example26_16.sce22
-rw-r--r--620/CH26/EX26.16/example26_16.txtbin0 -> 710 bytes
-rw-r--r--620/CH26/EX26.17/example26_17.sce19
-rw-r--r--620/CH26/EX26.17/example26_17.txtbin0 -> 708 bytes
-rw-r--r--620/CH26/EX26.18/example26_18.sce34
-rw-r--r--620/CH26/EX26.18/example26_18.txtbin0 -> 548 bytes
-rw-r--r--620/CH26/EX26.2/example26_2.sce5
-rw-r--r--620/CH26/EX26.2/example26_2.txtbin0 -> 132 bytes
-rw-r--r--620/CH26/EX26.3/example26_3.sce6
-rw-r--r--620/CH26/EX26.3/example26_3.txtbin0 -> 94 bytes
-rw-r--r--620/CH26/EX26.4/example26_4.sce6
-rw-r--r--620/CH26/EX26.4/example26_4.txt3
-rw-r--r--620/CH26/EX26.5/example26_5.sce9
-rw-r--r--620/CH26/EX26.5/example26_5.txt4
-rw-r--r--620/CH26/EX26.6/example26_6.sce12
-rw-r--r--620/CH26/EX26.6/example26_6.txt18
-rw-r--r--620/CH26/EX26.7/example26_7.sce10
-rw-r--r--620/CH26/EX26.7/example26_7.txt11
-rw-r--r--620/CH26/EX26.8/example26_8.sce15
-rw-r--r--620/CH26/EX26.8/example26_8.txt21
-rw-r--r--620/CH26/EX26.9/example26_9.sce22
-rw-r--r--620/CH26/EX26.9/example26_9.txt22
36 files changed, 400 insertions, 0 deletions
diff --git a/620/CH26/EX26.1/example26_1.sce b/620/CH26/EX26.1/example26_1.sce
new file mode 100644
index 000000000..dac540e17
--- /dev/null
+++ b/620/CH26/EX26.1/example26_1.sce
@@ -0,0 +1,4 @@
+p=50;
+i=1.5;
+r=p/i^2;
+disp("the resistance (in Ω) of the AC circuit is"); disp(r); \ No newline at end of file
diff --git a/620/CH26/EX26.1/example26_1.txt b/620/CH26/EX26.1/example26_1.txt
new file mode 100644
index 000000000..55468841b
--- /dev/null
+++ b/620/CH26/EX26.1/example26_1.txt
Binary files differ
diff --git a/620/CH26/EX26.10/example26_10.sce b/620/CH26/EX26.10/example26_10.sce
new file mode 100644
index 000000000..6bc679e09
--- /dev/null
+++ b/620/CH26/EX26.10/example26_10.sce
@@ -0,0 +1,31 @@
+v=12;
+f=60;
+i=0.05;
+p=0.1;
+disp("Part a");
+v1=24;
+z=v/i;
+rl=p/i^2;
+x_l=sqrt(z^2-rl^2);
+z1=v1/i;
+r=sqrt(z1^2-x_l^2)-rl;
+pr=i^2*r;
+disp("the series resistor has a value (in Ω) of"); disp(r);
+disp("power dissipation (in W) is");disp(pr);
+disp("Part b");
+x_c=sqrt(z1^2-rl^2)+x_l;
+c=1/(2*%pi*f*x_c);
+disp("the size of series cpacitor (in μF) is");disp(c*10^6);
+disp("Part c");
+v2=120;
+z2=v2/i;
+x_c2=sqrt(z2^2-rl^2)+x_l;
+c2=1/(2*%pi*f*x_c2);
+disp("the size of the series capacitor (in μF) is"); disp(c2*10^6);
+vc=i*x_c2;
+disp("voltage (in V) across the capacitor is"); disp(vc);
+disp("Part d");
+r2=sqrt(z2^2-x_l^2)-rl;
+disp("the size of the series resistor (in Ω) is"); disp(r2);
+p2=i^2*r2;
+disp("power dissipation (in W) is"); disp(p2); \ No newline at end of file
diff --git a/620/CH26/EX26.10/example26_10.txt b/620/CH26/EX26.10/example26_10.txt
new file mode 100644
index 000000000..190923ec0
--- /dev/null
+++ b/620/CH26/EX26.10/example26_10.txt
Binary files differ
diff --git a/620/CH26/EX26.11/example26_11.sce b/620/CH26/EX26.11/example26_11.sce
new file mode 100644
index 000000000..973a18980
--- /dev/null
+++ b/620/CH26/EX26.11/example26_11.sce
@@ -0,0 +1,6 @@
+p=1000;
+v=250;
+i=5;
+s=v*i;
+pf=p/s;
+disp("power factor is"); disp(pf); \ No newline at end of file
diff --git a/620/CH26/EX26.11/example26_11.txt b/620/CH26/EX26.11/example26_11.txt
new file mode 100644
index 000000000..bb3f4b720
--- /dev/null
+++ b/620/CH26/EX26.11/example26_11.txt
@@ -0,0 +1,4 @@
+ power factor is
+
+ 0.8
+ \ No newline at end of file
diff --git a/620/CH26/EX26.12/example26_12.sce b/620/CH26/EX26.12/example26_12.sce
new file mode 100644
index 000000000..f1c2ced25
--- /dev/null
+++ b/620/CH26/EX26.12/example26_12.sce
@@ -0,0 +1,19 @@
+deg=41*%pi/180;
+v=240;
+i=6;
+p_out=746;
+disp("Part a");
+pf=cos(deg);
+disp("power factor of the motor is"); disp(pf);
+disp("Part b");
+s=v*i;
+disp("apparent power (in VA) is"); disp(s);
+disp("Part c");
+p=v*i*pf;
+disp("true power (in W) is");disp(p);
+disp("Part d");
+q=v*i*sin(deg);
+disp("reactive power (in VAr) is"); disp(q);
+disp("Part d");
+eff=p_out*100/p;
+disp("the effieciency (in %) of the motor is"); disp(eff); \ No newline at end of file
diff --git a/620/CH26/EX26.12/example26_12.txt b/620/CH26/EX26.12/example26_12.txt
new file mode 100644
index 000000000..6a0aa3202
--- /dev/null
+++ b/620/CH26/EX26.12/example26_12.txt
@@ -0,0 +1,29 @@
+Part a
+
+ power factor of the motor is
+
+ 0.7547096
+
+ Part b
+
+ apparent power (in VA) is
+
+ 1440.
+
+ Part c
+
+ true power (in W) is
+
+ 1086.7818
+
+ Part d
+
+ reactive power (in VAr) is
+
+ 944.725
+
+ Part d
+
+ the effieciency (in %) of the motor is
+
+ 68.643034 \ No newline at end of file
diff --git a/620/CH26/EX26.13/example26_13.sce b/620/CH26/EX26.13/example26_13.sce
new file mode 100644
index 000000000..5d16d7208
--- /dev/null
+++ b/620/CH26/EX26.13/example26_13.sce
@@ -0,0 +1,9 @@
+p=300;
+q=115;
+s=321;
+disp("Part a");
+pf=p/s;
+disp("power factor of the combination is"); disp(pf);disp("lagging");
+disp("Part b");
+deg=acos(pf)*180/%pi;
+disp("the phase angle (in deg) between the applied voltage and current is"); disp(deg); \ No newline at end of file
diff --git a/620/CH26/EX26.13/example26_13.txt b/620/CH26/EX26.13/example26_13.txt
new file mode 100644
index 000000000..c382ce644
--- /dev/null
+++ b/620/CH26/EX26.13/example26_13.txt
@@ -0,0 +1,13 @@
+Part a
+
+ power factor of the combination is
+
+ 0.9345794
+
+ lagging
+
+ Part b
+
+ the phase angle (in deg) between the applied voltage and current is
+
+ 20.839694 \ No newline at end of file
diff --git a/620/CH26/EX26.14/example26_14.sce b/620/CH26/EX26.14/example26_14.sce
new file mode 100644
index 000000000..1f046eded
--- /dev/null
+++ b/620/CH26/EX26.14/example26_14.sce
@@ -0,0 +1,36 @@
+p=15;
+rl=200;
+rb=80;
+l=0.9;
+v=120;
+f=60;
+disp("Part a");
+r=rb+rl;
+x_l=2*%pi*f*l;
+z=sqrt(x_l^2+r^2);
+i=v/z;
+disp("current drawn (in A) by the lamp is"); disp(i);
+disp("Part b");
+s=v*i;
+disp("apparent power (in VA) is"); disp(s);
+disp("Part c");
+pl=i^2*rl;
+disp("power (in W) in the fluorescent lamp is"); disp(pl);
+disp("Part d");
+pb=i^2*rb;
+disp("power (in W) in the ballast is");disp(pb);
+disp("Part e");
+pf=p/s;
+disp("overall power factor is"); disp(pf);
+disp("Part f");
+deg=acos(pf);
+q=v*i*sin(deg);
+disp("the reactive power (in VAr) is"); disp(q);
+disp("Part g");
+x_c=v^2/q;
+c=1/(2*%pi*f*x_c);
+disp("the size of the capacitor (in μF) is"); disp(c*10^6);
+disp("Part h");
+p1=pl+pb;
+i1=p1/v;
+disp("current drawn (in A) after power factor correction is"); disp(i1); \ No newline at end of file
diff --git a/620/CH26/EX26.14/example26_14.txt b/620/CH26/EX26.14/example26_14.txt
new file mode 100644
index 000000000..e49a2ecb6
--- /dev/null
+++ b/620/CH26/EX26.14/example26_14.txt
Binary files differ
diff --git a/620/CH26/EX26.15/example26_15.sce b/620/CH26/EX26.15/example26_15.sce
new file mode 100644
index 000000000..c3b8dc23b
--- /dev/null
+++ b/620/CH26/EX26.15/example26_15.sce
@@ -0,0 +1,7 @@
+p1=432;
+p2=1092;
+i=2.5;
+v=440;
+p=p1+p2;
+pf=p/(sqrt(3)*v*i);
+disp("power factor of the motor is"); disp(pf); \ No newline at end of file
diff --git a/620/CH26/EX26.15/example26_15.txt b/620/CH26/EX26.15/example26_15.txt
new file mode 100644
index 000000000..4329fe074
--- /dev/null
+++ b/620/CH26/EX26.15/example26_15.txt
@@ -0,0 +1,3 @@
+ power factor of the motor is
+
+ 0.7998926 \ No newline at end of file
diff --git a/620/CH26/EX26.16/example26_16.sce b/620/CH26/EX26.16/example26_16.sce
new file mode 100644
index 000000000..5807f9af1
--- /dev/null
+++ b/620/CH26/EX26.16/example26_16.sce
@@ -0,0 +1,22 @@
+v=10;
+f=60;
+r=10;
+l1=0.01;
+l2=0.05;
+disp("Part a");
+disp("resistance (in Ω) of the coil for maximum power transfer is"); disp(r);
+disp("Part b");
+l=l1+l2;
+x_c=2*%pi*f*l;
+c=1/(2*%pi*f*x_c);
+disp("the size of the capacitor (in μF) is"); disp(c*10^6);
+disp("Part c");
+z1=2*r;
+i=v/z1;
+p=i^2*r;
+disp("power delivered (in W) to the coil is"); disp(p);
+disp("Part d");
+z=sqrt(z1^2+x_c^2);
+i1=v/z;
+pr=i1^2*r;
+disp("Power dlivered (in W) to the col without the capacitor is"); disp(pr); \ No newline at end of file
diff --git a/620/CH26/EX26.16/example26_16.txt b/620/CH26/EX26.16/example26_16.txt
new file mode 100644
index 000000000..8a654bef3
--- /dev/null
+++ b/620/CH26/EX26.16/example26_16.txt
Binary files differ
diff --git a/620/CH26/EX26.17/example26_17.sce b/620/CH26/EX26.17/example26_17.sce
new file mode 100644
index 000000000..ca978bc07
--- /dev/null
+++ b/620/CH26/EX26.17/example26_17.sce
@@ -0,0 +1,19 @@
+m_v=100;
+deg_v=10;
+z=5+%i*8.66;
+disp("Part a");
+m_z=sqrt(real(z)^2+imag(z)^2);
+deg_z=atan(imag(z)/real(z))*180/%pi;
+m_i=m_v/m_z;
+deg_i=-(deg_v-deg_z);
+m_p=m_v*m_i;
+deg_p=deg_i+deg_v;
+disp("the complex power (in VA) has a magnitude of") ; disp(m_p);
+disp("with a phase angle (in deg) of"); disp(deg_p);
+disp("apparent power (in VA) is"); disp(m_p);
+disp("power factor is");disp(cos(deg_p*%pi/180));
+disp("Part b");
+p=m_p*cos(deg_p*%pi/180);
+q=m_p*sin(deg_p*%pi/180);
+disp("true power (in W) is"); disp(p);
+disp("reactive power (in VAr) is"); disp(q); \ No newline at end of file
diff --git a/620/CH26/EX26.17/example26_17.txt b/620/CH26/EX26.17/example26_17.txt
new file mode 100644
index 000000000..ad2a578a7
--- /dev/null
+++ b/620/CH26/EX26.17/example26_17.txt
Binary files differ
diff --git a/620/CH26/EX26.18/example26_18.sce b/620/CH26/EX26.18/example26_18.sce
new file mode 100644
index 000000000..560cbfee8
--- /dev/null
+++ b/620/CH26/EX26.18/example26_18.sce
@@ -0,0 +1,34 @@
+m_v=230;
+f=60;
+p_out=1.5*746;
+pf=0.8;
+eff=0.75;
+disp("Part a");
+p_in=p_out/eff;
+m_i1=p_in/(m_v*pf);
+deg_i1=acos(pf);
+m_p1=m_v*m_i1;
+deg_v=0;
+deg_p1=deg_v+deg_i1*180/%pi;
+p1=m_p1*(cos(deg_p1*%pi/180)+%i*sin(deg_p1*%pi/180));
+p=real(p1);
+p2=p-p1;
+qc=-imag(p2);
+x_c=m_v^2/qc;
+c=1/(2*%pi*f*x_c);
+disp("the size of the capacitor (in μF) is"); disp(c*10^6);
+i2=p/m_v;
+disp("the new in-line current (in A) is"); disp(i2);
+disp("Part b");
+pf0=0.95;
+m_i20=p/(m_v*pf0);
+disp("the new in-line current (in A) is"); disp(m_i20);
+deg_i20=acos(0.95);
+m_p0=m_v*m_i20;
+deg_p0=deg_v+deg_i20;
+p0=m_p0*(cos(deg_p0)+%i*sin(deg_p0));
+p20=p0-p1;
+q0=-imag(p20);
+x_c0=m_v^2/q0;
+c0=1/(2*%pi*f*x_c0);
+disp("size of the capacitor (in μ) is"); disp(c0*10^6); \ No newline at end of file
diff --git a/620/CH26/EX26.18/example26_18.txt b/620/CH26/EX26.18/example26_18.txt
new file mode 100644
index 000000000..1561f791a
--- /dev/null
+++ b/620/CH26/EX26.18/example26_18.txt
Binary files differ
diff --git a/620/CH26/EX26.2/example26_2.sce b/620/CH26/EX26.2/example26_2.sce
new file mode 100644
index 000000000..380ffb6c9
--- /dev/null
+++ b/620/CH26/EX26.2/example26_2.sce
@@ -0,0 +1,5 @@
+l=4;
+i=1.4;
+f=60;
+p=i^2*2*%pi*f*l;
+disp("reactive power (in kVAr) of the circuit is"); disp(p*10^(-3)); \ No newline at end of file
diff --git a/620/CH26/EX26.2/example26_2.txt b/620/CH26/EX26.2/example26_2.txt
new file mode 100644
index 000000000..cc2472aa2
--- /dev/null
+++ b/620/CH26/EX26.2/example26_2.txt
Binary files differ
diff --git a/620/CH26/EX26.3/example26_3.sce b/620/CH26/EX26.3/example26_3.sce
new file mode 100644
index 000000000..b1298e660
--- /dev/null
+++ b/620/CH26/EX26.3/example26_3.sce
@@ -0,0 +1,6 @@
+p=100;
+c=10*10^(-6);
+i=0.87;
+x_c=p/i^2;
+f=1/(2*%pi*x_c*c);
+disp("the frequency (in Hz) is"); disp(f); \ No newline at end of file
diff --git a/620/CH26/EX26.3/example26_3.txt b/620/CH26/EX26.3/example26_3.txt
new file mode 100644
index 000000000..12a3c7be0
--- /dev/null
+++ b/620/CH26/EX26.3/example26_3.txt
Binary files differ
diff --git a/620/CH26/EX26.4/example26_4.sce b/620/CH26/EX26.4/example26_4.sce
new file mode 100644
index 000000000..ce7c3264f
--- /dev/null
+++ b/620/CH26/EX26.4/example26_4.sce
@@ -0,0 +1,6 @@
+i=2.6;
+r=300;
+x_l=400;
+z=sqrt(r^2+x_l^2);
+p=i^2*z;
+disp("the apparent power drawn (in kVA) by the circuit is"); disp(p*10^(-3)); \ No newline at end of file
diff --git a/620/CH26/EX26.4/example26_4.txt b/620/CH26/EX26.4/example26_4.txt
new file mode 100644
index 000000000..805b9bd3a
--- /dev/null
+++ b/620/CH26/EX26.4/example26_4.txt
@@ -0,0 +1,3 @@
+the apparent power drawn (in kVA) by the circuit is
+
+ 3.38 \ No newline at end of file
diff --git a/620/CH26/EX26.5/example26_5.sce b/620/CH26/EX26.5/example26_5.sce
new file mode 100644
index 000000000..b023cde32
--- /dev/null
+++ b/620/CH26/EX26.5/example26_5.sce
@@ -0,0 +1,9 @@
+v=120;
+f=60;
+i=5;
+p=525;
+z=v/i;
+r=p/i^2;
+x_l=sqrt(z^2-r^2);
+l=x_l/(2*%pi*f);
+disp("the inductance (in mH) of the coil is"); disp(l*10^3); \ No newline at end of file
diff --git a/620/CH26/EX26.5/example26_5.txt b/620/CH26/EX26.5/example26_5.txt
new file mode 100644
index 000000000..bc2b303ae
--- /dev/null
+++ b/620/CH26/EX26.5/example26_5.txt
@@ -0,0 +1,4 @@
+
+ the inductance (in mH) of the coil is
+
+ 30.820222 \ No newline at end of file
diff --git a/620/CH26/EX26.6/example26_6.sce b/620/CH26/EX26.6/example26_6.sce
new file mode 100644
index 000000000..c7e0ba859
--- /dev/null
+++ b/620/CH26/EX26.6/example26_6.sce
@@ -0,0 +1,12 @@
+r=300;
+x_l=400;
+i=2.6;
+disp("Part a");
+p=i^2*r;
+disp("the true power (in W) is"); disp(p);
+disp("Part b");
+q=i^2*x_l;
+disp("the inductive reactive power (in VAr) is"); disp(q);
+disp("Part c");
+s=sqrt(p^2+q^2);
+disp("the apparent power (in kVA) is"); disp(s*10^(-3));
diff --git a/620/CH26/EX26.6/example26_6.txt b/620/CH26/EX26.6/example26_6.txt
new file mode 100644
index 000000000..44908fe33
--- /dev/null
+++ b/620/CH26/EX26.6/example26_6.txt
@@ -0,0 +1,18 @@
+
+ Part a
+
+ the true power (in W) is
+
+ 2028.
+
+ Part b
+
+ the inductive reactive power (in VAr) is
+
+ 2704.
+
+ Part c
+
+ the apparent power (in kVA) is
+
+ 3.38 \ No newline at end of file
diff --git a/620/CH26/EX26.7/example26_7.sce b/620/CH26/EX26.7/example26_7.sce
new file mode 100644
index 000000000..31454cd1c
--- /dev/null
+++ b/620/CH26/EX26.7/example26_7.sce
@@ -0,0 +1,10 @@
+v=120;
+f=60;
+i=5;
+p=525;
+disp("Part a");
+s=i*v;
+disp("the apparent power (in VA) is"); disp(s);
+disp("Part b");
+q=sqrt(s^2-p^2);
+disp("the reactive power (in VAr) is"); disp(q); \ No newline at end of file
diff --git a/620/CH26/EX26.7/example26_7.txt b/620/CH26/EX26.7/example26_7.txt
new file mode 100644
index 000000000..c2b126acb
--- /dev/null
+++ b/620/CH26/EX26.7/example26_7.txt
@@ -0,0 +1,11 @@
+ Part a
+
+ the apparent power (in VA) is
+
+ 600.
+
+ Part b
+
+ the reactive power (in VAr) is
+
+ 290.47375 \ No newline at end of file
diff --git a/620/CH26/EX26.8/example26_8.sce b/620/CH26/EX26.8/example26_8.sce
new file mode 100644
index 000000000..43ed4c2b0
--- /dev/null
+++ b/620/CH26/EX26.8/example26_8.sce
@@ -0,0 +1,15 @@
+r=300;
+x_l=400;
+v=120;
+f=60;
+disp("Part a");
+p=v^2/r;
+disp("the true power (in W) is"); disp(p);
+disp("Part b");
+q=v^2/x_l;
+disp("the reactive power (in VAr) is"); disp(q);
+disp("Part c");
+s=sqrt(p^2+q^2);
+disp("the apparent power (in VA) is"); disp(s);
+i=s/v;
+disp("the current drawn (in A) from the supply is"); disp(i); \ No newline at end of file
diff --git a/620/CH26/EX26.8/example26_8.txt b/620/CH26/EX26.8/example26_8.txt
new file mode 100644
index 000000000..0454bcaaa
--- /dev/null
+++ b/620/CH26/EX26.8/example26_8.txt
@@ -0,0 +1,21 @@
+Part a
+
+ the true power (in W) is
+
+ 48.
+
+ Part b
+
+ the reactive power (in VAr) is
+
+ 36.
+
+ Part c
+
+ the apparent power (in VA) is
+
+ 60.
+
+ the current drawn (in A) from the supply is
+
+ 0.5 \ No newline at end of file
diff --git a/620/CH26/EX26.9/example26_9.sce b/620/CH26/EX26.9/example26_9.sce
new file mode 100644
index 000000000..a469c4cc8
--- /dev/null
+++ b/620/CH26/EX26.9/example26_9.sce
@@ -0,0 +1,22 @@
+c=12*10^(-6);
+v=240;
+f=60;
+l=0.25;
+r=75;
+disp("Part a");
+x_l=2*%pi*f*l;
+z=sqrt(r^2+x_l^2);
+i=v/z;
+p=i^2*r;
+disp("the true power (in W)is"); disp(p);
+disp("Part b");
+x_c=1/(2*%pi*f*c);
+q_c=v^2/x_c;
+q_l=i^2*x_l;
+q=q_l-q_c;
+disp("the reactive power (in VAr) is");disp(q);
+disp("Part c");
+s=sqrt(p^2+q^2);
+disp("the apparent power (in VA) is"); disp(s);
+i1=s/v;
+disp("the total line current (in A) is"); disp(i1); \ No newline at end of file
diff --git a/620/CH26/EX26.9/example26_9.txt b/620/CH26/EX26.9/example26_9.txt
new file mode 100644
index 000000000..3de79ec16
--- /dev/null
+++ b/620/CH26/EX26.9/example26_9.txt
@@ -0,0 +1,22 @@
+Part a
+
+ the true power (in W)is
+
+ 297.77406
+
+ Part b
+
+ the reactive power (in VAr) is
+
+ 113.61765
+
+ Part c
+
+ the apparent power (in VA) is
+
+ 318.7136
+
+ the total line current (in A) is
+
+ 1.3279733
+ \ No newline at end of file