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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
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+//r1 be the variable resistance
+X=10//total inductive reactance of circuit
+V=200//rms value of applied voltage
+//RMS value of current I=200/sqrt((2+r1)^2+10^2)
+//power consumed is P=I^2*r1
+//For max power, dP/dr=0
+//on solving
+r1=sqrt(104)
+mprintf("Value of variable resistor at the instant of max power consumed in it is %f ohm\n",r1)
+//solving part(ii), let r2 be the variable resistance-I=200/sqrt((200+r2)^2+10^2),P=I^2*(2+r2)
+//for max power, dP/dr=0
+//on solving
+r2=10-2
+mprintf("Value of variable resistor=%d ohm for the condition of max power consumed by the circuit\n",round(r2))
+I1=200/sqrt((2+r1)^2+10^2)
+I2=200/sqrt((2+r2)^2+10^2)
+pf1=(2+r1)/sqrt((2+r1)^2+10^2)
+pf2=(2+r2)/sqrt((2+r2)^2+10^2)
+mprintf("Current in case(i)=%f A at %f pf lagging\nCurrent in case(ii)=%f A at %f pf lagging\n",I1,pf1,I2,pf2)