Question

In the circuit shown in figure-8, For what value of ‘R’ is the power dissipated in ‘R’ maximum? Calculate that power.

| 8 In the circuit shown in figure-8, For what value of 'R' is the power dissipated in 'R' maximum? Calculate that power. 362 1292 382 Figure-8

Answer 1

Solution 362 42} JOV 3 or 122 § For finding maximum power- tranferred to R, and value of R for his maximum power- tranferred, first we have to determine the venin's equivalent circuit across terminal ab. is for Rtn. - Voltage source is shooted Ri=403 ²62=R2 R3 =122 } $8n=Ru R, and Rz are in parelled: Ri= RIRE • RHR2 = 6x4 , 2.4.2 Again Rs and Ry are in parallel; R2= RJ Ry - 1288 Ritry 12 + 8 = 4.8r.

R,' and Rz are in =20402 ... 4.802 serici Rab= Rin = Ritra! = 2040+ 4.80 ob = 7.2011 in for the acron ab pt 42 § vm 6 Jovt mt 그 Jorolt 1225 ob ob Apply kcc at noche-O; V tot VI 20 = V(***) - 5 Vi= 18 Volts Apple KCL at noche -(2) w Voice + V2-30 =0 V [1 +] = leven » V2 = 1200lt Vab= V - V₂ = V =(18-12) V = 6 Volts

Thevenin'e Equivalent circuit argroue ab Rh no 7:202=Rth ER ² (6 6Volt EVTS By - maximum Power tranfer theorem, To frare fer maximum bower to R; [R=Rth [R = 7.2007 In mat: case: UM 7- 202 . 6v (*) GTH i år mum & R=7.2or I = 6 - 7.20+7-26 = Ampered 3. Powen troreferred to R PR = Z² XR = (51?x 7-20 = 1.25 watts - Maximum power transferred at R=7.202 and its value is 1.25 watts.