FIGURE 1 shows a 50 ? load being fed from two voltage sources via their associated reactance’s....

Question

FIGURE 1 shows a 50 ? load being fed from two voltage sources via their associated reactance’s. Determine the current i flowing in the load by: 	By applying the Superposition Theorem:  v1 = 2 ×415cos(100pt ) voltsV2 = 2 ×415sin (100pt ) volts
	
Document Preview: FIGURE 1 shows a 50 ? load being fed from two voltage sources via their associated reactance’s. Determine the current i flowing in the load by: By applying the Superposition Theorem: v1 = 2 ×415cos(100pt ) voltsV2 = 2 ×415sin (100pt ) volts

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FIGURE 1 shows a 50 Ω load being fed from two voltage sources via their associated 
reactance’s. Determine the current i flowing in the load by:
 By applying the Superposition Theorem:
v1 = 2 ×415cos(100πt ) volts 
V2 = 2 ×415sin (100πt ) volt 
Solution: 
From the given circuit  
The source voltages 1v  and 2v  are, 
 
 
1
2
v 2 415cos 100 t Volts
v 2 415sin 100 t Volts


 
 
 
Power factor at the load is , 
 1
cos 0.7
cos 0.7
45.573 lagging






 
 
Compute the load impedance of the circuit 
 
 
L
L
L
L
Z 50 cos jsin
Z 50 cos 45.573 jsin 45.573
Z 50
Z 50 45.573
  
  

   
 
Apply the Superposition Theorem principle, calculate the current ‘i’ flowing through 50 
ohms Load by acting any one source alone. 
The current through the load LZ  is, 
1 2i i i   
When source 2v  is active, and source 1v  is short circuited, 
The circuit is shown in the figure below: 
 
At node A, the current 2i  through load LZ  
is,

FIGURE 1 shows a 50 ? load being fed from two voltage sources via their associated reactance’s. Determine the current i flowing in the load by: By applying the Superposition Theorem: v1 = 2...

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