KyDorsey
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A circuit contains three resistors connected in parallel. The value of R1 is 2 K , the value or R2 is 6 K , and the value of R3 is 10 K . If the supplied voltage is 100 VDC, what is the total power in the circuit?
         
A. 2.18 W
   
B. 8.18 W
   
C. 7.67 W
   
D. 4.24 W

Respuesta :

Yna9141
The value of total resistance of resistors connected in parallel is calculated through the equation,
      
                      R = 1 / (1/R1 + 1/R2 + 1/R3 + 1/Rn)

Substituting the known values,

                     R = 1 / (1/2 + 1/6 + 1/10)
                           R = 30/23 ohms

The formula for power with the use of resistance and voltage is,

                         P = V² / R

Substituting,
                         P = (100 V)² / (30/23 ohms)
                         P = 7.67 kW

Thus, the answer to this item is letter C.  

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