Acircuit 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

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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