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
(can someone me understand how to get the answer? )

Explanation:

Firstly, we are told the three resistors are connected in parallel, this means we have to use the following equation to find the total resistance of the circuit:

 (1)

Where: , ,

Solving (1):

 (2)

 (3)

 (4)  This is the total resistance of the circuit

On the other hand, the total power of this circuit is given by the following equation:

  (5)

Where is the total voltage of the circuit.

Solving:

  (6)

Finally:

  (7) This is the total power of the circuit in Watts (W)

what was the answer?