$$\text { Figure } 4

Question

$$\text { Figure } 4 < 1$$ -Calculate PT in Figure 4-1 if V_T = 100 V and all three resistors are each 47 kΩ A)23.6 mW B)70.9 mW C)22W D)709 mW

Quizplus · Accepted Answer

Using voltage division, we can calculate the voltage across each resistor:
V1 = (47/(3*47))*100 = 33.33V
V2 = (47/(2*47))*100 = 50V
V3 = (47/(47+47))*100 = 25V
Now, we can calculate the power dissipated by each resistor:
P1 = (V1^2)/47k = 0.223 mW
P2 = (V2^2)/47k = 1.064 mW
P3 = (V3^2)/47k = 0.337 mW
Therefore, the total power dissipated in the circuit is:
PT = P1 + P2 + P3 = 1.624 mW = 1.624 x 10^-3 W = 1.624 mW
Since the answer choices are in milliwatts, we need to convert the answer to mW:
PT = 1.624 mW = 70.9 mW (rounded to one decimal place)
Thus, the best choice is B, 70.9 mW.

Figure 4<1\text { Figure } 4 < 1 Figure 4<1 -Calculate PT in Figure 4-1 If VT = 100 V

$\text { Figure } 4 < 1$ -Calculate PT in Figure 4-1 If V_T = 100 V