Three 100 ? resistors are connected as shown in Figure P28.11. The maximum power that can safely be delivered any one resistor is 29. 100? Figure P28.11 (a) What is the maximum voltage that can be applied to the terminals a and b? 78 (b) For the voltage determined in part (a), what is the power delivered in each resistor? resistor on the left 27.04 resistor at the top of the loop 6.76 resistor at the bottom of the loop 76 What is the total power delivered? 40.56 Solution (part a) Equivalent resistance = 100 + 50 = 150 Ohms Resistor with the highest power load will be the first one and that load will be I 2 *R, (maximum power) = (V/150) 2 * 100 28/100 = (V/150) 2 V 2 = (28*150*150/100) V = 79.3 V (part b) Current delivered = V/R I = 79.3/150 I = 0.53 Amps First resistor P = I 2 *R P left = 0.53 2 *100 = 28 Watts Second and third reisister P = (0.53/2) 2 *100 P top = 7 w P bottom = 7 w (part c) P = I*V P = 0.53* 79.3 = 42 W .

1. Three 100 ? resistors are connected as shown in Figure P28.11. The maximum power that can
safely be delivered any one resistor is 29. 100? Figure P28.11 (a) What is the maximum voltage
that can be applied to the terminals a and b? 78 (b) For the voltage determined in part (a), what is
the power delivered in each resistor? resistor on the left 27.04 resistor at the top of the loop 6.76
resistor at the bottom of the loop 76 What is the total power delivered? 40.56
Solution
(part a)
Equivalent resistance = 100 + 50 = 150 Ohms
Resistor with the highest power load will be the first one and that load will be I 2
*R,
(maximum power) = (V/150) 2
* 100
28/100 = (V/150) 2
V 2
= (28*150*150/100)
V = 79.3 V
(part b)
Current delivered = V/R
I = 79.3/150
I = 0.53 Amps
First resistor
P = I 2
*R
P left = 0.53 2
*100 = 28 Watts

2. Second and third reisister
P = (0.53/2) 2
*100
P top = 7 w
P bottom = 7 w
(part c)
P = I*V
P = 0.53* 79.3 = 42 W