a) What is the maximum voltage that can be applied to the terminals a and b ? __

Question

a) What is the maximum voltage that can be applied to the terminals a and b?

_______V

b) For the voltage determined in part (a), what is the power delivered to each resistor?

resistor on the left W resistor at top of loop W

resistor at bottom of loop _________w


C) What is the total power delivered?
_____W

Three 100 omega resistors are connected as shown in Figure P18.12. The maximum power that can safely be delivered to any one resistor is 28.0 W. a) What is the maximum voltage that can be applied to the terminals a and b? b) For the voltage determined in part (a), what is the power delivered to each resistor? C) What is the total power delivered?

Explanation / Answer

(a) The equivalent resistance is 150 Ohms. All of the current flows through the first resistor, and the current divides in half and flows through both of the resistors in parallel. Thus the resistor with the highest power load will be the first one and that load will be I2 R, and I will be the voltage applied divided by 150 Ohms. Thus we want 25 (maximum power) = (V/150)2 * 100. That gives V = 75 Volts. (b) The current delivered is V/R = 75/150 = 0.5 Amps. In the first resistor, using I2 R, the power is 0.52 100 = 25 Watts, in the other two it is (0.5/2)2 100 = 6.25 Watts. The sum is the total power, 25 + 6.25 + 6.25 = 37.5 Watts. This is also I*V = 0.5 Amps * 75 Volts.

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