s 20 points total The power dissipated by a calculations by

s. (20 points total) The power dissipated by a calculations by using simple direct current You have an electric heater a 120 a)(6 pts) The heater delivers J0 kilowatt of power diagran e an electring simple dough youted by a resistor is in the form of heat. This diagram below resistor is in the for c homes use alternating current, we will simplify the consisting of a 120 V battery and a resistor connected as shown in the value of the resistor? A kilowatt of power from the resistor heating element. What is the p- (b) (6 pts) You want to produc battery to produce the following circuit. How much power does this arrangement dissipate? e more heat, so you get a second identical resistor, and use the same c (6 pts) You now take the same battery and the same two resistors, and onnect them as follows. How much power is dissipated by the arrangement now? d) (2 pts) Which arrangement (b) or (c) has the resistors in series? a) (3 pts) Which circut from the previous problem (a).(b) or (c) requires the battery to produce the most current? 3 of 6

Solution

(A) P = V^2 / R

1000 = 120^2 / R

R = 14.4 ohm

(b) Req = R R / (R + R) = R/2 = 7.2 A

P = 120^2 / 7.2

P = 2000 W or 2 kW

(c) Req = R + R = 2 R

P = 500 W Or 0.50 kW

(d) c is in series.