Four resistors are connected to a battery with a terminal voltage of 12 V, as sh

Question

Four resistors are connected to a battery with a terminal voltage of 12 V, as shown in the figure below. (Assume R1 = 39.0 ? and R2 = 73.0 ?.)

(a) How would you reduce the circuit to an equivalent single resistor connected to the battery? Use this procedure to find the equivalent resistance of the circuit.
?

(b) Find the current delivered by the battery to this equivalent resistance.
A

(c) Determine the power delivered by the battery.
W

(d) Determine the power delivered to the 50.0-? resistor.
W

Explanation / Answer

a)

1/Rtot = 1/20 + 1/R2 + 1/(R1+50)

1/Rtot = (1/20)+(1/73)+(1/89)

Rtot = 13.34 ohms <-----answer

b) i = e/Rtot = 12/13.34 = 0.899 A    <----answer

c) P = e*I = 10.788 W         <----answer

d) i = 12/89 = 0.135 A        <----answer

P = i^2*R = 0.135*0.135*50 = 0.91125 Watts <----answer

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