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 R_1 = 25.0 ohm and R_2 = 89.0 ohm.) (a) How would you reduce the circuit to an equivalent single resistor connected to the battery? Use this procedure se to find the equivalent resistance of the circuit. ______ ohm (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-ohm resistor. _______ W

Explanation / Answer

R1 = 25 ohms , R2 = 89 ohm, R3 = 50 ohm , R4 = 29 ohm

V = 12 V

(a) in series combination R13 =25 +50 = 75 ohms

in parallel combination R123 = 75*89/(75+89) = 40.7 ohms

R1234 = 40.7 +20 = 60.7 ohms

(b) V = IR

12 = 60.7*I

I = 0.198 A

(C) P = I^2*R

P = 0.198^2*60.7 = 2.38 W

(d) in series combination current constant

I123 = 0.198 A

V123 = 0.198*40.7 = 8.06 V

in parallel combination voltage is constant

V13 = 8.06 V

8.06 = I13*75

I13 = 0.1075 A

in series combination current is constant

I3 = 0.1075 A

P3 = 0.1075^2*50

P3 = 0.58W

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.