Physics 1112 Quiz 4: Solving Circuit Problems, Quizzes of Physics

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Physics 1112 CRN 87210 Quiz 4 Name

1. In the following circuit, find:

(a) the current in the 50 ohm resistor SHOW ALL WORK (b) the power dissipated in the 100 ohm resistor. SHOW ALL WORK First, collapse the circuit to a battery and an effective resistance... The 50 Ω resistor and 80 Ω resistor are in parallel. 1 50 +

80 =^

Ref f Ref f = 30.77 Ω Now, the 30 Ω, 100 Ω, and the 30.77 Ω resistors are all in series.

Ref f = 30.77 Ω + 100 Ω + 30 Ω Ref f = 160.77 Ω

V = IR

15 V = I(160.77 Ω)

I = 0. 0933 A

That current travels through the 30 Ω, 100 Ω, and 30.77 Ω resistors. So,

P = I^2 R = (0. 0933 A)^2 (100 Ω) = 0. 870 W Now, determine the voltage across the 30.77 Ω resistor...

V = IR = (0. 0933 A)(30.77 Ω) = 2. 87 V

That voltage is across both the 50 Ω and 80 Ω resistors.

V = IR (2. 87 V ) = I(50 Ω) I = 0. 0574 A