Physics Circuits Multiple Choice Questions It must be handwritten, not typeset. The multiple- choice answers must be circled. In the space after the proble
Physics Circuits Multiple Choice Questions It must be handwritten, not typeset. The multiple- choice answers must be circled. In the space after the problem, a short justification of each multiple-choice the answer must be included. The open-response answers must be worked out clearly using good physics presentation and will be graded on correctness and how carefully the work is explained. Name:
Lab Day/Time:
Homework 6 Circuits
Homework is due at the beginning of the Wednesday lecture. It must be handwritten, not typeset. The multiplechoice answers must be circled. In the space after the problem, a short justification of each multiple-choice the
answer must be included. The open-response answers must be worked out clearly using good physics presentation
and will be graded on correctness and how carefully the work is explained. The problems should be worked in
the space after the problem on the assignment printout; additional paper may be used if needed. No credit will
be given for answers without appropriate supporting work. Minimum good presentation requires the following:
(1) Symbolic expression for any formula, (2) Manipulation of symbolic expressions, not numeric expressions, (3)
Substitution of numbers with units, (4) Reporting final answers with correct units and vector expressions, (5)
Enough English description to allow the reader to have some idea what you are doing without looking at the
math.
Multiple Choice Problems
The questions in this section are to be answered by circling the correct multiple-choice answer AND
providing a short justification of your answer in the space after the problem..
Homework Problem 6.1 Analyze the circuit to the right with
∆V1 = 12V , ∆V2 = 6V , R1 = R2 = R3 = 10Ω. Use the
directions for the currents drawn on the diagram. Write the loop
equation for the loop drawn on the diagram.
R1
Select One of the Following:
I1
(a) −∆V1 + I1 R1 + ∆V2 + I3 R2 = 0
∆V1
(b) ∆V1 − I3 R1 − ∆V2 + I3 R2 = 0
I2
R3 ∆V2
I3
(c) −∆V1 − I3 R1 + ∆V2 + I3 R2 = 0
(d) ∆V1 + I3 R1 + ∆V2 + I3 R2 = 0
j
(e) −∆V1 + I3 R1 + ∆V2 + I3 R2 = 0
R2
Loop
Homework Problem 6.2 In the circuit to the right, all resistors
have resistance R = 100Ω. The battery voltage is ∆V0 = 12V.
Compute the power dissipated by R3 .
Select One of the Following:
R2
(a) 0.04W
∆V0
(b) 0.16W
(c) 0.56W
R1
R3
(d) 2.6W
R4
(e) 12W
1
Homework Problem 6.3 The figure below shows a circuit that is part of a larger circuit. Select the loop equation
for the loop drawn (Loop abcda) using the current directions introduced on the figure.
Select One of the Following:
(a) I2 R2 + ∆V2 + I1 R1 + ∆V1 = 0
(b) −I2 R2 + ∆V2 − I1 R1 + ∆V1 = 0
(c) I2 R2 − ∆V2 + I1 R1 − ∆V1 = 0
(d) I1 R2 + ∆V2 + I2 R1 + ∆V1 = 0
(e) I2 R2 + ∆V2 + I3 R1 + ∆V1 = 0
(f) I1 R2 − ∆V2 + I2 R1 − ∆V1 = 0
(g) −I3 R2 + ∆V2 − I1 R1 + ∆V1 = 0
(h) −I2 R2 + ∆V2 − I3 R1 + ∆V1 = 0
Loop
b
∆V2
R2
I2
a
c
I3
I1
R1
∆V1
d
2
Homework Problem 6.4 Analyze the circuit to the right with
∆V1 = 12V , ∆V2 = 6V , R1 = R2 = R3 = 10Ω. Use the
directions for the currents drawn on the diagram. Write a junction
equation for junction j.
R1
∆V1
I2
R3 ∆V2
I3
I1
j
R2
Loop
Select One of the Following:
(a) I2 = I1
(b) I1 = I2 + I3
(c) I3 = I1 + I2
(d) I2 = I1 + I3
(e) 0 = I1 + I2 + I3
Homework Problem 6.5 For the resistor network to the right,
R1 = R2 = 100Ω, R3 = R4 = 200Ω, and ∆V0 = 20V . Compute
the current through R3 .
a
R4
Select One of the Following:
(a) 0.067A
R1
(b) 0.017A
∆V0
R3
(c) 0.033A
(d) 5.13A
R2
(e) 0.133A
b
3
Homework Problem 6.6 Consider two resistors. Each resistor carries the same current I. The resistance of
resistor 1 is R and the resistance of resistor 2 is 2R. The power dissipated by resistor 1 is P . What is the power
dissipated by resistor 2?
Select One of the Following:
(a) P
(b) 2P
(c) 4P
(d) P/2
(e) P/4
Homework Problem 6.7 The power drawn by a light bulb is controlled by the thickness of the wire forming the
filament, since different thickness wires have different resistances. Consider a 100W and a 60W bulb. Which
bulb has the thicker filament?
Select One of the Following:
(a) the 60W bulb
(b) the 100W bulb
Homework Problem 6.8 When one of the lights in your house burns out, the others stay lit. Are they connected
in series or parallel?
Select One of the Following:
(a) series
(b) parallel
(c) either series or parallel
4
Homework Problem 6.9 The circuit given has a battery, an
ammeter, and a collection of resistors. What happens to the
current through R6 if R2 is decreased?
R4
Select One of the Following:
R5
c
(a) The current increases.
d
R6
(b) The current decreases.
(c) The current stays the same.
R2
R3
R7
b
R1
a
+
A
_
e
V
Homework Problem 6.10 The figure shows two light bulbs, BA
and BB in parallel connected across a battery. When the switch
is closed a third bulb, BC , is connected in parallel with the first
two bulbs. Is the current through the battery before the switch
is closed, Ibef ore , greater, the same as, or less than the current
through the battery after the switch is closed, Iaf ter .
BA
Select One of the Following:
(a) Ibef ore > Iaf ter
(b) Ibef ore < Iaf ter
(c) Ibef ore = Iaf ter
5
BB
BC
Open Response Questions
Homework Problem 6.11 In the circuit at the
right, ∆V = 12V, R1 = 1Ω, R2 = 3Ω, R3 = 6Ω,
R4 = 2Ω, and R5 = 2Ω.
R1
(a)Compute the equivalent resistance of the
circuit.
∆V
(b)Compute the current delivered by the battery.
(c)Compute the power consumed by R1 .
R2
R4
(d)Compute the current through R3 .
(e)Compute the voltage across R4 .
6
R3
R5
Homework Problem 6.12 For the resistance network below,
(a)Which if any of the resistors below are in series? There may be more than one or no series combination.
(b)Which if any of the resistors below are in parallel? There may be more than one or no parallel combination.
(c)Write a loop equation for loop 1 (DCELD).
(d)Write a loop equation for loop 2 (KGHJK).
(e)Write a junction equation for junction E.
I10
F
G
R3
H
3V
I11
I5
I3
B
C
I7
E
I1
R7
loop 2
6V
loop 1
R1
R6
I6
R4
I4
R5
A
R2
D
I2
R9
L
K
7
J
I8
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