DC Circuits Exam Questions and Answers, Exams of Analysis and Design of Digital Integrated Circuits

A series of questions and answers related to dc circuits. It covers fundamental concepts such as current, resistance, ohm's law, and circuit configurations (series and parallel). The questions are designed to test understanding of basic circuit analysis and problem-solving skills. It is useful for students studying electrical engineering or physics, providing a practical way to review and reinforce their knowledge of dc circuits. Diagrams and detailed explanations, making it a valuable resource for exam preparation and self-study.

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2025/2026

Available from 12/01/2025

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DC |\ Circuits |\ exam |\ with |\ answers
A |\few |\different |\circuit |\elements |\(batteries, |\resistors, |\
capacitors, |\etc.) |\are |\connected |\in |\series. |\What |\do |\all |\of |\
them |\have |\in |\common? |\- |\CORRECT |\ANSWERS |\✔✔The |\
current |\through |\each |\one |\is |\the |\same.
Real |\wires |\are |\made |\from |\"ohmic" |\materials, |\meaning |\
they |\have |\some |\amount |\of |\resistance |\and |\obey |\Ohm's |\
law. |\If |\we |\want |\to |\account |\for |\this |\in |\a |\circuit |\diagram, |\
how |\do |\we |\do |\so? |\- |\CORRECT |\ANSWERS |\✔✔We |\include |\
additional |\resistors |\representing |\the |\resistance |\of |\the |\wire
|\and |\then |\treat |\the |\wires |\in |\the |\diagram |\as |\"ideal |\wires."
Consider |\the |\circuit |\shown. |\When |\hooked |\up |\to |\a |\certain |\
battery, |\there |\will |\be |\a |\current, |\I, |\moving |\to |\the |\right |\in |\
the |\top |\wire |\(above |\resistor |\A). |\How |\would |\the |\current |\
through |\resistor |\A |\compare |\to |\the |\current |\through |\the |\
bottom |\section |\of |\wire |\between |\the |\points |\marked |\n |\and |\
m? |\- |\CORRECT |\ANSWERS |\✔✔The |\current |\through |\resistor |\
A |\will |\be |\the |\same |\as |\the |\current |\through |\the |\bottom |\
wire.
Current |\is |\defined |\(mathematically) |\by |\the |\equation |\I |\is |\
equal |\to |\start |\fraction |\delta |\Q |\over |\delta |\t |\end |\fraction |\
(for |\average |\current) |\or |\I |\is |\equal |\to |\start |\fraction |\dQ |\over
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DC|\Circuits|\exam|\with|\answers

A |\few |\different |\circuit |\elements |(batteries, |\resistors, |
capacitors, |\etc.) |\are |\connected |\in |\series. |\What |\do |\all |\of |
them |\have |\in |\common? |- |\CORRECT |\ANSWERS |\✔✔The |
current |\through |\each |\one |\is |\the |\same. Real |\wires |\are |\made |\from |"ohmic" |\materials, |\meaning |
they |\have |\some |\amount |\of |\resistance |\and |\obey |\Ohm's |
law. |\If |\we |\want |\to |\account |\for |\this |\in |\a |\circuit |\diagram, |
how |\do |\we |\do |\so? |- |\CORRECT |\ANSWERS |\✔✔We |\include |
additional |\resistors |\representing |\the |\resistance |\of |\the |\wire |\and |\then |\treat |\the |\wires |\in |\the |\diagram |\as |"ideal |\wires." Consider |\the |\circuit |\shown. |\When |\hooked |\up |\to |\a |\certain |
battery, |\there |\will |\be |\a |\current, |\I, |\moving |\to |\the |\right |\in |
the |\top |\wire |(above |\resistor |\A). |\How |\would |\the |\current |
through |\resistor |\A |\compare |\to |\the |\current |\through |\the |
bottom |\section |\of |\wire |\between |\the |\points |\marked |\n |\and |
m? |- |\CORRECT |\ANSWERS |\✔✔The |\current |\through |\resistor |
A |\will |\be |\the |\same |\as |\the |\current |\through |\the |\bottom |
wire. Current |\is |\defined |(mathematically) |\by |\the |\equation |\I |\is |
equal |\to |\start |\fraction |\delta |\Q |\over |\delta |\t |\end |\fraction |
(for |\average |\current) |\or |\I |\is |\equal |\to |\start |\fraction |\dQ |\over

|\dt |\end |\fraction |(for |\instantaneous |\current, |\using |
calculus). |\Using |\whichever |\definition |\you |\are |\comfortable |
with, |\when |\considering |\current |\in |\a |\wire, |\this |\can |\be |
stated |(conceptually) |\as |\which |\of |\the |\following? |- |
CORRECT |\ANSWERS |\✔✔Current |\is |\the |\rate |\at |\which |
charge |\passes |\a |\certain |\place |\in |\the |\wire. Consider |\an |\electric |\current, |\I, |\travelling |\through |\a |\circuit |
when |\it |\encounters |\a |\junction, |\splits |\into |\two |\branches |\A |
and |\B, |\and |\later |\rejoins |\back |\together. |\What |\parameter(s) |\are |\involved |\in |\determining |\the |\fraction |\of |\the |\original |
current, |\I, |\that |\travels |\path |\B? |- |\CORRECT |\ANSWERS |
✔✔The |\total |\equivalent |\resistance |\of |\both |\branches |\are |
the |\determining |\factors. Consider |\the |\following |\statement: |"If |\you |\connect |\another |\resistor |\to |\an |\existing |\network |\of |\resistors, |\the |\total |
equivalent |\resistance |\will |\decrease." |\Is |\this |\true? |- |
CORRECT |\ANSWERS |\✔✔Yes, |\but |\only |\if |\the |\new |\resistor |\is |
connected |\in |\parallel |\with |\the |\existing |\network. Suppose |\you |\have |\a |\network |\of |\resistors |\with |\a |\total |
resistance |\R |\sub |\eq |\is |\equal |\to |\R |\sub |\I. |\If |\you |\hook |\up |\one |\more |\small |\resistor |(compared |\to |\R |\sub |\i) |\in |\series |\with |
the |\original |\network, |\what |\would |\happen |\to |\the |\overall |
equivalent |\resistance? |- |\CORRECT |\ANSWERS |\✔✔R |\sub |\eq |
will |\increase |\a |\small |\amount.

the |\top |\wire |(above |\resistor |\A). |\How |\would |\the |\current |
through |\resistor |\A |\compare |\to |\the |\current |\through |\resistor |\B |\plus |\the |\current |\through |\resistor |\C? |- |\CORRECT |
ANSWERS |\✔✔The |\current |\through |\resistor |\A |\will |\be |\the |
same |\as |\the |\current |\through |\resistor |\B |\plus |\the |\current |
through |\resistor |\C. |\Meaning |\IA |= |\IB |+ |\IC. Suppose |\you |\have |\two |\identical |\resistors |\with |\resistance |
R. |\If |\you |\combine |\them |\in |\parallel, |\what |\will |\the |\total |
equivalent |\resistance |\be? |- |\CORRECT |\ANSWERS |
✔✔Req=R/ Consider |\the |\simple |\arrangement |\of |\three |\resistors |
shown. |\Assume |\R |\sub |\A |\is |\greater |\than |\R |\sub |\B |\is |\greater |
than |\R |\sub |\C. |\The |\total |\equivalent |\resistance |\of |\the |
arrangement |\will |\be |______. )All |\in |\parallel) |- |\CORRECT |\ANSWERS |\✔✔smaller |\than |\the |
resistance |\of |\resistor |\C Consider |\the |\simple |\arrangement |\of |\three |\resistors |
shown. |\Assume |\R |\sub |\A |\is |\greater |\than |\R |\sub |\B |\is |\greater |
than |\R |\sub |\C. |\The |\total |\equivalent |\resistance |\of |\the |
arrangement |\will |\be |______. |(long |\vertical |\line) (all |\in |\series)` |- |\CORRECT |\ANSWERS |\✔✔larger |\than |\the |
resistance |\of |\resistor |\A

Consider |\an |\electric |\current |\travelling |\across |\a |\series |\of |
two |\resistors |\A |\and |\B, |\experiencing |\a |\total |\voltage |\drop |\of |\delta |\V. |\What |\parameter(s) |\are |\involved |\in |\determining |
what |\fraction |\of |\the |\total |\voltage |\drop |\will |\be |\experienced |\by |\resistor |\A? |- |\CORRECT |\ANSWERS |\✔✔The |\resistance |\of |
both |\resistors |\are |\the |\determining |\factors. Consider |\the |\network |\of |\ 4 |\resistors |\shown. |\Resistor |\A |\and |
resistor |\D |\are |______. (a |\and |\b |\parallel, |\C |\and |\D |\are |\parallel |\to |\A |\and |\B |\but |
stacked |\in |\series) |- |\CORRECT |\ANSWERS |\✔✔neither |\in |
series |\nor |\in |\parallel |\with |\each |\other Consider |\the |\simple |\arrangement |\of |\three |\resistors |
shown. |\Resistor |\A |\and |\resistor |\C |\are |______. (long |\vertical |\line |\in |\series) |- |\CORRECT |\ANSWERS |\✔✔in |
series |\with |\each |\other Consider |\an |\idealized |\circuit |\diagram |\showing |\various |
elements |(resistors, |\batteries, |\capacitors, |\etc.). |\Which |
elements |\in |\the |\circuit |\obey |\Ohm's |\law, |\deltaV=IR |- |
CORRECT |\ANSWERS |\✔✔Only |\the |\resistors Suppose |\you |\have |\a |\network |\of |\resistors |\with |\a |\total |
resistance |\Req= |\RI. |\If |\you |\hook |\up |\one |\more |\small |
resistor |(compared |\to |\R |\sub |\i) |\in |\parallel |\with |\the |\original |\

Consider |\the |\simple |\arrangement |\of |\three |\resistors |
shown. |\Assume |\R |\sub |\A |\is |\greater |\than |\R |\sub |\B |\is |\greater |
than |\R |\sub |\C. |\The |\total |\equivalent |\resistance |\of |\the |
arrangement |\will |\be |______. (in |\parallel) |- |\CORRECT |\ANSWERS |\✔✔smaller |\than |\the |
resistance |\of |\resistor |\C Consider |\the |\circuit |\shown. |\When |\hooked |\up |\to |\a |\certain |
battery, |\there |\will |\be |\a |\current, |\I, |\moving |\to |\the |\right |\in |
the |\top |\wire |(above |\resistor |\A). |\How |\would |\the |\current |
through |\resistor |\A |\compare |\to |\the |\current |\through |\resistor |\B |\plus |\the |\current |\through |\resistor |\C? (A |\on |\top, |\B |\and |\C |\on |\bottom) |- |\CORRECT |\ANSWERS |
✔✔The |\current |\through |\resistor |\A |\will |\be |\the |\same |\as |\the |
current |\through |\resistor |\B |\plus |\the |\current |\through |
resistor |\C. |\Meaning |\IA |= |\IB |+ |\IC. Consider |\the |\following |\statement: |"If |\you |\connect |\another |\resistor |\to |\an |\existing |\network |\of |\resistors, |\the |\total |
equivalent |\resistance |\will |\increase." |\Is |\this |\true? |- |
CORRECT |\ANSWERS |\✔✔Yes, |\but |\only |\if |\the |\new |\resistor |\is |
connected |\in |\series |\with |\the |\existing |\network. Suppose |\you |\have |\a |\network |\of |\resistors |\with |\a |\total |
resistance |\R |\sub |\eq |\is |\equal |\to |\R |\sub |\I. |\If |\you |\hook |\up |\one |\more |\small |\resistor |(compared |\to |\R |\sub |\i) |\in |\parallel |\with |
the |\original |\network, |\what |\would |\happen |\to |\the |\overall |\

equivalent |\resistance? |- |\CORRECT |\ANSWERS |\✔✔R |\sub |\eq |
will |\decrease |\a |\large |\amount.