Physics 11th Chap 11 : Topic 11 - Maryam Publications

Physics Chapter 11 : Topic 11

Resistors in Series

1 / 30

When two or more resistors are connected in series, the current through each resistor is:

A) Zero in the last resistor

B) The same through all resistors

C) Maximum in the largest resistor

D) Different for each resistor

2 / 30

For resistors connected in series, the equivalent resistance is derived using Kirchhoff’s:

A) Second law only

B) Coulomb’s law

C) Both first and second laws

D) First law only

3 / 30

Three resistors $\mathbf{R}_{\mathbf{1}}$, $\mathbf{R}_{\mathbf{2}}$ and $\mathbf{R}_{\mathbf{3}}$ are connected in series. The equivalent resistance $\mathbf{R}$ is:

A) $\mathbf{R =}\mathbf{R}_{\mathbf{1}}\mathbf{+}\mathbf{R}_{\mathbf{2}}\mathbf{+}\mathbf{R}_{\mathbf{3}}$

B) $\mathbf{1\ /\ R = 1\ /\ }\mathbf{R}_{\mathbf{1}}\mathbf{+ 1\ /\ }\mathbf{R}_{\mathbf{2}}\mathbf{+ \ 1\ /\ }\mathbf{R}_{\mathbf{3}}$

C) $\mathbf{R =}\mathbf{R}_{\mathbf{1\ }}\mathbf{R}_{\mathbf{2\ }}\mathbf{R}_{\mathbf{3}}$

D) $\mathbf{R = (}\mathbf{R}_{\mathbf{1}}\mathbf{+}\mathbf{R}_{\mathbf{2}}\mathbf{+}\mathbf{R}_{\mathbf{3}}\mathbf{)\ /\ 3}$

4 / 30

In a series circuit containing resistors $\mathbf{R}_{\mathbf{1}}$ and $\mathbf{R}_{\mathbf{2}}$, Kirchhoff’s second law gives:

A) $\mathbf{V = I\ (}\mathbf{R}_{\mathbf{1}}\mathbf{-}\mathbf{R}_{\mathbf{2}}\mathbf{)}$

B) $\mathbf{V =}\mathbf{R}_{\mathbf{1}}\mathbf{+}\mathbf{R}_{\mathbf{2}}$

C) $\mathbf{V =}\mathbf{IR}_{\mathbf{1}}\mathbf{+}\mathbf{IR}_{\mathbf{2}}$

D) $\mathbf{V =}\mathbf{I\ /\ R}_{\mathbf{1}}\mathbf{+}\mathbf{I\ /\ R}_{\mathbf{2}}$

5 / 30

A battery of $\mathbf{e.m.f.}$ $\mathbf{V}$ is connected to two series resistors $\mathbf{R}_{\mathbf{1}}$ and $\mathbf{R}_{\mathbf{2}}$. According to Kirchhoff’s second law:

A) $\mathbf{V + I\ (}\mathbf{R}_{\mathbf{1}}\mathbf{-}\mathbf{R}_{\mathbf{2}}\mathbf{) = 0}$

B) $\mathbf{V - I\ (}\mathbf{R}_{\mathbf{1}}\mathbf{-}\mathbf{R}_{\mathbf{2}}\mathbf{) = 0}$

C) $\mathbf{V +}\mathbf{IR}_{\mathbf{1}}\mathbf{+}\mathbf{IR}_{\mathbf{2}}\mathbf{= 0}$

D) $\mathbf{V -}\mathbf{IR}_{\mathbf{1}}\mathbf{-}\mathbf{IR}_{\mathbf{2}}\mathbf{= 0}$

6 / 30

The derivation of series resistance assumes that:

A) Current changes after each resistor

B) Resistance decreases with each resistor

C) Voltage is the same across all resistors

D) Same current flows through all resistors

7 / 30

Two resistors of $\mathbf{4\ \Omega}$ and $\mathbf{6\ \Omega}$ are connected in series. Their combined resistance is:

A) $\mathbf{2.4\ \Omega}$

B) $\mathbf{24\ \Omega}$

C) $\mathbf{10\ \Omega}$

D) $\mathbf{5\ \Omega}$

8 / 30

If a third resistor is added in series to an existing series circuit, the equivalent resistance:

A) Increases

B) Becomes zero

C) Remains unchanged

D) Decreases

9 / 30

In a series circuit, the total voltage across the combination is:

A) Equal to voltage across the largest resistor only

B) Equal to the sum of individual voltage drops

C) Always zero

D) Equal to current only

10 / 30

The equivalent resistance of a series combination is always:

A) Greater than any individual resistance

B) Equal to the largest resistance

C) Zero

D) Less than the smallest resistance

11 / 30

A student writes the equation for three series resistors as: $\mathbf{V =}\mathbf{IR}_{\mathbf{1}}\mathbf{+}\mathbf{IR}_{\mathbf{2}}\mathbf{+}\mathbf{IR}_{\mathbf{3}}$ This equation is obtained from:

A) Newton’s law

B) Conservation of charge

C) Conservation of mass

D) Conservation of energy

12 / 30

A current $\mathbf{I}$ flows through three resistors $\mathbf{R}_{\mathbf{1}}$, $\mathbf{R}_{\mathbf{2}}$ and $\mathbf{R}_{\mathbf{3}}$ in series. The total voltage drop is:

A) $\mathbf{I\ /\ (}\mathbf{R}_{\mathbf{1}}\mathbf{+}\mathbf{R}_{\mathbf{2}}\mathbf{+}\mathbf{R}_{\mathbf{3}}\mathbf{)}$

B) $\mathbf{I\ (}\mathbf{R}_{\mathbf{1}}\mathbf{+}\mathbf{R}_{\mathbf{2}}\mathbf{+}\mathbf{R}_{\mathbf{3}}\mathbf{)}$

C) $\mathbf{I\ (}\mathbf{R}_{\mathbf{1\ }}\mathbf{R}_{\mathbf{2\ }}\mathbf{R}_{\mathbf{3}}\mathbf{)}$

D) $\mathbf{I\ (}\mathbf{R}_{\mathbf{1}}\mathbf{-}\mathbf{R}_{\mathbf{2}}\mathbf{-}\mathbf{R}_{\mathbf{3}}\mathbf{)}$

13 / 30

If resistors of $\mathbf{5\ \Omega}$, $\mathbf{10\ \Omega}$ and $\mathbf{15\ \Omega}$ are connected in series, the equivalent resistance is:

A) $\mathbf{50\ \Omega}$

B) $\mathbf{7.5\ \Omega}$

C) $\mathbf{3\ \Omega}$

D) $\mathbf{30\ \Omega}$

14 / 30

In deriving the series resistance formula, why are voltage drops added?

A) Because energy losses across resistors add up.

B) Because current increases through resistors.

C) Because charge is created.

D) Because resistance becomes negative.

15 / 30

A circuit has resistors $\mathbf{R}_{\mathbf{1}}$ and $\mathbf{R}_{\mathbf{2}}$ in series. If the current is doubled, the equivalent resistance:

A) Becomes four times

B) Halves

C) Remains unchanged

D) Doubles

16 / 30

For two series resistors, the voltage across $\mathbf{R}_{\mathbf{1}}$ is:

A) $\mathbf{V}_{\mathbf{1}}\mathbf{=}\mathbf{R}_{\mathbf{1}}\mathbf{+}\mathbf{R}_{\mathbf{2}}$

B) $\mathbf{V}_{\mathbf{1}}\mathbf{=}\mathbf{I\ /\ R}_{\mathbf{1}}$

C) $\mathbf{V}_{\mathbf{1}}\mathbf{=}\mathbf{IR}_{\mathbf{1}}$

D) $\mathbf{V}_{\mathbf{1}}\mathbf{=}\mathbf{R}_{\mathbf{1}}\mathbf{\ /\ I}$

17 / 30

Two resistors of $\mathbf{8\ \Omega}$ and $\mathbf{12\ \Omega}$ are connected in series with a $\mathbf{10\ V}$ battery. Thecurrent in the circuit is:

A) $\mathbf{2\ A}$

B) $\mathbf{5\ A}$

C) $\mathbf{20\ A}$

D) $\mathbf{0.5\ A}$

18 / 30

If one resistor in a series circuit becomes open, then:

A) Voltage disappears

B) Resistance becomes zero

C) Current increases

D) Current becomes zero

19 / 30

The main difference between series and parallel resistance formulas is that in series:

A) Current is different everywhere

B) Resistance becomes smaller

C) Voltage remains constant

D) Resistances are directly added

20 / 30

The equivalent resistance formula for n resistors in series is:

A) $\mathbf{R = (}\mathbf{R}_{\mathbf{1}}\mathbf{+}\mathbf{R}_{\mathbf{2}}\mathbf{)\ /\ n}$

B) $\mathbf{R =}\mathbf{R}_{\mathbf{1}}\mathbf{+}\mathbf{R}_{\mathbf{2}}\mathbf{+ \ \ldots\ + \ }\mathbf{R}_{\mathbf{n}}$

C) $\mathbf{1\ /\ R =}\mathbf{R}_{\mathbf{1}}\mathbf{+}\mathbf{R}_{\mathbf{2}}\mathbf{\ + \ \ \ldots\ + \ }\mathbf{R}_{\mathbf{n}}$

D) $\mathbf{R =}\mathbf{R}_{\mathbf{1\ }}\mathbf{R}_{\mathbf{2}}\mathbf{\ldots\ }\mathbf{R}_{\mathbf{n}}$

21 / 30

In a series circuit, the resistor having the greatest resistance has:

A) The smallest voltage drop

B) The greatest voltage drop

C) The greatest current

D) No voltage drop

22 / 30

Kirchhoff’s second law applied to a series circuit can be written as:

A) $\mathbf{\Sigma\ V = 0}$

B) $\mathbf{\Sigma\ I = 0}$

C) $\mathbf{\Sigma\ Q = 0}$

D) $\mathbf{\Sigma\ R = 0}$

23 / 30

A resistor combination has equivalent resistance $\mathbf{50\ \Omega}$. If one resistor of $\mathbf{10\ \Omega}$ is removed from the series combination, the new resistance will be:

A) $\mathbf{40\ \Omega}$

B) $\mathbf{500\ \Omega}$

C) $\mathbf{5\ \Omega}$

D) $\mathbf{60\ \Omega}$

24 / 30

In a series circuit, the total power supplied by the battery is equal to:

A) Power lost in all resistors added together

B) Current multiplied by resistance only

C) Zero power

D) Power of the largest resistor only

25 / 30

The derivation of combined resistance in series finally gives:

A) $\mathbf{I =}\mathbf{VR}_{\mathbf{e}}$

B) $\mathbf{R}_{\mathbf{e}}\mathbf{= V - I}$

C) $\mathbf{V =}\mathbf{IR}_{\mathbf{e}}$

D) $\mathbf{V =}\mathbf{I\ /\ R}_{\mathbf{e}}$

26 / 30

A circuit contains resistors $\mathbf{2\ \Omega}$, $\mathbf{3\ \Omega}$ and $\mathbf{5\ \Omega}$ connected in series. The voltage drop across the $\mathbf{5\ \Omega}$ resistor compared to the $\mathbf{2\ \Omega}$ resistor is:

A) Zero

B) Greater

C) Equal

D) Smaller

27 / 30

The formula for series resistance would not be valid if:

A) Current is constant.

B) Current changes through different resistors.

C) Resistors are connected in one path.

D) Kirchhoff’s law is applied.

28 / 30

A $\mathbf{12\ \Omega}$ resistor and an unknown resistor are connected in series. The total resistance is $\mathbf{20\ \Omega}$. The unknown resistance is:

A) $\mathbf{0.6\ \Omega}$

B) $\mathbf{8\ \Omega}$

C) $\mathbf{32\ \Omega}$

D) $\mathbf{240\ \Omega}$

29 / 30

When resistors are connected in series, their combined resistance represents:

A) Total voltage generated

B) Total opposition offered to current flow

C) Total current produced

D) Total charge stored

30 / 30

The series resistance formula demonstrates that:

A) Voltage drops disappear.

B) Adding resistors can reduce current by increasing resistance.

C) Adding resistors increases current.

D) Energy is not conserved.

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