Series Circuit

Question 1

What is standard form or scientific notation?

Answer 1

A number written with one digit to the left of the decimal point and multiplied by 10 raised to some power.

Question 2

What is engineering notation?

Answer 2

Similar to scientific notation except that the power of ten is always a multiple of 3.

Question 3

Convert 12345 to scientific notation.

Answer 3

1.2345 x 10^4

Question 4

Convert 12345 to engineering notation.

Answer 4

12.345 x 10^3

Question 5

Convert 0.321 to scientific notation.

Answer 5

3.21 x 10^-1

Question 6

Convert 0.321 to engineering notation.

Answer 6

321 x 10^-3

Question 7

Convert 0.000012 to scientific notation.

Answer 7

1.2 x 10^-5

Question 8

Convert 0.000012 to engineering notation.

Answer 8

12 x 10^-6

Question 9

What happens when converting from a larger unit to a smaller unit?

Answer 9

Move the decimal point to the right.

Question 10

Convert 0.47 MW to kW.

Answer 10

470 kW

Question 11

Convert 10,000 pF to mF.

Answer 11

0.01 mF

Question 12

When adding or subtracting numbers with metric prefixes, what should you do first?

Answer 12

Convert them to the same prefix.

Question 13

What is Ohm’s Law?

Answer 13

The current flowing in a circuit is directly proportional to the applied voltage and inversely proportional to its resistance.

Question 14

What is the formula for Ohm’s Law?

Answer 14

V = I × R

Question 15

If voltage increases while resistance remains constant, what happens to current?

Answer 15

Current increases.

Question 16

If resistance increases while voltage remains constant, what happens to current?

Answer 16

Current decreases.

Question 17

Calculate the current in a circuit with a 12 V source and a resistance of 10 Ohms.

Answer 17

1.2 A

Question 18

What is the voltage across a 680 Ohm resistor if the current is 26.5 mA?

Answer 18

18.02 V

Question 19

Calculate the resistance of a rear window defroster grid with a 12.6 V battery drawing 15 mA.

Answer 19

840 Ohms

Question 20

What is the relationship between energy and power?

Answer 20

Power is the rate at which energy is used.

Question 21

What is the formula for power?

Answer 21

P = W / t

Question 22

One watt is equivalent to how much energy used in one second?

Answer 22

One joule.

Question 23

What is the unit of energy?

Answer 23

Joule (J)

Question 24

What is kilowatt-hour (kWh)?

Answer 24

The use of 1000W of power per 1 hour.

Question 25

Calculate the energy used by a 1200 W heater for 20 minutes.

Answer 25

0.4 kWh

Question 26

What is Watt's Law?

Answer 26

The relationship between power, voltage, and current.

Question 27

What is the power dissipated in a 27 Ohm resistor if the current is 0.135 A?

Answer 27

0.49 W

Question 28

What is the power rating of a resistor?

Answer 28

The max amount of power a resistor can dissipate without damage.

Question 29

How is the total resistance of resistors in series calculated?

Answer 29

RT = R1 + R2 + R3 + ... + Rn

Question 30

What is the same through all points in a series circuit?

Answer 30

The current.

Question 31

What is the total voltage in a series circuit of voltage sources?

Answer 31

The algebraic sum of the individual sources.

Question 32

What happens to the total current if the total resistance in a series circuit increases?

Answer 32

The total current decreases.

Question 33

Calculate the total resistance of a circuit with 56 Ohm, 100 Ohm, 27 Ohm, 10 Ohm, and 47 Ohm resistors.

Answer 33

240 Ohm

Question 34

What do you use to determine the total current in a series circuit?

Answer 34

Ohm’s Law.

Question 35

How do you find the voltage drop across a resistor in a series circuit?

Answer 35

V = I × R

Question 36

What is the effect of the voltage drop across a resistor in terms of polarity?

Answer 36

Positive at the end closest to the positive terminal of the voltage source.

Question 37

What is the total current if the total resistance is 9.5 kOhm and the voltage is 9.5 V?

Answer 37

1 mA

Question 38

What is the formula for calculating total source voltage in a series circuit?

Answer 38

𝑉𝑆(𝑡𝑜𝑡) = 𝑉𝑆1 + 𝑉𝑆2 + ⋯ + 𝑉𝑆𝑛

Question 39

What does Kirchhoff's Voltage Law (KVL) state?

Answer 39

The sum of all voltage drops around a single closed path in a circuit is equal to the total source voltage in that closed path.

Question 40

True or False: KVL applies to all circuits but must be applied to only one closed path.

Answer 40

True

Question 41

How is KVL mathematically expressed?

Answer 41

n ∑Vi = 0, i=1

Question 42

What is the first step in finding the unknown resistor R4 in a circuit?

Answer 42

Use Ohm’s Law to find the voltage drop across each known resistor.

Question 43

What is the formula for calculating voltage drop across a resistor?

Answer 43

𝑉 = 𝐼 × 𝑅

Question 44

Calculate V4 if the total source voltage is 50V and known voltage drops are 1V, 4.7V, and 10V.

Answer 44

V4 = 34.3V

Question 45

How do you calculate the resistance R4 if the voltage drop V4 is 34.3V and current I is 10mA?

Answer 45

R4 = V4 / I = 3.43kΩ

Question 46

What is the voltage drop across a given resistor in a series circuit?

Answer 46

The voltage drop is equal to the ratio of that resistor to the total resistance, multiplied by source voltage.

Question 47

What is the formula to find total resistance RT in a series circuit?

Answer 47

RT = R1 + R2 + ... + Rn

Question 48

What is the Voltage Divider Rule?

Answer 48

Voltage across a resistor is V = VS × (RX / RT)

Question 49

Find the voltage V1 across R1 (82Ω) when the source voltage VS is 10V and total resistance RT is 150Ω.

Answer 49

V1 = 5.47V

Question 50

If the voltage V1 is 5.47V and V2 is 4.53V, what should the sum equal?

Answer 50

The sum V1 + V2 should equal VS.

Question 51

What is the formula for voltage VAB if R1 is 1kΩ and RT is 12.5kΩ with a source voltage of 25V?

Answer 51

VAB = VS × (R1 / RT) = 2V

Question 52

Determine the voltage VBC if R2 is 8.2kΩ and total resistance RT is 12.5kΩ with a source voltage of 25V.

Answer 52

VBC = 16.4V

Question 53

What is the definition of Ohm’s Law?

Answer 53

A law stating that current is directly proportional to voltage and inversely proportional to resistance.

Question 54

What is energy measured in?

Answer 54

The unit is the joule (J).

Question 55

What is the unit of power?

Answer 55

The unit of power is the watt (W).

Question 56

What does an Ampere-hour rating indicate?

Answer 56

It is determined by multiplying the current (A) times the length of time (h) that a battery can deliver that current.

Question 57

What is a series circuit?

Answer 57

A relationship of components in which the components are connected such that they provide a single path between two points.

Question 58

What is a voltage divider?

Answer 58

A circuit consisting of series resistors across which one or more output voltages are taken.

Question 59

What is Kirchhoff’s Voltage Law?

Answer 59

The sum of the voltage drops around a closed loop equals the source voltage in that loop.