Battery capacity (kWh) and range relationship in EV Technology - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the sentence to explain what battery capacity means.

EV Technology

Battery capacity is measured in [1] and shows how much energy a battery can store.

Drag options to blanks, or click blank then click option'

Awatts

Bmeters

Cliters

Dkilowatt-hours

Attempts:

3 left

💡 Hint

Common Mistakes

Confusing capacity units with distance or power units.

Battery capacity is measured in kilowatt-hours (kWh), which indicates the amount of energy stored.

2fill in blank

medium

Complete the sentence to describe what 'range' means for an electric vehicle.

EV Technology

The range of an electric vehicle is the distance it can travel on a full [1].

Drag options to blanks, or click blank then click option'

Afull tire

Bbattery charge

Ctank of gas

Dengine oil

Attempts:

3 left

💡 Hint

Common Mistakes

Mixing up electric vehicles with gasoline cars.

Range refers to how far the vehicle can go on a full battery charge.

3fill in blank

hard

Fix the error in the statement about battery capacity and range.

EV Technology

A larger battery capacity usually means a [1] range for the vehicle.

Drag options to blanks, or click blank then click option'

Aunchanged

Bshorter

Clonger

Drandom

Attempts:

3 left

💡 Hint

Common Mistakes

Assuming battery size does not affect range.

Generally, a bigger battery capacity allows the vehicle to travel a longer distance.

4fill in blank

hard

Fill in the blank to complete the formula for estimating range.

EV Technology

Estimated range = Battery capacity (kWh) [1] Average energy consumption (kWh per mile)

Drag options to blanks, or click blank then click option'

A/

B*

C+

D-

Attempts:

3 left

💡 Hint

Common Mistakes

Using multiplication instead of division.

Range is calculated by dividing battery capacity by average energy consumption per mile.

5fill in blank

hard

Fill both blanks to create a dictionary showing battery capacity and range for vehicles.

EV Technology

vehicles = {'Model X': {BLANK_2}}, 'Model Y': {{BLANK_2}}

Drag options to blanks, or click blank then click option'

A{

B75

C100

D[

Attempts:

3 left

💡 Hint

Common Mistakes

Using square brackets instead of curly braces for dictionaries.

This dictionary uses curly braces to map vehicle models to their battery capacities in kWh.

Practice

1. What does the battery capacity measured in kWh represent in an electric vehicle (EV)?

easy

A. The speed at which the EV can travel

B. The weight of the battery

C. The total amount of energy the battery can store

D. The time it takes to charge the battery fully

Solution

1. Step 1: Understand battery capacity meaning

   Battery capacity in kWh shows how much energy the battery can hold at full charge.

2. Step 2: Differentiate from other factors

   Speed, weight, and charging time are different characteristics, not battery capacity.

3. Final Answer:

   The total amount of energy the battery can store -> Option C

4. Quick Check:

   Battery capacity = energy stored [OK]

Hint: Battery capacity means stored energy, not speed or weight [OK]

Common Mistakes:

• Confusing capacity with charging time
• Thinking capacity means battery weight
• Mixing capacity with vehicle speed

2. Which formula correctly relates battery capacity (kWh), energy efficiency (kWh per mile), and driving range (miles)?

easy

A. Range = Battery capacity x Energy efficiency

B. Range = Battery capacity ÷ Energy efficiency

C. Range = Energy efficiency ÷ Battery capacity

D. Range = Battery capacity + Energy efficiency

Solution

1. Step 1: Understand units and relationship

   Energy efficiency is how many kWh are used per mile, so dividing capacity by efficiency gives miles.

2. Step 2: Apply correct formula

   Range (miles) = Battery capacity (kWh) ÷ Energy used per mile (kWh/mile).

3. Final Answer:

   Range = Battery capacity ÷ Energy efficiency -> Option B

4. Quick Check:

   Range = Capacity ÷ Efficiency [OK]

Hint: Divide capacity by efficiency to get range [OK]

Common Mistakes:

• Multiplying capacity by efficiency instead of dividing
• Adding capacity and efficiency
• Reversing the division order

3. An EV has a battery capacity of 75 kWh and an energy efficiency of 0.25 kWh per mile. What is its approximate driving range?

medium

A. 300 miles

B. 18.75 miles

C. 75 miles

D. 0.0033 miles

Solution

1. Step 1: Identify given values

   Battery capacity = 75 kWh, Energy efficiency = 0.25 kWh/mile.

2. Step 2: Calculate range using formula

   Range = 75 ÷ 0.25 = 300 miles.

3. Final Answer:

   300 miles -> Option A

4. Quick Check:

   75 ÷ 0.25 = 300 [OK]

Hint: Divide 75 by 0.25 to get 300 miles range [OK]

Common Mistakes:

• Multiplying instead of dividing
• Confusing units and calculating incorrectly
• Choosing the smallest number thinking it's correct

4. A student wrote this formula to calculate EV range: range = battery_capacity * energy_efficiency. What is wrong with this formula?

medium

A. It should multiply battery capacity by the square of energy efficiency

B. It should add battery capacity and energy efficiency

C. The formula is correct as is

D. It should divide battery capacity by energy efficiency, not multiply

Solution

1. Step 1: Recall correct formula for range

   Range equals battery capacity divided by energy used per mile, not multiplied.

2. Step 2: Identify error in student's formula

   Multiplying capacity by efficiency gives wrong units and wrong result.

3. Final Answer:

   It should divide battery capacity by energy efficiency, not multiply -> Option D

4. Quick Check:

   Range = Capacity ÷ Efficiency, not x [OK]

Hint: Range = capacity ÷ efficiency, not multiply [OK]

Common Mistakes:

• Using multiplication instead of division
• Assuming formula is correct without checking units
• Adding values instead of dividing

5. You want an EV that can travel at least 250 miles on a single charge. If the car's energy efficiency is 0.3 kWh per mile, what minimum battery capacity (in kWh) should you look for?

hard

A. 75 kWh

B. 83.33 kWh

C. 250 kWh

D. 0.0012 kWh

Solution

1. Step 1: Understand the requirement and formula

   Range = Battery capacity ÷ Energy efficiency. Rearranged: Battery capacity = Range x Energy efficiency.

2. Step 2: Calculate minimum battery capacity

   Battery capacity = 250 miles x 0.3 kWh/mile = 75 kWh. But check options carefully.

3. Step 3: Recalculate carefully

   250 x 0.3 = 75 kWh, but 83.33 kWh is 83.33 kWh, 75 kWh is 75 kWh. The correct minimum is 75 kWh.

4. Final Answer:

   75 kWh -> Option A

5. Quick Check:

   Capacity = Range x Efficiency = 75 kWh [OK]

Hint: Multiply range by efficiency to find capacity [OK]

Common Mistakes:

• Dividing instead of multiplying
• Choosing wrong option due to calculation error
• Confusing range and capacity units