Assignment #2 / Basic Electricity for Solar Bike Design � �Post 5/27, due 6/5 11:59pm�Late: 6/6 12:01 am – 6/7 11:59 pm�Game Over: after 6/7 11:59pm : 0 point

• Individual Report
• First name Last name
• __________ ______________

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• Scores:
• (1 point) correct power point file name (Other format: pdf, etc: 0 point)
• (1 point) Your name on this page
• (16 points) Contents of this PowerPoint
• (2 point) submit this report on time

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Q1.(2 points) Ohm’s Law

Ohm’s Law: E = I x R

E: Voltage :unit in Volt (V)

I : Current :unit in Amp (A)

R: Resistance :unit in Ohm

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Basic Circuit:

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• Given: E = 48 V, R = 8 Ohm

Show your calculations

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Q1 (2 points)

I = ? (use 4 significant digits)

E

R

+

-

I

Q2.(2 points) Power Formula

Power Formula: P = E x I

P: Power :unit in Watt (W)

E: Voltage :unit in Volt (V)

I: Current :unit in Amp (A)

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Simple DC Motor Circuit:

(Note: this also applies to Solar Panel circuit)

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• Given: DC Motor Ratings:

E = 36 V, P = 250 W

Show your calculations

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Q2. (2 points) Calculate current drawn by motor:

I = ? (use 4 significant digits)

E

+

-

I

Rating for DC Motor:

Voltage, Power

DC Motor

Q3.(2 points) Battery Capacity (Ah)

Battery Capacity = I x t

I: Current :unit in Amp (A)

t: time :unit in hour (h)

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Simple Battery/DC Motor Circuit:

(Note: this also applies to Solar Panel circuit)

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• Given: DC Motor Ratings:

E = 48 V, P = 678 W

A 48 V battery has the capacity of 200 Ah.

Show your calculations

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Q3. (2 points) How long will this battery last in hours?

Time = ? hours (use 4 significant digits)

E

+

-

I

Rating for DC Motor:

Voltage, Power

Batteries

DC Motor

Q4.(2 points) Solar Panel Charging Batteries

Simple Solar Panel / Battery Circuit

Given:

Battery ratings: 12 V, capacity: 100 Ah

Solar Panel ratings: 12V, 250W

How many hours does it take the solar panel to fully charge the battery?

show your calculations.

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Q4. (2 points) time = ? Hours (4 significant digits)

E

+

-

I

Capacity (Ah)

Solar

Panel

(E,P)

Battery

Q5.(2 points) Use Batteries in series to increase Voltage

Simple Series Batteries/ DC Motor Circuit

Given:

Single Battery ratings: 12 V, capacity: 100 Ah

DC motor ratings: 48V, 250W

Show your calculations

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5.1 (1 point) How many 12V batteries connected in series are required to run the DC motor?

n = ? (integer)

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5.2 (1 point) How many hours can these batteries run the DC Motor?

time = ? hours ( 4 significant digits)

+

-

I

DC Motor:

voltage, power

12V

DC Motor

Q6.(4 points) Use Batteries in parallel to increase Capacity

Series/parallel Batteries/ DC Motor Circuit

Sample Calculations:

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• Given:

Single Battery ratings: 12 V, capacity: 100 Ah

DC motor ratings: 48V, 500W

We want to run the DC motor for at least 100 hours

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Show your calculations.

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6.1 (1 point) What is the minimum total batteries capacity required:

total capacity = ? (4 significant digits)

6.2 (1 point) How many 12 V batteries in series are required:

n (series) = ? (integer/round up)

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6.3 (1 point) How many 12 V batteries in parallel are required:

n (parallel) = ? (integer/round up)

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6.4( 1 point) What is the total number of 12 V batteries required

total # = ? (integer)

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DC Motor:

voltage, power

DC Motor

Draw your own batteries

Connections

(how many in series?

How many in parallel?)

(Note: If you need more space, you can draw on the next page)

Q7.(2 points) Use DC/DC Converter to boost battery voltage

Simple DC/DC Converter Circuit:

Given:

Battery ratings: 12 V, capacity: 100 Ah

DC Motor ratings: 48V, 567W

The battery voltage (12V) is not enough to drive the DC Motor (48 V), so we add a DC/DC Converter in between to boost voltage from 12V to 48V.

Show your calculations

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(1 point) 7.1 Calculate the current drain from the 12V battery

I (batt) = ? A (4 significant digits)

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(1 point) 7.2 Calculate the current drawn by DC Motor:

I (motor) = ? A (4 significant digits)

+

-

I(batt)

DC Motor:

48V, power

48V

DC/DC

Converter

I(motor)

Battery Power:

P(batt) = E(batt) x I(batt)

DC Motor Power:

P(motor) = E(motor) x I(motor)

Conservation of Power:

Battery Power = DC Motor Power

+

-

12V

DC Motor