basic electronics - purdue university =𝐼 𝐼=𝐢 𝑉 𝑉= 𝐼 π‘˜=1πΌπ‘˜ π‘˜=1π‘‰π‘˜

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A

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Image: http://www.mikroe.com/old/books/keu/01.htm

5 V

𝑅

5 V

𝑅

𝑅

1st Digit 2nd Digit Multiplier Tolerance

0

1

2

3

4

5

6

7

8

9

0

1

2

3

4

5

6

7

8

9

1

10

100

1K

10K

100K

1M

10M

Β± 10%

Β± 2%

Β± 0.5%

Β± 0.25%

Β± 0.1%

Β± 5%

Β± 1%

Silver

Gold

m

m

m

m m

m

𝑣𝑖𝑛 π‘£π‘œπ‘’π‘‘

Letter Code Tolerance

F 1%

G 2%

H 3%

J 5%

K 10%

M 20%

Z +80%, -20%

473K

25V

𝑅1

𝑅2

mm

m

Letter Code Tolerance

F 1%

G 2%

H 3%

J 5%

K 10%

M 20%

Z +80%, -20%

3R3K

𝑅

Resistor

𝐢

Capacitor

𝐿

Inductor

𝑉𝑠

𝑉𝑠

𝑉 = 𝐼𝑅

𝐼 = 𝐢𝑑𝑉

𝑑𝑑

𝑉 = 𝐿𝑑𝐼

𝑑𝑑

πΌπ‘˜π‘›π‘˜=1

π‘‰π‘˜π‘›π‘˜=1

𝑉 = 𝐼𝑅

𝑄 = 𝐢𝑉

𝐼 = 𝐢𝑑𝑉

𝑑𝑑

𝑉 = 𝐿𝑑𝐼

𝑑𝑑

πΌπ‘˜π‘›π‘˜=1

𝑖𝑅 = 𝑖𝐢 𝑖𝑅 𝑖𝐢

𝑖1 𝑖2

𝑖3

𝑖1 + 𝑖2 + 𝑖3 = 0

βˆ’

π‘‰π‘˜π‘›π‘˜=1

𝑉𝑅 = 𝑉𝐢 𝑉𝐢

+

βˆ’

𝑉𝑅

+

βˆ’

𝑉𝑆

+

βˆ’

𝑉𝑅

+

βˆ’

𝑖

βˆ’π‘‰π‘† + 𝑉𝑅 = 0

βˆ’

𝑉𝑖𝑛

π‘‰π‘œπ‘’π‘‘

𝑅2

𝑅1𝑖𝐢

π‘‰π‘œπ‘’π‘‘ =𝑅2

𝑅1 + 𝑅2 𝑉𝑖𝑛

β€’ 𝑉𝑠‒ 𝑉𝐢

+

βˆ’

𝑉𝑆

R = 10k C = 5uF

𝑣𝑖𝑛 π‘£π‘œπ‘’π‘‘

𝑉𝑠 𝑉𝑅 𝑉𝐢

βˆ’π‘‰π‘† + 𝑉𝑅 + 𝑉𝐢 = 0 β‡’ 𝑉𝑅 = 𝑉𝑆 βˆ’ 𝑉𝐢

+

βˆ’

𝑉𝑆

R = 10k C = 5uF

𝑉𝑅 + βˆ’ 𝑉𝑐 + βˆ’

𝑖

𝑉𝑠 βˆ’ 𝑉𝑐𝑅

= π‘–π‘Ÿ = 𝑖𝑐 = 𝐢𝑑𝑉𝑐𝑑𝑑

+

βˆ’

𝑉𝑆

R = 10k C = 5uF

𝑉𝑅 + βˆ’ 𝑉𝑐 + βˆ’

𝑖

𝑉𝑠 βˆ’ 𝑉𝑐𝑅

= 𝐢𝑑𝑉𝑐𝑑𝑑

𝑉𝑠 = 𝑅𝐢𝑑𝑉𝑐𝑑𝑑

+ 𝑉𝑐

(𝑅𝐢)𝑉 𝐢 + 𝑉𝐢 = 𝑉𝑠

𝜏π‘₯ + π‘₯ = 𝐾𝑦

𝜏π‘₯ + π‘₯ = 𝐾𝑦:

β€’

πœ”π‘π‘œ =1

𝜏=

1

𝑅𝐢‒

𝐺 π‘—πœ” =𝐾

1 + πœ”πœ 2=

1

1 + πœ”π‘…πΆ 2

β€’

∠𝐺 π‘—πœ” = βˆ’ tanβˆ’1 πœ”πœ = βˆ’ tanβˆ’1(πœ”π‘…πΆ)

𝑣𝑖𝑛 π‘£π‘œπ‘’π‘‘

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