Table 1 displays resistor color codes for resistance value and tolerance. Table 2 shows capacitor coded values converted to picofarads, nanofarads, and microfarads.
Table showing resistor color codes and capacitor values in picofarads, nanofarads, and microfarads.
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Step-by-step solution for: Solved I. INTRODUCTION: 1.1 Resistor Color Code Resistors | Chegg.com
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Show Answer Key & Explanations
Step-by-step solution for: Solved I. INTRODUCTION: 1.1 Resistor Color Code Resistors | Chegg.com
Let's solve both Table 1 (Resistor Color Code) and Table 2 (Capacitor Coded Values) step by step.
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The standard 4-band resistor color code is:
- 1st Band: First digit
- 2nd Band: Second digit
- 3rd Band: Multiplier (number of zeros)
- Tolerance Band: Tolerance percentage
#### Color to Digit Mapping:
| Color | Digit |
|-----------|-------|
| Black | 0 |
| Brown | 1 |
| Red | 2 |
| Orange | 3 |
| Yellow | 4 |
| Green | 5 |
| Blue | 6 |
| Violet | 7 |
| Gray | 8 |
| White | 9 |
#### Multiplier:
- Brown = ×10¹ = 10
- Red = ×10² = 100
- Orange = ×10³ = 1,000
- Yellow = ×10⁴ = 10,000
- etc.
#### Tolerance:
- Gold = ±5%
- Silver = ±10%
Now let’s calculate each row:
---
1. Brown, Red, Brown, Gold
- Digits: 1, 2 → 12
- Multiplier: Brown = ×10¹ = 10 → 12 × 10 = 120 Ω
- Tolerance: Gold = ±5%
- Answer: 120 Ω ±5%
2. Orange, Black, Black, Gold
- Digits: 3, 0 → 30
- Multiplier: Black = ×10⁰ = 1 → 30 × 1 = 30 Ω
- Tolerance: ±5%
- Answer: 30 Ω ±5%
3. Yellow, Green, Red, Silver
- Digits: 4, 5 → 45
- Multiplier: Red = ×10² = 100 → 45 × 100 = 4,500 Ω = 4.5 kΩ
- Tolerance: Silver = ±10%
- Answer: 4.5 kΩ ±10%
4. Violet, White, Orange, Silver
- Digits: 7, 9 → 79
- Multiplier: Orange = ×10³ = 1,000 → 79 × 1,000 = 79,000 Ω = 79 kΩ
- Tolerance: ±10%
- Answer: 79 kΩ ±10%
5. Gray, Blue, Yellow, Gold
- Digits: 8, 6 → 86
- Multiplier: Yellow = ×10⁴ = 10,000 → 86 × 10,000 = 860,000 Ω = 860 kΩ
- Tolerance: ±5%
- Answer: 860 kΩ ±5%
6. White, Orange, Green, Gold
- Digits: 9, 3 → 93
- Multiplier: Green = ×10⁵ = 100,000 → 93 × 100,000 = 9,300,000 Ω = 9.3 MΩ
- Tolerance: ±5%
- Answer: 9.3 MΩ ±5%
7. Red, Yellow, Blue, Silver
- Digits: 2, 4 → 24
- Multiplier: Blue = ×10⁶ = 1,000,000 → 24 × 1,000,000 = 24,000,000 Ω = 24 MΩ
- Tolerance: ±10%
- Answer: 24 MΩ ±10%
8. Green, Violet, Silver, Silver
- Digits: 5, 7 → 57
- Multiplier: Silver = ×10⁻¹ = 0.1 → 57 × 0.1 = 5.7 Ω
- Tolerance: ±10%
- Answer: 5.7 Ω ±10%
9. Blue, Brown, Gold, Gold
- Digits: 6, 1 → 61
- Multiplier: Gold = ×10⁻¹ = 0.1 → 61 × 0.1 = 6.1 Ω
- Tolerance: ±5%
- Answer: 6.1 Ω ±5%
---
✔ Completed Table 1:
| 1st Band | 2nd Band | 3rd Band | Tolerance | Resistance Value and Tolerance |
|----------|----------|----------|-----------|-------------------------------|
| Brown | Red | Brown | Gold | 120 Ω ±5% |
| Orange | Black | Black | Gold | 30 Ω ±5% |
| Yellow | Green | Red | Silver | 4.5 kΩ ±10% |
| Violet | White | Orange | Silver | 79 kΩ ±10% |
| Gray | Blue | Yellow | Gold | 860 kΩ ±5% |
| White | Orange | Green | Gold | 9.3 MΩ ±5% |
| Red | Yellow | Blue | Silver | 24 MΩ ±10% |
| Green | Violet | Silver | Silver | 5.7 Ω ±10% |
| Blue | Brown | Gold | Gold | 6.1 Ω ±5% |
---
Capacitors use a 3-digit code where:
- First two digits = significant digits
- Third digit = number of zeros (multiplier in pF)
So:
Value = (First two digits) × 10^(third digit) pF
Then convert to nF and µF as needed.
> Conversions:
> - 1 nF = 1,000 pF
> - 1 µF = 1,000,000 pF = 1,000 nF
Let’s go one by one:
---
1. 104
- 10 × 10⁴ = 10 × 10,000 = 100,000 pF
- = 100,000 / 1,000 = 100 nF
- = 100 / 1,000 = 0.1 µF
2. 473
- 47 × 10³ = 47 × 1,000 = 47,000 pF
- = 47 nF
- = 0.047 µF
3. 272
- 27 × 10² = 27 × 100 = 2,700 pF
- = 2.7 nF
- = 0.0027 µF
4. 100
- 10 × 10⁰ = 10 × 1 = 10 pF
- = 0.01 nF
- = 0.00001 µF
5. 4
- This is just 4, which implies 4 pF (no multiplier)
- So: 4 pF
- = 0.004 nF
- = 0.000004 µF
6. 105
- 10 × 10⁵ = 10 × 100,000 = 1,000,000 pF
- = 1,000 nF
- = 1 µF
7. 56
- This is 56 pF (no multiplier, so it's just 56 pF)
- = 0.056 nF
- = 0.000056 µF
---
✔ Completed Table 2:
| Capacitor Coded Value | picofarad (pF) | nanofarad (nF) | microfarad (µF) |
|------------------------|----------------|----------------|------------------|
| 104 | 100,000 | 100 | 0.1 |
| 473 | 47,000 | 47 | 0.047 |
| 272 | 2,700 | 2.7 | 0.0027 |
| 100 | 10 | 0.01 | 0.00001 |
| 4 | 4 | 0.004 | 0.000004 |
| 105 | 1,000,000 | 1,000 | 1 |
| 56 | 56 | 0.056 | 0.000056 |
---
#### Table 1 – Resistor Values:
| 1st Band | 2nd Band | 3rd Band | Tolerance | Resistance Value and Tolerance |
|----------|----------|----------|-----------|-------------------------------|
| Brown | Red | Brown | Gold | 120 Ω ±5% |
| Orange | Black | Black | Gold | 30 Ω ±5% |
| Yellow | Green | Red | Silver | 4.5 kΩ ±10% |
| Violet | White | Orange | Silver | 79 kΩ ±10% |
| Gray | Blue | Yellow | Gold | 860 kΩ ±5% |
| White | Orange | Green | Gold | 9.3 MΩ ±5% |
| Red | Yellow | Blue | Silver | 24 MΩ ±10% |
| Green | Violet | Silver | Silver | 5.7 Ω ±10% |
| Blue | Brown | Gold | Gold | 6.1 Ω ±5% |
#### Table 2 – Capacitor Values:
| Capacitor Coded Value | picofarad (pF) | nanofarad (nF) | microfarad (µF) |
|------------------------|----------------|----------------|------------------|
| 104 | 100,000 | 100 | 0.1 |
| 473 | 47,000 | 47 | 0.047 |
| 272 | 2,700 | 2.7 | 0.0027 |
| 100 | 10 | 0.01 | 0.00001 |
| 4 | 4 | 0.004 | 0.000004 |
| 105 | 1,000,000 | 1,000 | 1 |
| 56 | 56 | 0.056 | 0.000056 |
Let me know if you'd like this formatted for printing or need explanations for any specific entry!
---
🔧 Table 1: Resistor Color Code
The standard 4-band resistor color code is:
- 1st Band: First digit
- 2nd Band: Second digit
- 3rd Band: Multiplier (number of zeros)
- Tolerance Band: Tolerance percentage
#### Color to Digit Mapping:
| Color | Digit |
|-----------|-------|
| Black | 0 |
| Brown | 1 |
| Red | 2 |
| Orange | 3 |
| Yellow | 4 |
| Green | 5 |
| Blue | 6 |
| Violet | 7 |
| Gray | 8 |
| White | 9 |
#### Multiplier:
- Brown = ×10¹ = 10
- Red = ×10² = 100
- Orange = ×10³ = 1,000
- Yellow = ×10⁴ = 10,000
- etc.
#### Tolerance:
- Gold = ±5%
- Silver = ±10%
Now let’s calculate each row:
---
1. Brown, Red, Brown, Gold
- Digits: 1, 2 → 12
- Multiplier: Brown = ×10¹ = 10 → 12 × 10 = 120 Ω
- Tolerance: Gold = ±5%
- Answer: 120 Ω ±5%
2. Orange, Black, Black, Gold
- Digits: 3, 0 → 30
- Multiplier: Black = ×10⁰ = 1 → 30 × 1 = 30 Ω
- Tolerance: ±5%
- Answer: 30 Ω ±5%
3. Yellow, Green, Red, Silver
- Digits: 4, 5 → 45
- Multiplier: Red = ×10² = 100 → 45 × 100 = 4,500 Ω = 4.5 kΩ
- Tolerance: Silver = ±10%
- Answer: 4.5 kΩ ±10%
4. Violet, White, Orange, Silver
- Digits: 7, 9 → 79
- Multiplier: Orange = ×10³ = 1,000 → 79 × 1,000 = 79,000 Ω = 79 kΩ
- Tolerance: ±10%
- Answer: 79 kΩ ±10%
5. Gray, Blue, Yellow, Gold
- Digits: 8, 6 → 86
- Multiplier: Yellow = ×10⁴ = 10,000 → 86 × 10,000 = 860,000 Ω = 860 kΩ
- Tolerance: ±5%
- Answer: 860 kΩ ±5%
6. White, Orange, Green, Gold
- Digits: 9, 3 → 93
- Multiplier: Green = ×10⁵ = 100,000 → 93 × 100,000 = 9,300,000 Ω = 9.3 MΩ
- Tolerance: ±5%
- Answer: 9.3 MΩ ±5%
7. Red, Yellow, Blue, Silver
- Digits: 2, 4 → 24
- Multiplier: Blue = ×10⁶ = 1,000,000 → 24 × 1,000,000 = 24,000,000 Ω = 24 MΩ
- Tolerance: ±10%
- Answer: 24 MΩ ±10%
8. Green, Violet, Silver, Silver
- Digits: 5, 7 → 57
- Multiplier: Silver = ×10⁻¹ = 0.1 → 57 × 0.1 = 5.7 Ω
- Tolerance: ±10%
- Answer: 5.7 Ω ±10%
9. Blue, Brown, Gold, Gold
- Digits: 6, 1 → 61
- Multiplier: Gold = ×10⁻¹ = 0.1 → 61 × 0.1 = 6.1 Ω
- Tolerance: ±5%
- Answer: 6.1 Ω ±5%
---
✔ Completed Table 1:
| 1st Band | 2nd Band | 3rd Band | Tolerance | Resistance Value and Tolerance |
|----------|----------|----------|-----------|-------------------------------|
| Brown | Red | Brown | Gold | 120 Ω ±5% |
| Orange | Black | Black | Gold | 30 Ω ±5% |
| Yellow | Green | Red | Silver | 4.5 kΩ ±10% |
| Violet | White | Orange | Silver | 79 kΩ ±10% |
| Gray | Blue | Yellow | Gold | 860 kΩ ±5% |
| White | Orange | Green | Gold | 9.3 MΩ ±5% |
| Red | Yellow | Blue | Silver | 24 MΩ ±10% |
| Green | Violet | Silver | Silver | 5.7 Ω ±10% |
| Blue | Brown | Gold | Gold | 6.1 Ω ±5% |
---
📦 Table 2: Capacitor Coded Values
Capacitors use a 3-digit code where:
- First two digits = significant digits
- Third digit = number of zeros (multiplier in pF)
So:
Value = (First two digits) × 10^(third digit) pF
Then convert to nF and µF as needed.
> Conversions:
> - 1 nF = 1,000 pF
> - 1 µF = 1,000,000 pF = 1,000 nF
Let’s go one by one:
---
1. 104
- 10 × 10⁴ = 10 × 10,000 = 100,000 pF
- = 100,000 / 1,000 = 100 nF
- = 100 / 1,000 = 0.1 µF
2. 473
- 47 × 10³ = 47 × 1,000 = 47,000 pF
- = 47 nF
- = 0.047 µF
3. 272
- 27 × 10² = 27 × 100 = 2,700 pF
- = 2.7 nF
- = 0.0027 µF
4. 100
- 10 × 10⁰ = 10 × 1 = 10 pF
- = 0.01 nF
- = 0.00001 µF
5. 4
- This is just 4, which implies 4 pF (no multiplier)
- So: 4 pF
- = 0.004 nF
- = 0.000004 µF
6. 105
- 10 × 10⁵ = 10 × 100,000 = 1,000,000 pF
- = 1,000 nF
- = 1 µF
7. 56
- This is 56 pF (no multiplier, so it's just 56 pF)
- = 0.056 nF
- = 0.000056 µF
---
✔ Completed Table 2:
| Capacitor Coded Value | picofarad (pF) | nanofarad (nF) | microfarad (µF) |
|------------------------|----------------|----------------|------------------|
| 104 | 100,000 | 100 | 0.1 |
| 473 | 47,000 | 47 | 0.047 |
| 272 | 2,700 | 2.7 | 0.0027 |
| 100 | 10 | 0.01 | 0.00001 |
| 4 | 4 | 0.004 | 0.000004 |
| 105 | 1,000,000 | 1,000 | 1 |
| 56 | 56 | 0.056 | 0.000056 |
---
✔ Final Answer Summary:
#### Table 1 – Resistor Values:
| 1st Band | 2nd Band | 3rd Band | Tolerance | Resistance Value and Tolerance |
|----------|----------|----------|-----------|-------------------------------|
| Brown | Red | Brown | Gold | 120 Ω ±5% |
| Orange | Black | Black | Gold | 30 Ω ±5% |
| Yellow | Green | Red | Silver | 4.5 kΩ ±10% |
| Violet | White | Orange | Silver | 79 kΩ ±10% |
| Gray | Blue | Yellow | Gold | 860 kΩ ±5% |
| White | Orange | Green | Gold | 9.3 MΩ ±5% |
| Red | Yellow | Blue | Silver | 24 MΩ ±10% |
| Green | Violet | Silver | Silver | 5.7 Ω ±10% |
| Blue | Brown | Gold | Gold | 6.1 Ω ±5% |
#### Table 2 – Capacitor Values:
| Capacitor Coded Value | picofarad (pF) | nanofarad (nF) | microfarad (µF) |
|------------------------|----------------|----------------|------------------|
| 104 | 100,000 | 100 | 0.1 |
| 473 | 47,000 | 47 | 0.047 |
| 272 | 2,700 | 2.7 | 0.0027 |
| 100 | 10 | 0.01 | 0.00001 |
| 4 | 4 | 0.004 | 0.000004 |
| 105 | 1,000,000 | 1,000 | 1 |
| 56 | 56 | 0.056 | 0.000056 |
Let me know if you'd like this formatted for printing or need explanations for any specific entry!
Parent Tip: Review the logic above to help your child master the concept of resistor color code worksheet.