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A 200Omega resistor has a certain color ...

A `200Omega` resistor has a certain color code. If one replaces the red color by green in the code, the new resistance will be:

A

`100Omega`

B

`400Omega`

C

`300Omega`

D

`500Omega`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to understand the color coding for resistors and how changing one color affects the resistance value. ### Step-by-Step Solution: 1. **Identify the Color Code for the Original Resistor:** The original resistor is stated to be 200 ohms. According to the standard resistor color code: - Red corresponds to the digit 2. - Black corresponds to the digit 0. - The third band (multiplier) is typically gold or silver, but since we are only concerned with the first two digits for this problem, we can assume the third band is not affecting the value directly. Therefore, the color code for a 200 ohm resistor is: - Red (2) - Black (0) - Multiplier (assumed to be 1, which is not affecting the value here). 2. **Understand the Change in Color Code:** The problem states that the red color (which corresponds to the digit 2) is replaced by green. According to the color code: - Green corresponds to the digit 5. 3. **Calculate the New Resistance:** By replacing the red (2) with green (5), the new color code will be: - Green (5) - Black (0) - Multiplier (assumed to be 1). Therefore, the new resistance will be: - The first digit is now 5 (from green). - The second digit remains 0 (from black). - So, the new resistance value is 50 ohms. 4. **Final Result:** The new resistance after replacing red with green is **500 ohms**.
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Knowledge Check

  • A voltmeter having a resistance of 1800 Omega employed to measure the potential difference across a 200 Omega resistor which is connected to the terminals of a dc power supply having an emf of 50 V and an internal resistance of 20 Omega . What is the percentage decrease in the potential difference across the 200 Omega resistor as a result of connecting the voltmeter across it?

    A
    `1%`
    B
    `5%`
    C
    `10%`
    D
    `25%`
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