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A 200 Omega resistor has a certain color...

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

A

`500 Omega`

B

`400 Omega`

C

`300 Omega`

D

`100 Omega`

Text Solution

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The correct Answer is:
To solve the problem, we need to first understand the color code for resistors and how changing the color affects the resistance value. ### Step-by-Step Solution: 1. **Identify the Original Resistance Value**: The given resistance is 200 ohms. In the standard format for color codes, this can be expressed as: \[ 200 \, \Omega = 20 \times 10^1 \] Here, '20' indicates the first two digits of the resistance, and '1' indicates the power of ten. 2. **Determine the Color Code for 200 Ohms**: The color code for the resistance can be broken down as follows: - The first digit '2' corresponds to the color Red. - The second digit '0' corresponds to the color Black. - The multiplier '10^1' corresponds to the color Brown. Therefore, the original color code for 200 ohms is: - Red (2), Black (0), Brown (1). 3. **Change the Color Code**: According to the problem, we are replacing the Red color with Green. The new color code will be: - Green (5), Black (0), Brown (1). 4. **Calculate the New Resistance Value**: Now, we need to find the resistance value represented by the new color code: - Green represents '5'. - Black represents '0'. - Brown represents the multiplier '10^1'. So, the new resistance can be calculated as: \[ \text{New Resistance} = 50 \times 10^1 = 500 \, \Omega \] 5. **Conclusion**: Therefore, when the red color is replaced by green in the color code, the new resistance will be **500 ohms**. ### Final Answer: The new resistance will be **500 ohms**.

To solve the problem, we need to first understand the color code for resistors and how changing the color affects the resistance value. ### Step-by-Step Solution: 1. **Identify the Original Resistance Value**: The given resistance is 200 ohms. In the standard format for color codes, this can be expressed as: \[ 200 \, \Omega = 20 \times 10^1 ...
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  15. To verify Ohm's law, a student connects the voltmeter across the batte...

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