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Question

Question: In the figure, a carbon resistor has bands of different colors on its body as mentioned in the figur...

In the figure, a carbon resistor has bands of different colors on its body as mentioned in the figure. The value of the resistance is:

A. 2.2kΩ2.2k\Omega
B. 3.3kΩ3.3k\Omega
C. 5.6kΩ5.6k\Omega
D. 9.1kΩ9.1k\Omega

Explanation

Solution

Carbon resistors are made up of solid cysteine resistive elements with embedded leads or metal end caps to which the lead wire is attached. the value of the (characteristic) of the resistor is identified according to the 4 straps embedded over the resistance. Each strap and color have their meaning.

Complete answer:
When we study the resistance identification of the resistor we have to decode the values according to the color of the strap and its position. The coding of the color is done from left to the write strap. The 1st{{1}^{st}} three straps indicate the value of the resistance, and the 4th{{4}^{th}} strap stands for the percentage of error which can occur while using the resistor in a circuit. This would be more clearly understood from the diagram shown here,
(The color of the straps in this diagram is random they are just for expansion)

The 1st{{1}^{st}} three straps which indicate the value of the resistance have their meaning. The 1st{{1}^{st}} two straps show the unit and tens place of the resistance value and the 3rd{{3}^{rd}} strap denotes the number of zeros. The 4th{{4}^{th}} strap stands for the percentage of error which can occur while using the resistor in a circuit.
The list of color code of resistance is shown here,
For 1st{{1}^{st}} three straps

Colour codeValue
Black0
Brown1
Red2
Orange3
Yellow4
Green5
Blue6
Violet7
Grey8
White9

For error detection

Colour codeValue
Gold5%
Silver10%
Colour less15%


So from the value of the color code given in the table the resistance of the resistor given in the question which is shown in the above diagram will be,
\begin{aligned} & R=9100\pm 10\text{%}\\\ & \Rightarrow R=9.1\times {{10}^{3}}\pm 10\text{%}\\\ & \therefore R=9.1k\Omega \\\ \end{aligned}

So, the value of resistance is 9.1kΩ9.1k\Omega with an error occurrence percentage of ten percent.

Thus the correct option for the question is Option D.

Note:
The body of the resistor is isolated by the insulators like plastic, plastic, or fibers. This is done so that there is no chance of electric shock. These resistors are used in circuits like on a breadboard in laboratories. These resistors are mainly formed to deal with the DC sources.