Question

Evaluate resistance for the following colour- Coded resistors.
Brown-Black-Orange-Golden
Green-Blue-Silver-Silver

Answer 1

Hint: The color coded resistors are known as carbon resistors. These resistors are numbered for their respective resistance on the basis of the color of the rings around them. These rings are arranged in such a manner that they give us information of the first two significant figures, multiplier and the tolerance of the given color coded resistor. Hence knowing the significance of the colored rings on the resistor will enable us to determine the value of resistance for the above color coding

Complete answer:
The carbon resistors or the color-coded resistors have a high value of resistance. The first two rings of the carbon resistor represent the first two significant figures of the resistance. The third ring indicates the multiplier and the fourth ring indicates the tolerance of the resistance.
Given below is the chart that is used to code the resistances with color-codes.

Colour	Number	Multiplier	Tolerance
Black	0	1
Brown	1	${{10}^{1}}$
Red	2	${{10}^{2}}$
Orange	3	${{10}^{3}}$
Yellow	4	${{10}^{4}}$
Green	5	${{10}^{5}}$
Blue	6	${{10}^{6}}$
Violet	7	${{10}^{7}}$
Gray	8	${{10}^{8}}$
White	9	${{10}^{9}}$
Gold		${{10}^{-1}}$	5
Silver		${{10}^{-2}}$	10
No colour			20

Hence the resistance of the color-coded resistance having color code i.e., Brown-Black-Orange-Golden is, $10\times {{10}^{3}}\Omega $ and the tolerance of this resistor is 5%.
Similarly, the resistance of the color-coded resistance having color code i.e., Green-Blue-Silver-Silver is $56\times {{10}^{-2}}\Omega $ and has a tolerance of 10%.

Note:
These resistors in the higher range are mostly carbon resistors. These resistors are compact, inexpensive and have extensive uses in electronic circuits. The tolerance of a resistor is basically the variation in the actual value that is obtained from the color coding.